Answer:
x =12
Step-by-step explanation:
The two angles are complementary, so the add to 90 degrees
5x+1/2x +24 = 90
Combine like terms
5 1/2 x +24 = 90
Subtract 24 from each side
5 1/2 x = 90-24
Change the mixed number to an improper fraction
11/2 x = 66
Multiply by the reciprocal 2/11 on each side
2/11 *11/2 x = 66*2/11
x = 6*2
x =12
Answers:
- x = 4
- AB = 36
- BC = 36
- AC = 36
All three sides are 36 units long.
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Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
- AB = 8x+4 = 8*4+4 = 32+4 = 36
- BC = 11x-8 = 11*4-8 = 44-8 = 36
- AC = 9x = 9*4 = 36
We get the same value for the three side lengths, so this confirms we have the correct x value.
Answer:
48 laps
Step-by-step explanation:
multiply 6 by 8 then that's your answer
I split it into parts. The small rectangle sticking out is 2x3 which is a 6 and the big rectangle 4x8 which is 32. The triangle is 8x2/2 which is 8. 6+32+8 = 46