In ΔOPQ, the measure of ∠Q=90°, PO = 17, QP = 8, and OQ = 15. What ratio represents the tangent of ∠P?

1.875

Step-by-step explanation:

Step 1 :

Given,

In ΔOPQ,

∠Q=90°,

PO = 17,  QP = 8 OQ = 15

Step 2:

We know that the hypotenuse will be the largest side of a triangle.

So in the given triangle PO = 17 is the hypotenuse.

With respect to angle P, OQ represents the opposite side of angle P  and PQ will be the adjacent side.

Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.

Step 3 :

So using the above we have,

tangent of angle P = opposite side /adjacent side = 15/8 = 1.875

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9