If a ║ b then m<3 + m<6 = 180 (same-sided interior angles)
so
2x + 15 + 3x + 10 = 180
5x + 25 = 180
5x = 155
x = 31
Answer
x = 31 makes a ║ b
Answer:
P = 10 +2x . . . . . (units are inches)
Step-by-step explanation:
It is appropriate to use the formula for the perimeter of a rectangle, filling in the given values.
P = 2(L + W) . . . . . the perimeter is twice the sum of length and width
P = 2(5 + x) . . . . . .filled in with the givens
P = 10 + 2x . . . . . simplify
It will take the cheetah 4 seconds to run 80 yards.
Step-by-step explanation:
Given,
Distance covered by Cheetah in 5/2 seconds = 50 yards
Ratio of distance to time = ![50:\frac{5}{2}](https://tex.z-dn.net/?f=50%3A%5Cfrac%7B5%7D%7B2%7D)
Let,
x be the time required to cover 80 yards.
Ratio of distance to time = 80 : x
Using proportion;
Ratio of distance to time :: Ratio of distance to time
![50:\frac{5}{2}::80:x](https://tex.z-dn.net/?f=50%3A%5Cfrac%7B5%7D%7B2%7D%3A%3A80%3Ax)
Product of extreme = Product of mean
![50*x=\frac{5}{2}*80\\50x=\frac{400}{2}\\50x=200](https://tex.z-dn.net/?f=50%2Ax%3D%5Cfrac%7B5%7D%7B2%7D%2A80%5C%5C50x%3D%5Cfrac%7B400%7D%7B2%7D%5C%5C50x%3D200)
Dividing both sides by 50
![\frac{50x}{50}=\frac{200}{50}\\x=4](https://tex.z-dn.net/?f=%5Cfrac%7B50x%7D%7B50%7D%3D%5Cfrac%7B200%7D%7B50%7D%5C%5Cx%3D4)
It will take the cheetah 4 seconds to run 80 yards.
Keywords: ratio, division
Learn more about division at:
#LearnwithBrainly
Answer:
A. the Commutative Property
Step-by-step explanation:
D doesn't exist
C is wrong and so is B.
Answer:
14n+88
Step-by-step explanation: