7. In DPQR, PQ = QR = PR . If m R=(5x + 31)°, what is the value of x ?

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04-05-2024
Mathematics

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7. In DPQR, PQ = QR = PR . If m R=(5x + 31)°, what is the value of x ?

Answer :

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Qwglue Qwglue · Answer 1 · 2024-05-04T07:22:49-04:00

Explanation:

In triangle DPQR, since PQ = QR = PR, it is an equilateral triangle, which implies that all angles are equal. If the measure of angle R (m R) is given by the expression (5x + 31)° and each angle in an equilateral triangle is 60°, we can set up the equation 5x + 31 = 60 to find the value of x.

To solve for x, follow these steps:

Subtract 31 from both sides of the equation: 5x + 31 - 31 = 60 - 31.
Simplify the equation: 5x = 29.
Divide both sides by 5 to isolate x: x = 29/5.
Therefore, x = 5.8.

7. In DPQR, PQ = QR = PR . If m R=(5x + 31)°, what is the value of x ? ​

Answer :

Other Questions

7. In DPQR, PQ = QR = PR . If m R=(5x + 31)°, what is the value of x ?