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:

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Related Questions

What are ratio tables? Can you create 3 different ways to create a ratio table using your own exampl e? pls ik im asking alot of theese i dont wanna fail

Answers

Answer:

A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.

Step-by-step explanation:

i have linked 1 picture of a ratio table example

hope this helped

Kelly has a scarf that is 22 inches long. She folds the scarf in half
three times. How long is the scarf now?

Answers

Answer:

2.75 inches or 2 3/4 inches

Step-by-step explanation:

22 / 2 = 11

11 / 2 = 5.5

5.5 / 2 = 2.75

Which set of ordered pairs has a range of {0, 1,4}?
А
(0, 0), (0, 1), (4, 1)
B
(0, 2), (1, 2), (4, 2)
с
(0, 0), (0, 1), (0, 2), (0, 4)
D
(-1,0), (0, 1), (2, 1), (3, 4)

Answers


Answer: А
(0, 0), (0, 1), (4, 1)

Answer:

D

Step-by-step explanation:

As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}

What another number is divider to pi 3.14

Answers

The another number is divider to pi 22/7

The another number is divider to pi 22/7

The perimeter of a triangle is 56. The side lengths are x + 4, 3x + 7, and x + 9. What is the value of x?

Answers

Answer:x = 7.2Step-by-step explanation:Perimeter: Side 1 + Side 2 + Side 3=> x + 4 + 3x + 7 + x + 9 = 56=> 5x + 20 = 56=> 5x = 56 - 20=> 5x = 36=> x = 7.2Conclusion:

Therefore, the value of x is 7.2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Which decimals round to 2.5 when rounding to the nearest tenth​

Answers

Answer:

2.45, 2.46, 2.47, 2.48, 2.49, 2.52, 2.52, 2.53 and 2.54 all round to 2.5 when being rounded to the nearest tenth.

Tenth = 0.1.

Hope that helps. x

2.45, 2.46, 2.47, 2.48, 2.49, 2.52, 2.52,
2.53 and 2.54 all round to 2.5 when being
rounded to the nearest tenth.
Tenth = 0.1.
. x

Hi. Can someone pls help

Answers

(2,10) this is because 7 x 2 is 14, minus 4 that’s 10

Answer:

(2, 10)

Step-by-step explanation:

If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.

[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]

Hope this helps.

Rewrite 1/6 book over 2/3 hour as a unit rate

HELPPP please make it quickk D:

Answers

Answer:

0.25 book/hour

Step-by-step explanation:

(1/6)/(2/3)=x/1

*Simplify the equation

1/4=x

*Rearrange the equation

x=1/4

x=0.25 book/hour

Please help, we're supposed to be writing an equation from the table here. But I don't know.​

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.

The best clue is provide by (0,-3).

So let's start with a general linear equation.

y = mx + b

If you put in 0 for x then mx disappears and you are are left with y = - 3

That means that b = - 3

So now you have

y = mx - 3  

Now try another one

y = mx - 3

y = 9

x = 4

9 = mx - 3

9 = 4m - 3            Add 3 to both sides

9+3 = 4m-3+3      Combine

12 = 4m                Divide by 4

12/4 = 4m/4        

3 = m

So the equation you want so far, is y = 3x - 3               Does it work for anything else?

Try - 3 , - 12 . If it works for this, it should work for anything.

y = 3*-3 - 3

y = -9 -3

y = - 12

and it does work, so that's your answer.

Write these numbers from least to greatest 0.152 0.152 0.132 0.140 01212 0.1412 0.150 0.148

Answers

Step-by-step explanation:

0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k​

Answers

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

1/9 (2m - 16) = 1/3 (2m + 4)

Please follow the steps in the picture!

Answers

Answer:

1/9 (2m - 16) = 1/3 (2m + 4)

expand

2/9m- 16/9 =2/3m +4/3

move m to other side

- 16/9 =2/3m (-2/9m) +4/3

simplify

- 16/9 =(6-2)/9m +4/3

- 16/9 =4/9m +4/3

move 4/3 to other side

- 16/9 -4/3 =4/9m

- 16/9 -12/9 =4/9m

-28/9 = 4/9m

multiply by 9

4m= -28

m= -7

f(x)=2x-3 for f(x)=9

Answers

Answer:

15

Step-by-step explanation:

f(x)=2x-3, for f(x)=9

2(9)-3

18-3=

15

Helpppppppppppppppppppppppppp

Answers

Answer:

The first one.

After the first four games of a professional football season, three players scored a total of 80 touchdowns.

Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.

How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns

Answers

Answer:

b

Step-by-step explanation:

Andre Roberts scored a total of 34 touchdowns

An equation is an expression that shows the relationship between two or more variables and numbers.

The total touchdowns is 80.

Duke Johnson scored 14 of the touchdowns.

Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32

Let x represent the number of touchdowns scored by Andre Roberts, hence:

x + 14 + 32 = 80

x + 46 = 80

x = 34

Andre Roberts scored a total of 34 touchdowns

Find more about equation at: https://brainly.com/question/2972832

HELP ME PLEASEEE!!





48 degrees 96 degrees x =

Answers

Answer:

144°

96+48(further away angles)

Answer:

x = 144°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 48° + 96° = 144°

Which inequality is graphed on the number line?

Answers

The answer is C
First you add 11 on both sides
So your left with
3a<= 18
Then divide by 3 on both sides to get
a<=6 which is plotted on the graph

A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?

Answers

Answer:

8.8

Step-by-step explanation:

First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.

Hope This Helps:)

Answer: 8.8

Step-by-step explanation:

Please Help Question In Picture

Answers

Answer:

A

Step-by-step explanation:

Since Angle XYZ is equal to Angle YZX,

XY=XZ

The two triangles are congruent.So,

VW=YZ

XY=UV

XZ=UW

Thus;

XY=UV

XZ=UW

XZ=XY=UV=UW

So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm

Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&3x-1&=7 \\\\ B.&&3x&=8 \end{aligned}
A.
B.




3x−1
3x


=7
=8

Answers

Answer:

I don,t knowe wallh

Step-by-step explanation:

Four runners formed a relay team at
Jan’s high school. The team completed
the relay in 3.86 minutes. Each runner
ran exactly the same time. What was
each runner’s time?

Answers

0.965
3.86/4 = 0.965

6) The original price of a pair of shorts is $40.
They are on sale 30% off. What is the selling
price of the shorts?

Answers

Answer:

$28

Step-by-step explanation:

30% = 30/100 = 0.3

40 x 0.3 = 12

40 - 12 = $28

A certain stock sold for $24.89 per share on Thursday. On Friday it sold for $21.36. Find the decrease in the price of the stock from Thursday to Friday.

Answers

It would have 10$ left to fill

if the interest rate is lower than the inflation rate, what happens for those who put money in a savings account.

Answers

Answer: Savers Lose

Step-by-step explanation: I had this question

K2. Calculate the total surface area of cuboids with the following dimensions (b) Length = 1.6 m, breadth = 80 cm, height = 120 cm​

Answers

Answer:

15360m3

Step-by-step explanation:

a=l*w*h

1.6m*80m*120m

=15360m3

(3x – 1) : (x - 2) = x – 2x (x—4)
срочно, сор.

Answers

[tex]\frac{3x-1}{x-2}=x-2x(x-4) <=>\frac{3x-1}{x-2}=x-2x^{2} +8x \\<=>\frac{3x-1}{x-2}=-2x^{2} +9x<=>3x-1= (-2x^{2} +9x)(x-2)\\<=>3x-1= -2x^3+4x^{2} +9x^{2} -18x\\<=>3x-1=-2x^3+13x^{2} -18x\\<=>2x^3 -13x^{2} +18x+3x -1=0\\<=>2x^3 -13x^{2}+21x-1=0\\<=> x =0.05 /or/x=3.7[/tex]

ok done. Thank to me :>

Graph x + 3y = 6.

please help​

Answers

this is the photo of a answer

Answer:

  see attached

Step-by-step explanation:

Both coefficients are divisors of the constant, so the intercepts are integer values. This makes it easy to graph the line using the x- and y-intercepts.

x-intercept

Set y=0 and you get ...

  x = 6

y-intercept

Set x=0 and you have ...

  3y = 6

  y = 2 . . . . divide by 3

__

The intercepts (6, 0) and (0, 2) are points on the line. Plot these points and draw the line through them.

Fifty people are standing in line for a ride. Every three minutes, 20 people get on the ride, but 35 more people get in line. After one hour, how many people are in line?

Answers

Answer:

because of the gravity of the earth

Answer:

5x+50

Step-by-step explanation:

solve for x
2x +2 <14

Answers

2x + 2 < 14

2x < 12

x < 6

Hope this helps!
Brainliest is much appreciated!

What is the equation of the line that passes through the point (-1, -7) and has a
slope of 2?

Answers

Answer:

y = 2x - 5

Explanation:

Since the slope is given as 2, we can substitute this into the equation:

y = 2x+b

Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).

Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).

Adding this to our point of (-1,-7), we get:

((-1+1),(-7+2)) = (0, -5)

Therefore -5 is our y-intercept.

Now, substituting -5 into our equation, we get:

y = 2x + -5

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation [tex]b=y_1-m*x_1[/tex]. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.

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