Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.
HJ = (KL + NM)/2
2(HJ) = KL + nm
2(5x + 2) = 4x + 1 + 27
10x + 4 = 4x + 28
6x = 24
x = 4
KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17
Answer: KL = 17
Answer:
541.7 (m2)
Step-by-step explanation:
Applying the sine theorem:
WV/sin(X) = XV/sin(W)
=> WV = XV*sin(X)/sin(W) = 37*sin(50)/sin(63) = 31.81
Angle V = 180 - X - W = 180 - 50 - 63 = 67
Denote WH is a height of the triangle VWX, H lies on XV
=> WH = WV*sin(V) = 31.81*sin(67) = 29.28
=> Area of triangle VWX is calculated by:
S = side*height/2 = XV*WH/2 = 37*29.28/2 = 541.7 (m2)
Answer:

Step-by-step explanation:
CD is perpendicular to AB
If any radius or diameter is perpendicular to any chord of a circle, then it bisects that chord.
Mean, AB= BE = 12
So, AB = 2(BE)
2(12)= 24
so your answer will be 24

hope it helps..
have a great day!!
Answer:
A) 4x+8
B) 8x-16
C) 8x+12
D) 6x+6y+6z
Step-by-step explanation:
multiple the number outside of the parentheses by each number or letter inside the parentheses
Answer:

Step-by-step explanation:
√a^4 is the same as:
√a × √a × √a × √a
group them as 2 pairs of
(√a × √a) × (√a × √a)
which makes
a × a
which is the same as 