What is the value of x? (Screenshot included)

98

Step-by-step explanation:

The sum of the angles of a triangle should always add up to 180 degrees.

In this problem, they have given us 2 angle measures of the triangle - 53 degrees and 45 degrees. To figure out the third angle, we simply need to figure out how many more degrees we need for reaching the 180 degrees.

I'm just going to do some simple math:

53 + 45 = 98 (sum of the 2 angles)

180 - 98 = 82 (subtracting 180 by the sum of the 2 angles)

However, we have only found the third angle in the triangle. The variable x is for the angle supplementary to the one we just found. Therefore, we must solve the angle measure of the supplementary angle x by doing 180 - 82 which equals 98.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c