Answers
Answer:
Step-by-step explanation:
From the given picture,
Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4
To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3
Statements Reasons
1). l₁ ║ l₂ and ∠2 ≅ ∠4 1). Given
2). ∠1 ≅ ∠2 2). Vertical angle theorem
3). ∠1 ≅ ∠4 3). Given
4). ∠1 ≅ ∠3 4). Corresponding angle theorem
5). ∠4 ≅ ∠3 5). Transitive property of congruence
Related Questions
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
Answers
Answer:
1. 2,160ft^3
2. multiply the total volume by 2.5
3. 5,400 BTUs
Step-by-step explanation:
hope this helps
The figure shown consists of a rectangle and quarter circle ?
Answers
Answer:
Can I have the numbers???
Step-by-step explanation:
me pueden ayudar a resolver la ecuaciones
Answers
-x=-60
Tú correcta respuesta es x=60
B. x+45
x=35-42
Tú correcta respuesta es x=-7
C. 18+x+-8=4
18+x-8=4
x+10=4
x=4-10
Tú correcta respuesta es x=-6
Find Equivalent Expression 1/2 (4x + 4)
Answers
Answer:
2x+2
Step-by-step explanation:
1/2(4x)+1/2(4)=2x+2
Find the area of the circle. Round your answer to the nearest hundredth. 3 in
Answers
Answer:
28.27 or 28 rounded up.
Answer:
7.07 in²
Step-by-step explanation:
Diameter = 3 in ( shown in figure )
Radius = 1/2( diameter) = 1/2 (3) = 1.5 in
Area of a circle = πr²
Area = (3.14)(1.5)²
Area = (3.14)(2.25)
Area = 7.065 in
Area = 7.07 in² ( round off)
A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)
Answers
Answer:
Step-by-step explanation:
any combination that has as result 18
18 x1
9 x2
6x3
Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
shots, how many would she have scored if she takes 60 shots? (Round your answer down to the nearest point
scored)
Add Media
Signature
Answers
Answer:
She would have scored 75 points.
Step-by-step explanation:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
[tex]40x = 50*60[/tex]
Dividing both sides by 40
[tex]x = 50*1.5 = 75[/tex]
She would have scored 75 points.
Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа
Answers
Parallel to y = 2x – 5
going through (-6, 1)?
Answers
Answer:
y=2x+13
Step-by-step explanation:
Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.
Therefore the gradient of the other line will also be 2.
Introduce another point (x,y) and then equate using the gradient as follows:
y-1/x--6=2
y-1/x+6=2
Cross multiplication;
(y-1)=2(x+6)
y-1=2x+12
y=2x+12+1
y=2x+13
T
|3x°
--
V
W
Find the measure of angles T and V.
mZT=
o
mZV=
Answers
Answer:
∠T = 67.5
∠V = 22.5
Step-by-step explanation:
Angles of a triangle rule: The angles of a triangle should add up to equal 180
That being said we create an equation to solve for x
180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )
Now that we've created an equation we want to solve for x
180 = 3x + x + 90
step 1 combine like terms
3x + x = 4x
now we have 180 = 4x + 90
step 2 subtract 90 from each side
180 - 90 = 90
now we have 90 = 4x
step 3 divide each side by 4
4x / 4 = x
90 / 4 = 22.5
we're left with x = 22.5
Now we want to find ∠T and ∠V
To do so we replace x in the given expressions with 22.5
for ∠V
∠V = x so ∠V = 22.5
for ∠T
∠T = 3x
* replace x with 22.5 *
3 (22.5) = 67.5
Hence ∠T = 67.5
A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?
Answers
Answer:
128
Step-by-step explanation:
What is the length of side x and y? *????????????????????????
Answers
7hd6Sbj639
How many pairs of opposite sides are parallel
Answers
Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5
Answers
9514 1404 393
Answer:
B. r = 6.30÷5
Step-by-step explanation:
The cost per pencil is found by dividing the cost by the number of pencils.
Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...
r = 6.30 ÷ 5
Nathan is going to invest in an account paying an interest rate of 4.9% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $34,000 in 9 years?
Answers
Answer:
731.48
Step-by-step explanation:
you take 6 percent form 100 percent with give 94 percent
then you times 1200 by 94 percent 8 times to get answer
Answer:
21880
Step-by-step explanation:
ON DELTA MATH
What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.
O 7.1
O 8.7
O 21.3
O 26.7
Answers
Answer:
8.7
Step-by-step explanation:
formula
d = sqrt(s^2 + s^2 + s^2)
d = sqrt(3*5^2)
d = sqrt(75)
d = 8.7
Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)
Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.
Answer:
hello love! your answer is 8.7cm :)
Step-by-step explanation:
i got it right on edge !
A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?
liters of 30% acid
liters of 40% acid
Answers
Answer:
30 = 80 %
40= 20 %
Step-by-step explanation
I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent
The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be 30% solution of acid and y be 40% solution of acid.
Total quantity of solution is 65 liters.
Now, x+y=65 ----------(i)
Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.
So, the equation is 30% of x+40% of y=32% of 65
0.30x+0.40y=0.32×65
0.30x+0.40y=20.8 ----------(ii)
From equation (i), x=65-y
Substitute x=65-y in equation (ii), we get
0.30(65-y)+0.40y=20.8
19.5-0.30y+0.40y=20.8
0.10y=20.8-19.5
0.10y=1.3
y=1.3/0.1
y=13
Substitute y=13 in equation (i), we get x=52
Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
To learn more about the linear system of an equations visit:
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What is c/6=9 equals to
Answers
c = 54
!!!_!£((£2((2)1)1)1
How would the imaginary number 7/2i be written as a complex number?
Answers
Answer:3.5? i’m not sure sorry
hope that kinndaaaa helps if xxo
Step-by-step explanation:
The representation of (7/2)i in complex number will be 0 + (7/2)i thus option (C) will be correct.
What is a complex number?Complex numbers are helpful in finding the square root of negative numbers.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.
The complex number is written as a + ib where a is said to be the real part while bi is the imaginary part.
As per the given (7/2)i here real part is missing thus, put a = 0
0 + (7/2)i will be the correct.
Hence "The representation of (7/2)i in complex number will be 0 + (7/2)i".
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(10x - 4)=20
Question: What value of x makes the equation true
Answers
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
anna's rug has sides lenghts of 4 feet and 9 feet what is the area of anna's rug
Answers
Answer:
36 feet :P
Step-by-step explanation:
4x9=36 habe a wonderful day love
Answer:
0.44. ??
Step-by-step explanation:
What is the value of this expression when X equals 8? 4X -6+ X +3
Answers
Answer:
32-6+8+3
37
Step-by-step explanation:
Answer:
32 - 6 + 8 + 3 = 37
Step-by-step explanation:
Since we have the x-value, we can plug it in.
4(8) -6 +(8) +3
32 - 6 + 8 + 3
26 + 11
37
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answers
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
One angle of a right triangle measures 60°. What is the measure of the other acute angle?
Answers
Answer:
30 degrees
Step-by-step explanation:
triangles have 180 degrees
right triangles have a right angle which is 90 degrees
180-90=90
90-60=30
Answer:
30 degrees
Step-by-step explanation:
A triangle has three sides that should add up to 180.
Since it is a right triangle a side has to be 90°.
90°+60°+_30°_ = 180°
The diameter of one red blood cell is about 2.95E-4 of an inch. It would take about 5.35E12 red blood
cells laid end to end to span the circumference of the earth.
What would be the length of this chain of red blood cells?
Answers
Answer:
1.578 × 109 inches
Step-by-step explanation:
Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.
First, write both numbers in scientific notation.
Now, multiply using the product property of exponents.
Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.
So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.
Solve the given proportion 2/4 = 5/x
Answers
1/2 = 5/x
1 * 5 = 5
— —
2 * 5 = 10
x= 10
The solution to the proportion 2/4 = 5/x is x = 10.
To solve the given proportion 2/4 = 5/x, we can cross-multiply and then solve for x.
Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and then multiplying the denominator of the first fraction with the numerator of the second fraction.
Using the given proportion:
2/4 = 5/x
Cross-multiplying:
2 * x = 4 * 5
Simplifying:
2x = 20
To isolate x, divide both sides of the equation by 2:
(2x)/2 = 20/2
Simplifying:
x = 10
Therefore, the solution to the proportion 2/4 = 5/x is x = 10.
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Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3
Answers
Answer:
Correct Answer:
Option (B) -10r2 + 41 - 3
Step-by-step explanation:
#platolivesmatter
Hope this helped :)
Comment for more help, I respond very fast ;)
The expression is equal to f(x) + g(x) is -10x^2 - 3x + 4, the correct option is C.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The expression f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)
Now,
To find f(x) + g(x), you can add the two functions term by term. This gives you:
f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))
f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x
f(x) + g(x) = -10x^2 - 3x + 4
Therefore, by the given expression the answer will be -10x^2 - 3x + 4.
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Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.
Answers
The axis of symmetry will serve as a ladder through the coaster at x = -3.
Is 2/5 greater than 2/3?
Answers
Answer:
no because 2/3 is greater
Answer:
no
Step-by-step explanation:
2/5 and 2/3 can be turned into 6/15 and 10/15. you can clearly see 10/15 (2/3) is higher in value than 6/15.
The question is down below.
AB=
Answers
Answer:
Step-by-step explanation:
This time we use the sin identity.
I am too lazy to write it out again but the answer is 6.97