If ∠P, ∠Q, and ∠R are given, as well as the value of p, then explain whether the Law of Sines or the Law of Cosines should be used to solve for q.

Law of sines can be used to find the value of q.

Step-by-step explanation:

∠P, ∠Q and ∠R is given.

p is also given, we need to find the value of q.

To use law of cosines, we must have at least 2 values, that is p and r but here we have only p value, so we can use the law of sines which was given as,

sin P/p = sin Q/ q = sin R / r

So using the first 2 ratios, we can find q as,

sin P/p = sin Q/ q

Rewriting the equation for q as,

q = p × sin Q / sin P

we will get the value of q.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: