What is the area of the parallelogram? (Figure may not be to scale). I will mark brainliest and pls explain.

Step-by-step explanation:

Draw a vertical line through the upper left hand vertex of this parallelogram.  This line represents both the "opposite side of the 45 degree angle" and the "height of the parallelogram."  It also forms a right isosceles triangle.  Using the sine function we can find the "height of the parallelogram."

sin 45 degrees = height/[18√2].

Multiplying both sides by this, we get

height = 18√2·sin 45 degrees = 18/2 units, or 9 units

Then the area of the parallelogram is (9 units)(20 units) = 180 units²

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

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