Step-by-step explanation:
Here is the solution hope it helps:)
AE is 35 units in length.
One of the two shapes that DE splits the trapezoid into is a triangle. Since the two sections of the trapezoid have an equal area, this means that the area of the triangle is 1/2 of the area of the trapezoid. Using the formulas for the area of a triangle and the area of a trapezoid we get:
1/2bh = 1/2(1/2(B+b)(h))
The base of the triangle, AE, is unknown. We do know that AE + EB = 50; let x be EB. That means that AE = 50-x.
B, the "big base" of the trapezoid, is 50. b in the trapezoid, the little base, is 20. Using all of this we now have:
1/2(50-x)h = 1/2(1/2(50+20)(h))
1/2(50-x)h = 1/2(1/2(70)h)
1/2(50-x)h=1/2(35)h
Since we have multiplied by 1/2 and h on both sides, we can divide by both of them at the same time to cancel. This will give us:
(50-x)=35
Subtract 50 from both sides:
50-x=50 = 35-50
-x = -15
x = 15
This means that EB is 15; thus AE = 50-15 =35.
Answer:
The 8th term of the following sequence is 9375.
Step-by-step explanation:
Given the sequence
3/25, 3/5, 3, 15
As we know that a geometric sequence has a constant ratio and is defined by:
so
As the ratio 'r' is the same.
so
As the first element of the sequence is
Therefore, the nth term is computed by
Putting n = 8 to determine the 8th term.
Therefore, the 8th term of the following sequence is 9375.
Answer:
The two angles are 10 degrees and 170 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
Let the angle be called "x", and the supplementary angle be called "180-x"
Converting words to math: x-160=180-x
Add x to both sides: 2x-160=180
Simplify: 2x=20
Divide by 2: x=10
Let me know if this helps!
Answer:
8/9 mi
Step-by-step explanation:
Area( rectangle) = length*width
2/3 mi² = 3/4 mi *width
(4/3)*(2/3) mi² = (4/3)*(3/4) mi *width
8/9 mi = width
