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lyudmila [28]
3 years ago
15

If m PQS=16, M SQR=(9x+17),and m PQR=(12x-6) find m PQR Please answer with work

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

\angle PQR=30^{\circ}

Step-by-step explanation:

It is given that,

\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}

We need to find the measure of \angle PQR.

From the given figure, \angle PQR=\angle  PQS+\angle SQR

Putting all the values, we get :

12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13

\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}

So, the measure of \angle PQR is 30 degrees.

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3 years ago
Seven more than the product of a number and 5 equals 2 . Use the variable c for the unknown number.
svetoff [14.1K]

Answer:

Equation: 5c + 7 = 2

Solution: The number is -1.

Step-by-step explanation:

The unknown number is c.

"the product of a number and 5" is 5c

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"Seven more than the product of a number and 5 equals 2" is 5c + 7 = 2

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5c + 7 = 2

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4 years ago
angle a and b are both supplementary to angle c if the measure of angle a is 12 less than 2 times the measure of c find the meas
castortr0y [4]

Answer:

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Step-by-step explanation:

Here, we have value of angles to calculate.

If a and b are both supplementary to c, what this means is that when we add either a or b to c, we get 180

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a + c = 180 and b + c = 180

What we have here is that a and b must be equal since they are both supplementary to the same angle value

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Thus; a = 2c - 12 = 2(64) -12 = 128 -12 = 116

3 0
3 years ago
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