Answer:
4√41
Step-by-step explanation:
From the Euclidean theorem y^2 = 16 × 41 ➡ y^2 = 656 and y = 4√41
About 102.5625... I think
The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:
<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2
We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so
864 = (<em>b</em>₁ + 30) 24 / 2
864 = (<em>b</em>₁ + 30) 12
864 = (<em>b</em>₁ + 30) 12
72 = <em>b</em>₁ + 30
<em>b</em>₁ = 42
Answer:
22.5° and 67.5°
Step-by-step explanation:
The sum of complementary angles equal 90°.
Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.
Thus, the following expression can be written to represent this case:

Solve for x

Divide both sides by 4


The measure of the complementary angles are:
x = 22.5°
3x = 3(22.5) = 67.5°