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nadya68 [22]
3 years ago
13

The value of AD is: A. 27 B. 28 C. 26

Mathematics
1 answer:
kumpel [21]3 years ago
7 0

Answer:

27

Step-by-step explanation:

Angles ABD and DBC are congruent (they are marked as such in the diagram).  That means that the sides across from these angles are also congruent:  AD = CD.  Therefore, we set them equal to each other:

3x = 2x + 9 and

x = 9.

That means that 3x --> 3(9) = 27

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6x - 2y = 0

+ + +

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C. Now that we have the equation 11x = 22, we solve for x

11x = 22 ← Divide both sides by 11

x = 2 ← The answer


D. Now that we have x=2, we plug that back in to 5x+2y=22 and solve for y:

5(2)+2y = 22

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<u>Therefore, the solution to this problem is x = 2 and y = 6</u>


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