Answer:
The length of the diagonal AC=20 cm.
Step-by-step explanation:
From ΔOBP and ΔABC, we have
( O and P are mid points)
∠B=∠B(Common)
Therefore, by SAS rule,
ΔOBP is similar toΔABC
Thus, 
⇒
⇒
⇒
⇒
Thus, the length of the diagonal AC=20 cm.
Let t be time and r be rate, then if time varies inversely with the rate, the equation is

. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.

. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:

and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
The to this question is 10x and 70y
Answer:
90, 91 and 92
Step-by-step explanation:
Given
Consecutive integers = 273
Required
Find the integers
The question seem to be incomplete. However, I'll assume we're dealing with sum.
Let the smallest integer be y.
So,
y + y + 1 + y + 2 = 273
Collect like terms.
y + y + y = 273 - 2 - 1
3y = 270
Divide both sides by 3
y = 90
Hence, the integers are 90, 91 and 92