Answer:
AC = 14 sqrt(2) = 19.80
Step-by-step explanation:
Below is the diagram showing you how this has been set up. The figure is a trapezoid which means BC and AD are parallel. AC is a transversal of the parallel lines.
Givens
- <ABC = <ACD
- ABCD is a trapezoid
- BC = 14
- AD = 28
- AC is a transversal of BC and AD
Solution
- <ABC = <ACD Given
- <DAC = <ACB Alternate interior angles.
- ΔACB ≅ΔDAC AA
- <BAC = <ADC Angles of similar triangles are equal
- AC /28 = 14/AC Form a proportion from corresponding sides
- AC*AC = 14 * 28 Cross multiply the proportion. Combine
- AC^2 = 392 Express as prime factors.
- AC^2 = 7*7*2*2*2 Take the square root of both sides
- sqrt(AC)^2 = sqrt(7*7*2*2*2)
- AC = 7*2 * sqrt(2)
- AC = 14 sqrt(2) = 19.80
Volume=l*w*h
V=9*5*8
V=360ft cubed
B it is equal to 1.1000 it doesn't mater how many decimals zeros are after the decimal point their can be 1.1000000000000 and it would still be B. if it was before the decimal point then we would have a different story.
Answer (B)
Correct. 357 × 20 = 7,140 (Just make sure the 20 × 7 column is 140, not 14).
Checking this:
7,140 ÷ 20 = 357
Hope this helps!
