The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68
How to find the amortization ?The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.
First, find the period in months:
= 5 x 12 months a year
= 60 months
The interest in months :
= 9 . 5 % / 12 months per year
= 9.5 / 12 %
The monthly amortization is:
= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)
= 900, 000 / 47.614827336156
= ₱ 18, 901.68
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What is the major theme and minor theme in “Arachne and the weaving contest”
The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .
What is major axis ?The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.
given
The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.
As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.
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A rectangular room measures 10 feet by 120 inches. Tonya said the area of the room is 1200 square feet. What did Tonya do wrong?
Answer: Tonya's calculation is incorrect because she mixed units of measurement. She used feet to measure one dimension of the room (10 feet) and inches to measure the other dimension (120 inches) and then calculated the area as 10 x 120 = 1200 square feet.
Area is a measure of the amount of space inside a two-dimensional shape, and it's typically measured in square units. To calculate the area of a rectangular room, you multiply the length of the room by the width of the room,
However in this case, Tonya used different units of measurement for length and width (feet and inches), and therefore the answer is incorrect.
You would need to convert inches to feet before multiplying 10 feet by 120 inches to get the area.
120 inches = 10 feet
So, the correct calculation of the area would be 10 feet * 10 feet = 100 square feet
It's worth mentioning that before calculating any area or volume, it's important to make sure that all units of measurement are consistent and the same.
Step-by-step explanation:
A blue rope is 3 times as long as a red rope. A green rope is 4 times as long as the blue rope. If the total length of the three ropes is 563.84 meters, what is the length of the blue rope?
Answer:
105.72 meters
Step-by-step explanation:
We can set up a system of equations to represent the information given in the problem, and then use algebra to solve for the length of the blue rope. Let x be the length of the red rope.
According to the problem statement:
blue rope = 3 * red rope = 3x
green rope = 4 * blue rope = 4 * 3x = 12x
we know that:
red rope + blue rope + green rope = 563.84
x + 3x + 12x = 563.84
then we can solve for x:
16x = 563.84
x = 35.24
So the length of the red rope is 35.24 meters.
The length of the blue rope is 3x = 3 * 35.24 = 105.72 meters.
hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the inequality are
-6x + 15 < 10 - 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Solving inequality and determining the correct representationsFrom the question, we are to determine the correct representations of the inequality
From the given information,
The given inequality is
-3(2x - 5) < 5(2 - x)
To determine the correct representations, we would proceed to solve the inequality
Solving the inequality
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x
This is one of the representations of the inequality
Then,
Collect like terms
-6x + 15 < 10 - 5x
-6x + 5x < 10 - 15
-x < -5
Multiply through by -1
x > 5
If the solution is represented on a number line, we would have a number line from negative 3 to 3 with an increments of 1 and an open circle at 5 and a bold line starts at 5 and is pointing to the right.
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elijah used 3/4 of the memory on his cell phone memory card if the memory card can hold 32 gigabytes how many gigabytes did elijah used
Elijah used 24 gigabytes memory on his cell.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Elijah used 3/4 of the memory on his cell phone memory card.
And, The memory card can hold 32 gigabytes.
Now,
Since, The memory card can hold 32 gigabytes.
And, She used 3/4 of the memory on his cell phone memory card.
Hence. The used memory = 3/4 of 32
= 3/4 × 32
= 3 × 8
= 24 gigabytes
Thus, Elijah used 24 gigabytes memory on his cell.
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Determine the value of x.
A) 2√3 B) 6√3 C) 12 D) 12√3
-15 POINTS-
Don’t explain.
Y=[?]
Step-by-step explanation:
of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.
both shapes are similar.
that means that
1. both have the same angles
2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).
we need 2. here to solve.
AB / EF = f = 3/2
x = AD
x / EH = f = 3/2
x / 2.4 = 3/2
x = 2.4 × 3/2 = 7.2 / 2 = 3.6
Given:m<1+m<2=90 and m<3+m<4=90,prove m<1=m<4
The proof that the angles m<1 = m<4 is shown below
How to prove the measure of the anglesFrom the question, we have the following parameters that can be used in our computation:
Measure of angles
The angle measurements are then given as
m<1 + m<2 = 90 and m<3 + m<4 = 90
The relationship to prove is also given as
m<1 = m<4
Using the above as a guide, we have the following:
Subtract the equations m<1 + m<2 = 90 and m<3 + m<4 = 90
This gives
m<1 + m<2 = 90
-(m<3 + m<4 = 90)
Evaluate the difference
m<1 + m<2 = m<3 + m<4
When both sides of the angle equations are compared, we have:
m<1 = m<4
m<2 = m<3
Ignoring the second equation, we have
m<1 = m<4
Hence, the measure of the angles has been proved
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evaluate 6²-2(5+1+3)
Answer:
18
Step-by-step explanation:
36-10-2-6
26-8
18
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Consider the following problem:
The length s(t) of the side of the base of a square prism is decreasing at a rate of 7
kilometers per minute and the height h(t) of the prism is increasing at a rate of 10
kilometers per minute. At a certain instant to, the base's side is 4 kilometers and the
height is 9 kilometers. What is the rate of change of the surface area A(t) of the
prism at that instant?
Match each expression with its given value.
The rate of change of surface area is 524.02 square kilometers per minutes.
what is surface area of square prism?The total space occupied by a three-dimensional square prism is called surface area.
What is the rate of change of surface area of the prism?
Given, the decreasing rate of the base side with respect to time, ds/dt = 7 km/min
the increasing rate of height with respect to time, dh/dt = 10 km/min
At a time, t, base side, s = 4 km
and height, h = 9 km
we need to determine the rate of change of surface area with respect to time, d A/dt
from the differentiation chain rule, d A/ dt = d A /dt × ds /ds
d A /dt = d A/ ds × ds /dt ... equation 1
we know that the surface area for prism, A = 2s² + 4sh
if we differentiate with respect to s then we find d A /ds
d/ds (A) = d/ ds (2s² + 4sh)
d A /ds = 4s + 4h +4s dh/ds ...... equation 2
now dh /ds = dh /ds × dt /dt [ using differentiation chain rule]
dh/ds = dh/ dt× dt/ds
d h/ ds = dh/dt × 1/ ds/dt
it stated earlier that dh/ dt = 10 and ds /dt = 7
dh / ds = 10/7
putting this value in equation 2, we get
d A /ds = 4s +4h + 4s ×10/7
as we know at time t, s= 4 and h = 9
d A /ds = 4 × 4 + 4 ×9 +4×4 ×10 /7
d A /ds = 74.86
putting the value d A /ds in equation 1, we get
d A /dt = d A /ds × ds/ dt
d A/ dt = 74.86 × 7
d A /dt = 524.02 km² / min
hence, the rate of change of surface area = 524.02 square kilometers per minutes
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PLEASE HURRY I WILL GIVE BRAINLY PLEASE HURRY
In triangle LMN, m∠L = (4c + 53)°. If the exterior angle to ∠L measures 87°, determine the value of c.
c = 87
c = 8.5
c = 35
c = 10
Answer:c=35
Step-by-step explanation:
i just did this
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20
Answer: B
Step-by-step explanation:
Ln 4 - Ln x = 2
Solve for x showing all steps. Round to the nearest hundredth.
Please give step by step instruction
PLEASE HELP!
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Exact Circumference = 4pi feet
Approximate Circumference = 12.56 feet (when using pi = 3.14)
======================================================
Explanation:
The larger circle has a 3 foot radius.
The inner circle has a 3-1 = 2 foot radius.
Let's find the circumference of the smaller inner circle, which represents the glass window and ignores the metal frame surrounding it.
C = 2pi*r
C = 2pi*2
C = 4pi
The exact circumference is 4pi feet. This is the perimeter around the circle.
If you wanted, you can use an approximation like pi = 3.14 to find that 4pi = 4*3.14 = 12.56 feet is the approximate circumference.
The length of a rectangle is twice its width. The perimeter is 30. Find it’s dimensions.
Answer:
Length = 10 Width = 5Step-by-step explanation:
Let's assume that,
→ Length = 2x
→ Width = x
→ Perimeter = 30
Perimeter of rectangle formula,
→ P = 2(L + W)
Now the value of x will be,
→ P = 2(L + W)
→ 2(2x + x) = 30
→ 2 × 3x = 30
→ 6x = 30
→ x = 30/6
→ [ x = 5 ]
Then required dimensions are,
→ Length = 2x = 2 × 5 = 10
→ Width = x = 5
Hence, these are the dimensions.
Length = 10
width = 5
Given-
Perimeter =30
l=2b........................................................ i
so
P =2(l+b)
here
30 = 2(2b +b)... ... .............. as l=2b from i
30 = 2*3b
30 = 6b
b= 5
which implies l= 2*5 --->10............................................ from i
so
Length = 10
width = 5
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What is the following sum?
Answer:
The 4th one
Step-by-step explanation:
Right on edge!
If s is directly proportional to t, and s = 30 when t = 15, find t when s = 64.
Step-by-step explanation:
please refer to sketch for detail
Ed is using the recipe shown to make fruit salad. He wants to use 30 diced strawberries in his fruit salad. How many bananas, apples, and pears should Ed use in his fruit salad?
Fruit Salad Recipe - 4 bananas, diced. 3 apples, diced. 6 pears, diced. 10 strawberries, diced.
Answer:
12 bananas
9 apples
18 pears
Step-by-step explanation:
You are tripling the recipe.
10 x 3 = 3
4 x 3 = 12
3 x 3 = 9
6 x 3 = 18
Need Help With This
Step-by-step explanation:
a) x+20+x+90=180 [sum of 3 angel of triangle]
2x + 110 = 180
2x = 180- 110
2x = 70
x = 70÷2
x = 35
b) 2y + y + y = 180
4y = 180
y = 180÷4
y= 45
c) 4z-30 + 2z = 180
6z = 180 + 30
6z = 210
z = 35
Please need help ASAP, 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!
Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed.
(1). ΔIJH ≅ ΔKHJ, by SSS criterion,
and (2) we need, ΔTNS and ΔUHS are right-triangles and S is the mid-point to prove ΔTNS ≅ ΔUHS, by HL criterion.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
We have the triangle:
ΔIJH ≅ ΔKHJ.
To prove the congruent by SSS:
We have to show that three sides of the triangle are congruent to three sides of the other triangle.
Here,
IJ ≅ KH.
IH ≅ JH, Given.
And both triangles share the same side JH.
So,
JH ≅ JH
So, ΔIJH ≅ ΔKHJ, by SSS criterion.
ΔTNS ≅ ΔUHS.
To prove the congruent by HL:
We have to show that the triangles are right-triangle and one leg and hypotenuse of the triangle is congruent to one leg and hypotenuse of the other triangle.
So, we need;
ΔTNS and ΔUHS are right-triangles.
S is the mid-point.
So,
SN ≅ SH.
ST ≅ US
So, ΔTNS ≅ ΔUHS, by HL criterion.
Therefore, ΔIJH ≅ ΔKHJ, by SSS criterion and we need;
ΔTNS and ΔUHS are right-triangles and S is the mid-point.
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Your company is considering a new project that will require $250,000 of new equipment at the start of the project. The equipment will have a depreciable life of eight years and will be depreciated to a book value of $10,000 using straight-line depreciation. The cost of capital is 12 percent, and the firm's tax rate is 21 percent. Estimate the present value of the tax benefits from depreciation.
The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80
What is Depreciation?According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.
As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.
While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.
The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:
cost of capital = 12 %
Depreciation = $10000
Life of the project = 8 years
Tax rate = 21%
Present value annuity factor (PVAF) at 12% for 8 years will be:
0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404
Grand total of the (PVAF) at 12% = 4.968
Now multiply the PVAF with depreciation amount
Present Value of Depreciation = 4.968 × 10000 = $49,680
Tax benefit from depreciation = $49,680 × 21% = $10432.8
Thus the tax Tax benefit from depreciation is $10432.80
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For a science experiment, each student needs 5 grams of salt. If there are 26 students in the class how many milligrams of salt will they need?
.
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18
According to the above table, what was the average number of pools sold per month during this period? Round to the nearest tenth if necessary.
According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)
What is average?It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.
The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
It is represented mathematically as;
Average = Sum of Values/Number of Values
Average = total swimming pools sold in six months / number of months
Average = (11 + 10 + 12 + 16 + 15 + 18) / 6
Average = 82/6
Average = 13.7
Average = 14 (to the nearest tenth)
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Please do 1. and 2.! 25 points, please need asap!
Step-by-step explanation:
1
We can see that RS divides ∆PQS into two equal parts
So,
PR = RQ
Therefore
RQ = 5.1
Now
PQ = PR + RQ
=> PQ = 5.1 + 5.1
=> PQ = 10.2
2
Here
KM is the angle bisector
So
JM = ML
JM = 46
Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214?
Answer:
To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.
If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.
If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.
If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.
Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.
Goran wants to build a square picture frame with sides that are 5.25 inches long. Natalie wants to build a square sandbox and needs 11 times the amount of wood that Goran needs to build his frame. They have 4 pieces of wood that are each 65.5 inches long. How much wood will they have left over after making the frame and sandbox?
After constructing the frame of the sides 5.25 and sandbox, there is 10 inches of wood left over.
What is a square?A square is a closed, two-dimensional shape that has four equal sides and four vertices. Parallel to one another are its opposing sides. A square is also equivalent to an equal-length and-width rectangle. A square is a regular quadrilateral with four equal-length sides and four equal-length angles. The square's angles are 90 degrees or at right angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle. A square is a two-dimensional shape with four equal-length sides. A square's opposing sides are parallel to one another, and its four internal angles are all right angles.
given,
The total amount of wood.
= 4 x 65.5
= 262 inches.
Frame:
Side = 5.25 inches
The perimeter of the frame.
= 4 x 5.25
= 21 inches
Now,
Sandbox:
The wood used for the sandbox.
= 11 x 21
= 231 inches
The remaining wood.
= 262 - (21 + 231)
= 262 - 252
= 10 inches
The wood left over after making the frame of sides 5 .25 inches and the sandbox is 10 inches.
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1.
(01.01 LC)
Subtract 28.9 − 9.25 =
19/65
(1 point)
2.
(01.01 C)
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.6 is added to an unknown whole number and 54 hundredths to equal 36.14.
(1 point)
36.14
3.
(01.02 LC)
Multiply 11.9 × 22.1. (1 point)
2.6299
2,629.9
262.99
26.299
4.
(01.03 LC)
What is the remainder when 16,055 is divided by 16? (Input numeric values only) (1 point)
10,03 and the remainder is 7
5.
(01.03 MC)
What is the quotient of 52.7 ÷ 4.25? (1 point)
1.24
12.4
13.28
132.8
6.
(01.05 MC)
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days' worth of seed Gracy has left? (1 point)
Rectangle model divided into five equal sections, four sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and one-half days.
Rectangle model divided into ten equal sections, five sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and two-thirds days.
Rectangle model divided into five equal sections, four sections are labeled four-fifths and two sections are labeled three-tenths, equaling two days.
Rectangle model divided into ten equal sections, eight sections are labeled four-fifths and three sections are labeled three-tenths, equaling two and two-thirds days.
7.
(01.06 HC)
Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why? (1 point)
Yes, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 2 and 5 over 8
No, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 1 and 2 over 12
No, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 1 and 2 over 12
Yes, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 2 and 5 over 8
8.
(01.07 MC)
A right rectangular prism has these dimensions:
Length − Fraction 1 and 1 over 4 units
Width − Fraction 5 over 8 unit
Height − Fraction 3 over 4 unit
How many unit cubes of side length Fraction 1 over 8 unit are required to pack the prism without any gap or overlap? (1 point)
60
75
150
300
9.
(02.01 MC)
A fish tank has black and white fish in the ratio of 2 to 6 as shown below:
2 black fish and 6 white fish are shown
Which is another ratio that can describe the black to white fish? (1 point)
1 to 5
5 to1
1 to 3
3 to 1
10.
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water? (1 point)
one over ten
one over five
two over seven
two over five
11.
(02.03 LC)
Victor made different flags that had the same ratio of the length to the width. The table below shows the length and width of the flags Victor made:
Length (centimeter)
Width (centimeter)
3
2
6
4
9
6
12
8
?
10
The missing value in the table is
centimeters. (1 point)
12.
(02.03 MC)
The ratio of the number of cookies to the number of candies in different gift boxes is 5:7. Which table best shows the number of cookies and candies in different gift boxes? (1 point)
Cookies
Candies
5
12
10
24
15
36
Cookies
Candies
2
7
10
35
12
42
Cookies
Candies
10
14
15
21
20
28
Cookies
Candies
11
13
14
16
18
20
13.
(02.03 MC)
A printer printed 68 letters in 4 seconds. If it prints letters at a constant speed, it can print
letters in 30 seconds. (1 point)
How do I even do thissss?
Please provide your question with a math problem in the form of an image or text.
6x(2x+3)+1(2x+3)
Rewrite the expression
Find x, y, mzC, and mA' given m/A = y;
m/A' = 2x + 5, mc-3x-y,
mZC' = 4
The value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
What is the triangle translation?
In mathematics, a triangle translation refers to the geometric transformation in which a triangle is moved to a new position without rotating or scaling it. The triangle is simply slid along a straight line in a certain direction, and the new position of the triangle will be parallel to the original one.
Given that ΔABC translates to ΔA'B'C', we can assume that the measures of the angles are the same in both triangles. Therefore, if we know the measure of an angle in one triangle, we can assume that the measure of the corresponding angle in the translated triangle is the same.
Given:
m∠A = y
m∠A' = 2x + 5
m∠C = 3x-y
m∠C' = 4
Since opposite angles in a rectangle are congruent, m∠A=m∠C' and m∠C = m∠A'
Therefore,
y = 4
3x-y = 2x + 5
Solving this equation gives us:
x = y + 5 = 4 + 5 = 9
y=4
m∠C = 3x - y = 3(9) - 4 = 25
m∠A' = 2x + 5 = 2(9) + 5 = 23
Hence, the value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
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