Answer:
-3x + 8
Step-by-step explanation:
Simplify. combine like terms (terms with the same amount of variables).
Subtract -2x and x: -2x - x = -3x
-3x + 8 is your answer.
~
Answer:
it D
Step-by-step explanation:
Trust me
djrjnfnzenngfzm
If c^2 > a^2 + b^2 then the triangle is obtuse.
If c^2 < a^2 + b^2 then the triangle is acute.
If c^2 = a^2 + b^2 then the triangle is a right triangle.
13. 7^2 __ 3^2 + 6^2
49 ___ 9 + 36
49 > 47 obtuse
14. 12^2 __ 4^2 + 11^2
144 ___ 16 + 121
144 > 137 obtuse
15. 26^2 ___ 24^2 + 10^2
676 ___ 576 + 100
676 = 676 right triangle
16. 15^2 ___ 12^2 + 9^2
225 ___ 144 + 81
225 = 225 right triangle
17. 31^2 __ 30^2 + 10^2
961 ___ 900 + 100
961 < 1000 acute triangle
18. 12^2 ___ 7^2 + 7^2
144 ___ 49 + 49
144 ___ 98
144 > 98 obtuse
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.
