To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.

Sorry this took forever. The website is hard to use because I'm used to using the app:)

Best of wishes!

6 0

3 years ago

Mr. Cruz bought 9 3/5 kg of meat. He used 2 3/5 kg for adobo, 4 3/5 kg for menudo and the rest for afritada. How many kilograms

Ray Of Light [21]

Answer:

3 3/5

Step-by-step explanation:

5 0

2 years ago

Thee questionn is beloww

Phantasy [73]

Given:

$m\angle ABC=60$

To find:

The $m\angle ADC$ .

Solution:

In circle B, $\angle ABC$ is central angle and $\angle ADC$ is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

$m\angle ABC=2(m\angle ADC)$ [Central angle theorem]

$60=2(m\angle ADC)$

Divide both sides by 2.

$\dfrac{60}{2}=m\angle ADC$

$30=m\angle ADC$

Therefore, $m\angle ADC=30$ .

6 0

2 years ago

A proportional relationship betweeof potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the

CaHeK987 [17]

4/3 = 1/x.....4 lbs potatoes to $3 = 1 lb of potatoes to $x
cross multiply
(4)(x) = (3)(1)
4x = 3
x = 3/4
x = 0.75....so 1 lb of potatoes cost 75 cents

(8,6)...this means 8 lbs of potatoes cost $6

7 0

3 years ago