Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒ 
⇒ 
⇒ 
hence, the length of diagonal is 18 m
Answer:
mean: 65
median: 9
Step-by-step explanation:
You take all the numbers you have and add them up. Make it simple by adding smaller numbers together. Then once you have the total which is 65 you divide it by the total of numbers you have and then round because after dividing you get 8.125 and the safest way to round is to 9.
Answer:
m∠E = 38.7°
Step-by-step explanation:
If you make a drawing it will help. What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.
The cosine of a angle = adjacent side/hypotenuse.
Therefore cos E = 32/41
arccos (32/41) = 38.7°
Answer:
In example when talking about some supply, half of it was sold or three fifths of what was there is gone. Fractions are a natural way of talking about sub unit quantities or just rationing supplies.
