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algol13
3 years ago
15

Consider parallelogram ABCD. If AC¯¯¯¯¯¯¯¯=2x+15 and BD¯¯¯¯¯¯¯¯=5x−12, what does the value of x need to be so that the parallelo

gram is a rectangle?
A: 1
B: -9
C: 9
D: 3/7
Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

9

Step-by-step explanation:

I took the quick check

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Answer:

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Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

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From the question; we have that

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Required

Find x and y

Multiply both sides of equation 2 by 14

14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5

2 * 4x = 7 * y + 70

8x = 7y + 70 ---- Equation 3

Substitute y + 1 for x in equation 2

8(y + 1) = 7y + 70

Open bracket

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Collect like terms

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x = y + 1

So,

x = 62 + 1

x = 63

Hence, the consecutive numbers are 62 and 63

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