The order of the answers doesn't matter.
================================================
Explanation:
a || b means the two lines a and b are parallel
If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.
Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.
Solve for x
|5x+15| = 100
5x+15 = 100 or 5x+15 = -100
5x = 100-15 or 5x = -100-15
5x = 85 or 5x = -115
x = 85/5 or x = -115/5
x = 17 or x = -23
The value of x is 17.
What is alternate exterior angle?When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.
Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.
Given:
<1 = 5x + 15
<2 = 100
Using alternate exterior angle
5x + 15 = 100
5x = 100- 15
5x = 85
x= 85/5
x= 17
Hence, the value of x is 17.
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Item 3
A rectangle is 29 feet long and 7 feet long.
What is the area of this rectangle?
203 ft²
143 ft²
107 ft²
72 ft²
Answer: 203
Step-by-step explanation:
to find the area, you have to multiply the length of the sides together. 29x7 = 203
2x-y=10 y=-4x+2 substitution method
Answer:
the solution is (2, -6)
Step-by-step explanation:
Substitute the second equation into the first, replacing y in the first:
2x - (-4x+2) = 10
Simplifying, we get:
2x + 4x - 2 = 10, or:
6x = 12, which yields x = 2.
Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6
Then the solution is (2, -6).
Cora charges $20 for each lawn she mows. However, she has to pay her father $12
each day she uses his lawn mower. How much does she earn if she mows 3 lawns in
one day?
Answer:
$48
Step-by-step explanation:
Cora earns $20 for each lawn
She gives her father $12 EACH DAY for his lawn mower
In a day, she mows 3 lawns which is worth= 20*3= $60
but since it is in a day, she gives her father $12 for the day from the $60
Therefore, her final earning is, $60-$12= $48
A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df = 3, 40. Based on this information, what are the df values for the A x B interaction?
Answer:
The df values for the A x B interaction are also 3,40
Step-by-step explanation:
The F-value for Factor A has df = 1, 40
The F-value for Factor B has df = 3, 40.
The df values for the A x B interaction are also 3,40
This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and the source of variation between rows has (r-1); rc(n-1) degrees of freedom and the source of variation of interaction
(between rows and columns) has ( c-1) ( r-1); rc(n-1) degrees of freedom.
Therefore
Factor A: ( c- 1); rc(n-1) = 1,40
Factor B: (r-1); rc(n-1) = 3,40
Interaction : ( c-1) ( r-1); rc(n-1) = 3*1,(40)= 3,40
where c refers to columns , r refers to rows and n refers to the total sample size.
A 10ft by 10ft square garden contains a large walking path through the diagonal. What is the area of the walking path shown in the gray below?
please help! I need to solve it algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!
The answer is x=-10
Step-by-step explanation:
the reasoning is you do the inverse or opposite of three to both sides so you add +3 to both sides so the -3 and the +3 would cancel out then you would add +3 to the integer -23 and get -20 next is you divide by 2 on each side so you 2÷2 which would cancel out and then -20÷2 which would equal -10
Hence the answer is x=-10
What does this mean and what is the answer?
-3(-7)
Answer:
-3 * -7 = 21
Step-by-step explanation:
-3(-7) = -3 * -7
Multiply
Remember: negative * negative = positive
So -3*-7 = 21
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In triangle RST, the measure of angle T=90°, the measure of angle R=82°, and TR=44 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
[tex]x=6.183ft[/tex]
Step-by-step explanation:
From the question we are told that:
Angel of side [tex]T=90[/tex]
Angel of side [tex]R=82[/tex]
Length Side [tex]TR=44[/tex]
Generally the equation for Angle of side ST [tex]\theta[/tex] is mathematically given by
Since Angle in Triangle =180 therefore
[tex]\theta=180-(90+82)[/tex]
[tex]\theta=8[/tex]
Therefore Applying sine rule to get Length of ST x
[tex]\frac{x}{sin\theta}=\frac{TR}{sin82}[/tex]
[tex]x=\frac{44}{sin82}*sin8[/tex]
[tex]x=6.183ft[/tex]
4x + 8y = 20 and -4x + 2y = -30
Step-by-step explanation:
Given :-
4x + 8y = 20 -4x + 2y = -30Adding the equations :-
[tex]: \implies[/tex] 10y = -10
[tex]: \implies[/tex] y = -1
Put it (i) :-
[tex]: \implies[/tex] 4x - 8 = 20
[tex]: \implies[/tex] 4x = 20 + 8
[tex]: \implies[/tex] 4x = 28
[tex]: \implies[/tex] x = 28/4
[tex]: \implies[/tex] x = 7
Mr. Jones has a box that is a right rectangular prism, It has a height of 2 inches, a width of 3 inches, and a volume of 30 cubic inches. How many inches long is Mr. Jones' box? *
Answer:
The box is 5 inches long.
Step-by-step explanation:
V=lwh
30=l(3)(2)
30=6l
30/6=l
5=l
Divide 78 in the ratio 8 : 1 : 4
Answer:
78×8/13=48
78×1/13 =6
78×4/13=24
8:1:4
48:6:24
Help me find answers ASAP please
What is the area of a circle with a radius of 3? Give your answer in terms of π.
Answer:
9π
Step-by-step explanation:
the area of a circle =
π×r² = π×3² = 9π
radius=r=3
Area
πr²π(3)²9π units ²A box is designed to hold pencils the front of the box will be made of a clear material for display. The rest of the box will be made from cardboard
Answer:
100 cm²
Step-by-step explanation:
Given that :
Length of prism = 20 cm
Height, h = 5cm
Width, w = 4 cm
The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)
Area of rectangle = Length * height
Area = 20 * 5 = 100 cm²
On a number line, the distance between x and 8 is 2 units.
Which equation can be used to determine the possible values for x?
Answer:
x+2=8
x+2_2=8_2
x=6
x=2*3
x=6
Kendall found that the solutions to a quadratic equation were -2 and 3. Which of the following descriptions of the quadratic equation are true? Select all that apply
А The x-intercepts of the graph are also - 2 and 3
B
The x-intercepts of the graph are 2 and 3)
C
The factors are (x - 2) and (x + 3).
D
The factors are (x + 2) and (x-3).
The equation is y six + 2)(x - 3),
The equation is y(x-2)(x + 3).
If the solutions to a quadratic equation were -2 and 3 then,
А. The x-intercepts of the graph are also - 2 and 3.
C. The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0 is x² = x - 6 = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The solutions to a quadratic equation were -2 and 3.
∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).
So, The x-intercepts of the graph are also - 2 and 3.
The factors are (x - 2) and (x + 3).
The equation is ax² + bx + c = 0
= (x + 2)(x - 3) = 0
= x² - 3x + 2x - 6 = 0
= x² = x - 6 = 0.
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Which of these best describes the circumference?
A The square root of the area of a circle
B. The ratio of the radius of a circle to its diameter
C. The radius of a circle times 3.14
D. The diameter of a circle times 3.14
Answer:
D
Step-by-step explanation:
Since the formula of circumference is 2πr
f , what is the truncation error for S3?
0.016
0.031
0.219
0.234
Answer: it’s B, 0.031
Step-by-step explanation: edge 2021
Please help with this
Answer:
CORRECT STATEMENTS:
CDStep-by-step explanation:
Help me please! No idea
Answer:
40
Step-by-step explanation:
What is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters round the answer to the nearest square meter
Answer:
1803 square meter
Step-by-step explanation:
The surface area of a cone
A=πr(r+V(h2+r2))
where A is the surface area, r is the radius and h is the height
Given that the height of 54 meters and a diameter of 18 meters, the radius is half the diameter hence
radius = 18/2 = 9 m
A = 9π (9 + V(54^2 + 9^2))
= 9π (9 + V2997)
= 9π (9 + 54.74486)
= 1803.068976 Square meters
To the nearest square meter
A = 1803
There were 300 adults and 180 children at a football game. What percent of the spectators were adults?
Answer:
62.5
Step-by-step explanation:
300+180=480
300/480×100
this would be SSS correct ?
Answer:
Yes
Step-by-step explanation:
I think so
A store has shirts on display. Seven of the shirts are red. There are 5 more blue shirts than green shirts. There are 2 fewer yellow shirts than green shirts. If there are 28 shirts in all, how many shirts are there of each color? Ask for details Follow Report
Answer:
7 red shirts
6 green shirts
11 blue shirts
4 yellow shirts
Step-by-step explanation:
Let y represent the number of green shirts.
So y+5 is the number of blue shirts.
And y-2 is the number of yellow shirts.
And we have 5 red shirts.
Therefore,
7+5+y+y-2+y=28
12-2+3y=28
10+3y=28
3y=28-10
3y=18,divde through by 3
y=6
If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16
Answer:
24
Step-by-step explanation:
if A is a point between B and C, then'
BA + AC = BC
GIven
AB = 26 and BC = 50
BA = 26
Substitute
26 + AC = 50
AC = 50 - 26
AC = 24
Hence thelength of AC is 24
What is the next number in the pattern below? 6, 13, 21, 30, ____
Answer:
40
Step-by-step explanation:
6+7=13
13+8=21
21+9=30
30+10=40
someone please help i need to be done with 34 assignments by tomorrow
i'm a whole month behind bc there was a family emergency and i had to fly out of state but now i'm behind
NO LINKS OR FILES
Answer:
y=2(x + 2))^2 - 9
Step-by-step explanation:
So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.
With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9
I need help I’ll give brainlist answer.
Answer:
All beside D
Step-by-step explanation:
Find the volume of the given cylinder
Answer:
The answer is 32 I just know it
Sum of 2 fifths of x and 6x and 6 in algebraic expression
Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6
Answer:
(14x+12)/5
Step-by-step explanation:
2 fifth of x = 2/5 * x= 2x/5
2 fifth of 6x = 2/5 * 6x = 12x/5
2 fifth of 6 = 2/5 * 6 = 12/5
2x/5 + 12x/5 + 12/5
= (2x+12x+12)/5
= (14x+12)/5