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fgiga [73]
3 years ago
15

What is the value of X

Mathematics
2 answers:
poizon [28]3 years ago
5 0

<u>Answer:</u>

The value of x is 12 cm.

<u>Step-by-step explanation:</u>

From the given figure, we know that the two corresponding lines are parallel and so the two given triangles are congruent to each other.

Therefore, the corresponding sides of these triangles will also be proportional so we can write it as:

\frac{4}{4+16} =\frac{3}{3+x}

\frac{4}{20} =\frac{3}{3+x}

By cross multiplication:

12+4x=60

4x=60-12

4x=48

x=\frac{48}{4}

x=12

Therefore, the value of x is 12 cm.

alexdok [17]3 years ago
4 0

Answer:

x=12

Step-by-step explanation:

We have been given a graph of similar triangles. We are asked to find the value of x.

Since we know that corresponding sides of similar triangles are always in same proportion, so we will use proportions to find the length of x.

\frac{3}{x+3}=\frac{4}{16+4}

\frac{3}{x+3}=\frac{4}{20}

Upon cross multiplying our equation we will get,

4*(x+3)=3(20)

Upon distributing 4 we will get,

4x+12=60

Let us subtract 12 from both sides of our equation.

4x+12-12=60-12

4x=48  

Upon dividing both sides of our equation by 4 we will get,

\frac{4x}{4}=\frac{48}{4}  

x=12  

Therefore, the value of x will be 12.

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Number 8 and 9 pls, if u answer u get brainlist rank!
mylen [45]

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is  y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is  y = x + 12

Hope this helps!

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8 0
3 years ago
Tom wants to put up Christmas lights around his house.
Alex_Xolod [135]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Which of these story problem describes the sum 19 + (-12)? Check all that apply. Show your work to justify your answer.
MatroZZZ [7]
-19 + (-12) = 7

Remove Parentheses  
( -a ) = -a 

= 19 - 12
Subtract The Numbers 
19-12 = 7
8 0
3 years ago
The interior angle of a regular polygon is five times its corresponding exterior angle. Find the
tiny-mole [99]

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the  number of sides of the polygon is 12

6 0
3 years ago
What is 5x divided by 6 = 20
Scilla [17]

Answer:24

Step-by-step explanation:

8 0
3 years ago
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