Answer/Step-by-step explanation:
Given:
m<EFH = (5x + 1)°
m<HFG = 62°
m<EFG = (18x + 11)°
Required:
1. Value of x
2. m<EFH
3. m<EFG
SOLUTION:
1. Value of x
m<EFH + m<HFG = m<EFG (angle addition postulate)
(5x + 1) + 62 = (18x + 11)
Solve for x using this equation
5x + 1 + 62 = 18x + 11
5x + 63 = 18x + 11
Subtract 18x from both sides
5x + 63 - 18x = 18x + 11 - 18x
-13x + 63 = 11
Subtract 63 from both sides
-13x + 63 - 63 = 11 - 63
-13x = -52
Divide both sides by -13
-13x/-13 = -52/-13
x = 4
2. m<EFH = 5x + 1
Plug in the value of x
m<EFH = 5(4) + 1 = 20 + 1 = 21°
3. m<EFG = 18x + 11
m<EFG = 18(4) + 11 = 72 + 11 = 83°
For a rectangular solid with length 14 14 cm, height 17 17 cm, and width 9 9 cm
Here is the answer below:
Answer:
26
Step-by-step explanation:
In a trapezoid, the length of a mid-segment is average of the two bases.
In this case, the bases are 12 and 40, the average of which is (40 + 12)/2 = 52/2 = 26
Answer:
137
Step-by-step explanation:
when x=4 , We substitute in the above equation
(7 x 4²)+(8x4)-7 = 112+25 =137