If m∠2=4x+7 and m∠7=5x-13, find x.

Answer:

x =20

Step-by-step explanation:

m∠2 ≅ m∠6 because they are corresponding angles

m∠6 ≅ m∠7 because they are vertical angles

∴ m∠2 ≅ m∠7 by substitution

4x+7 = 5x-13

7 = x-13

20 = x

The value of x is 20.

Vertical angles are angles opposite each other where two lines cross.

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles.

According to the given question.

We have

m ∠2 = 4x + 7

and m ∠7 = 5x - 13

From the given figure we can say that

m ∠7 = m ∠6...(i)  (because they are vertically opposite angles)

and m ∠6 = m ∠2...(ii)   ( corresponding angles)

From (i) and (ii)

m ∠7 = m ∠2

⇒ [tex]5x - 13 = 4x + 7[/tex]

⇒ [tex]5x - 4x = 7 +1 3[/tex]

⇒ [tex]x = 20[/tex]

Hence, the value of x is 20.

Find out more information about vertically opposite angles and corresponding angle here:

https://brainly.com/question/18296786

#SPJ3

Does order matter when performing a composition of two transformations of the same type? Explain.

a movie rental service charges a $15 fee plus $1.50 per rental. suppose you have $40 to spend. how many movies can you rent

2. Graph each inequality on a number line:

5x + 15 < 0

someone help pleaseee

Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation


They will be at the same altitude in _ minutes, when their altitude will be _ feet.

Suppose TD=SG and what additional information is needed to prove the two triangles congruent SAS
a)


PLEASE HELP

There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?

NO LINKS!!!

Help please ;-;

And please answer all 1, 2, 3, 4 questions!
Choose the inequality that describes the following


____ 1. The set of numbers {‐3, ‐2, ‐1, 0, 1, ...}

A. x > ‐4

B. x < ‐4

C. x ≥ ‐4

D. x ≤ ‐4


____ 2. The set of numbers {9, 8, 7, …}

A. x > 9

B. x < 9

C. x ≥ 9

D. x ≤ 9


____ 3. The set of numbers {0, -2, -4, -6, -8, ...}

A. x > 0

B. x < 0

C. x ≥ 0

D. x ≤ 0


____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}

A. x > ‐6

B. x < ‐6

C. x ≥ ‐6

D. x ≤ ‐6

The table shows the thickness of four items. Place the items in order from the greatest thickness to the least thickness.

Find the value of x. (3 points each)

(2x + 1)
(x - 43)
A) 81
C) 80
B) 74
D) 86

PLEASE HELP QUESTION IN PICTURE

what is 18 1/5 -7 3/5 as a mixed number in simplest form

If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?

The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.

The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.2 hours. Assuming the distribution of study
imes is normal, what percent of students spend more than 25 hours per week on homework?
Round
your answer to the nearest hundredth.

HELP PLEASE!!

1. Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?

anybody help please hm​

The lines represented by the equations y=-2x-6 and 2y+x=-16 are

Evaluate. −5 1/4 +2(4.6+3/8) Enter your answer as a decimal or a mixed number in simplest form.

Which graph best represents the solution set of y 3 x − 4?

Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the speed that each bicyclist rode in
miles per hour if they are 8V2 miles apart after riding
for 2 hours at the same speed

how do you expand 5(2x - 1)?

Need help ASAP! Directions and problem in picture;)

What is the value of ?

please help me with this problem

f(x) = -3x – 1
g(x) = x2 + 6x – 12
Find: g(f(x))

Write 3.005 as a fraction in the simplest form​

plz help me find this answer for number 9 and number 10 offering 20 points for a answer !!

Please help it depends on my grade i have a 50 i need to pass this test.do the ordered pairs represent y as a function of x?

(9, 0), (8, 0), (-8, 3), (-3, -3), (-4, 2)
A. No, because there is more than one y-value for the same x-value.
B. Yes, because for every x-value there is only one y-value.
C. No, because there is more than one x-value for the same y-value.
D. Yes, because for every y-value there is only one x-value.

2. Solve for x.
28
2x + 8
82
5x - 4

What is the value of x in the figure?
Enter your answer in the box.
X=
Look