If m∠2=4x+7 and m∠7=5x-13, find x.

If M2=4x+7 And M7=5x-13, Find X.

Answers

Answer 1

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

Answer 2

The value of x is 20.

What are vertically opposite angles?

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

What are corresponding angles?

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


Related Questions

Find the value of x. (3 points each)

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

Answers

Answer:

x+43[tex]1\frac{x}{y} 2[/tex]

Step-by-step explanation:

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.

Answers

The accurate statements are:

b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.  e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

The given parameters are:

[tex]n = 12[/tex] --- number of parts

[tex]r = 10[/tex] --- the radius

(a) The central angle

Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.

So, the measure of the two sections is:

[tex]\theta = 30^o \times 2[/tex]

[tex]\theta = 60^o[/tex]

Hence, (a) is false

(b) The circumference

This is calculated using:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 \times 3.14\times 10[/tex]

[tex]C = 62.8[/tex]

Hence, (b) is true

(c) The measure of the minor arc

Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.

So, the measure of the four sections is:

[tex]\theta = 30^o \times 4[/tex]

[tex]\theta = 120^o[/tex]

Hence, (c) is true

(d) The length of the major arc

Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.

So, the measure of the seven sections is:

[tex]\theta = 30^o \times 7[/tex]

[tex]\theta = 210^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{13188}{360}[/tex]

[tex]L = 36.3[/tex]

Hence, (d) is false

(e) The length of the minor arc

There is only one section between points 6 and 7

So, the measure of the section is:

[tex]\theta = 30^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{1884}{360}[/tex]

[tex]L = 5.2[/tex]

Hence, (e) is true

Read more about segments and arcs at:

https://brainly.com/question/14965059

Answer:

-B

-C

-E

Step-by-step explanation:

just took the test...

I got them right

2. Graph each inequality on a number line:

5x + 15 < 0

Answers

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]  

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]

2. Now that we know x < -3, let's graph it!

Since it's less than, we make the number line point to the left, and we make the circle open.

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

Answers

multiply 5 by each number in the parentheses

Hey there!

5(2x - 1)

DISTRIBUTE 5 WITHIN THE PARENTHESES

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer is: 10x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

please help me with this problem

Answers

Answer:

v=32

Step-by-step explanation:

23-15=8x4=32

32/4+15=23

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?

Answers

Answer:

28%

Step-by-step explanation:

(3red+4red)/25candy = 7/25 = 28/100 = 28%

PLEASE HELP QUESTION IN PICTURE

Answers

I think it’s B 132 because it’s an obtuse angle and those measure more than 90 degrees
It’s definitely B because ABC is a obtuse angle and B is the number above 90

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


PLEASE HELP

Answers

Answer:c

Step-by-step explanation:

Answer:

If TD = SG and MD = SL, then angle D would have to equal angle S in order to prove the triangles congruent by SAS.

Step-by-step explanation: C

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.

Answers

Answer:

a

Step-by-step explanation:

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

Answers

Answer:

Step-by-step explanation: i dont know but i still can help i think its answer The graph that best represent the solution set of y > 3x - 4 is D. The inequality is as follows: y > 3x - 4. lets find y when x = 0.

someone help pleaseee

Answers

Answer:

(x+1)x(x+7)x(3x-4)

Step-by-step explanation:

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

Answers

The order does not matter. Algebraically we have y=12f(x3). Of our four transformations, (1) and (3) are in the x direction while (2) and (4) are in the y direction. The order matters whenever we combine a stretch and a translation in the same direction.

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

Answers

the answer is 4.7! (p.s cymath is a great website to use for stuff like this:)

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

Answers

Answer:

68

Step-by-step explanation:

both angles added should equal to 90

x = 90-22

x = 68

CHECK

68+ 22

90

.˙. x is equal to 68

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

Answers

Answer: x = 10 x = 17.2

Solution of Problem 1:

2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10

Solution of Problem 2:

82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2

Therefore:

Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2

Hoped this helped.

[tex]BrainiacUser1357[/tex]

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

Answers

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

Additional comment

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

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

Answers

Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

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

Answers

Answer:

7

Step-by-step explanation:

Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:

[tex]3x^2+7y^3+2x+9y-5y^2[/tex]

The first term is: [tex]3x^2[/tex]

The second term is: [tex]7y^3[/tex]

The third term is: [tex]2x[/tex]

The fourth term is: [tex]9y[/tex]

The fifth term is: [tex]-5y^2[/tex]

Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:

The first coefficient is: 3

The second coefficient is: 7

The third coefficient is: 2

The fourth coefficient is: 9

The fifth coefficient is: -5

anybody help please hm​

Answers

The answer should be C

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?

Answers

Answer:

68 got it right on the test!!!

Step-by-step explanation:

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?

Answers

approximately 43836 (rounded) people visit per day

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

Answers

Can you show the items?

Write 3.005 as a fraction in the simplest form​

Answers

Answer: 601

              200

Step-by-step explanation: when you reduce 3.005 it is 601/200 and it is in its simpilist form

Answer:

3\frac{1}{200}

Step-by-step explanation:

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.

Answers

Answer:

21.1%

Step-by-step explanation:

(25 - 24.3) / 1.2 = 0.5833 z score = 78.9%

You need the percent that spend more than 25 hrs per week, so 100 - 78.9 = 21.1%

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

Answers

Answer:

53/5

Step-by-step explanation:

I hope this helps u.

Mark me as brainliest.

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

Answers

Answer:

16

Step-by-step explanation:

y = mx+b, where y is cost x is # of movies, m is $ per rental and b is the flat charge.

y = 1.50x+15

40 = 1.50x+15

25 = 1.50x

16.666... = x

You can rent about 16 movies

Hope that helps

Answer:

40 = 1.50x+15

25=1.50x

x=16

16 movies

Step-by-step explanation:

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

Answers

1. A

2. D

3. D

4. C

(IF YOU NEED A EXPLANATION, JUST ASK!)

Need help ASAP! Directions and problem in picture;)

What is the value of ?

Answers

Answer:

105⁰

Step-by-step explanation:

Please refer to the attachment.

Hope it helps :)

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.

Answers

Answer:

6 seconds., 16800 feet

Step-by-step explanation:

The first plane is going y = -3200x + 36000

The second plane is going y = 2800x

Substitute the second equation for y into the first one:

2800x = -3200x + 36000

6000x = 36000 (Add 3200x to both sides)

x = 6 (Divide each side by 6000)

That means they will be the same altitude at 6 minutes.

To find how high, put your answer into one of the equations.

y = 2800 (6)

y = 16,800 feet


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

Answers

Find g(f(x)) f(x)=3x^2+6x-4 g(x)=-3x+4. f(x)=3x2+6x−4 f ( x ) = 3 x 2 + 6 x - 4 g(x)=−3x+4 g ( x ) = - 3 x + 4. Set up the composite result function.

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