In the diagram, a∥b and b∥c. Find the values of x. PLEASEEE HELP

In The Diagram, Ab And Bc. Find The Values Of X. PLEASEEE HELP

Answers

Answer 1
Answers:  x = 17 or x = -23

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

Answer 2

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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Related Questions

4x + 8y = 20 and -4x + 2y = -30

Answers

Step-by-step explanation:

Given :-

4x + 8y = 20 -4x + 2y = -30

Adding 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

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

Answers

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


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).

Answers

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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Help me find answers ASAP please

Answers

The answer to the question is 40 because it is

f , what is the truncation error for S3?

0.016
0.031
0.219
0.234

Answers

Answer: it’s B, 0.031

Step-by-step explanation: edge 2021

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?

Answers

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.

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

Answers

Answer: 203

Step-by-step explanation:

to find the area, you have to multiply the length of the sides together. 29x7 = 203

There were 300 adults and 180 children at a football game. What percent of the spectators were adults?

Answers

Answer:

62.5

Step-by-step explanation:

300+180=480

300/480×100

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

Answers

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

What is the area of a circle with a radius of 3? Give your answer in terms of π.

Answers

Answer:

Step-by-step explanation:

the area of a circle =

π×r² = π×3² = 9π

radius=r=3

Area

πr²π(3)²9π units ²

Help me please! No idea

Answers

Answer:

40

Step-by-step explanation:

What is the next number in the pattern below? 6, 13, 21, 30, ____

Answers

Answer:

40

Step-by-step explanation:

6+7=13

13+8=21

21+9=30

30+10=40

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? *

Answers

Answer:

The box is 5 inches long.

Step-by-step explanation:

V=lwh

30=l(3)(2)

30=6l

30/6=l

5=l

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!

Answers

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

2x+ (-3) = -23
2x + (-3) - (-3) = -23 - (-3)
2x = -23 + 3
2x = -20
2x/2 =-20/2
x = -10

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

Answers

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

Divide 78 in the ratio 8 : 1 : 4

Answers

Answer:

78×8/13=48

78×1/13 =6

78×4/13=24

8:1:4

48:6:24

this would be SSS correct ?

Answers

Answer:

Yes

Step-by-step explanation:

I think so

yes because there are three sides that are equal to each other consecutively

What does this mean and what is the answer?

-3(-7)​

Answers

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

If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16

Answers

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

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

Answers

Answer:

D

Step-by-step explanation:

Since the formula of circumference is 2πr

2x-y=10 y=-4x+2 substitution method

Answers

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).

I need help I’ll give brainlist answer.

Answers

Answer:

All beside D

Step-by-step explanation:

Sum of 2 fifths of x and 6x and 6 in algebraic expression​

Answers

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

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?

Answers

Answer:

x+2=8

x+2_2=8_2

x=6

x=2*3

x=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?

Answers

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

Find the volume of the given cylinder

Answers

Answer:

The answer is 32 I just know it

A 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

Answers

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

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.

Answers

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]

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?

Answers

64fts^2 is the answer

Please help with this

Answers

Answer:

CORRECT STATEMENTS:

CD

Step-by-step explanation:

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