Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b = length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b)
= 2 × 600 in²/(24 in + 36 in)
= 1200 in²/60 in
= 20 in
So, the height of the cape is 20 inches
Step-by-step explanation:

First, let's find out the number of minutes Emily has to get to school. From 8:25 to 8:50, there are 25 minutes.
Next, let's find out the number of minutes before Emily looks at her watch. From 8:25 to 8:28.50, there are 3.5 minutes.
Now let's calculate Emily's speed in miles per minute. To do so, divide the distance traveled by the time it took:

miles/minute
Now let's calculate how far Emily can travel in 25 minutes going this speed. To do so, we multiply her speed by the time traveled:

miles
5.357 miles is greater than 3.42 miles, so yes, Emily will make it to school on time.
Problem 4
a)
MR = AG is a true statement because MARG is an isosceles trapezoid. The diagonals of any isosceles trapezoid are always the same length.
-------------------------
b)
MA = GR is false. Parallel sides in a trapezoid are never congruent (otherwise you'll have a parallelogram).
-------------------------
c)
MR and AG do NOT bisect each other. The diagonals bisect each other only if you had a parallelogram.
=================================================
Problem 5
a)
LC = AJ (nonparallel sides of isosceles trapezoid are always the same length)
x^2 = 25
x = sqrt(25)
<h3>x = 5</h3>
-------------------------
b)
LU = 25
UC = 25 because point U cuts LC in half
LC = LU+UC = 25+25 = 50
AJ = LC = 50 (nonparallel sides of isosceles trapezoid are always the same length)
AS = (1/2)*AJ
AS = (1/2)*50
<h3>AS = 25</h3>
-------------------------
c)
angle LCA = 71
angle CAJ = 71 (base angles of isosceles trapezoid are always congruent)
(angleAJL)+(angleCAJ) = 180
(angleAJL)+(71) = 180
angle AJL = 180-71
<h3>angle AJL = 109 </h3>
Answer:
81
Step-by-step explanation:
1,3,9,81