64 = 22 + .25m
Subtract 2w from both sides.
42 = .25m
Divide both sides by .25
168 = m. This means after renting the car, it was driven for 168 miles.
Answer: The reason of 2nd statement is "Converse of corresponding angle post". The reason of 3rd statement is "given". The reason for 4th statement is "perpendicular transversal theorem".
Explanation:
It is given that in the figure angle 1 and 2 are congruent angles. It is also given that the line p is perpendicular to r.
We have to prove line q is perpendicular to r.
it is given that angle 1 and 2 are congruent angles, since line p is perpendicular to line r it means angle 1 and 2 are 90 degree.
Since angle 2 and 3 are supplementary angles it means their sum is 180 degree. Angle 2 is 90 it means angle 3 is also 90 degree.
Since the corresponding angle are same, it means the lines are parallel.
It is given that the line p is perpendicular to r.
The perpendicular transversal theorem states that if two lines are perpendicular to the same line then the lines are parallel to each other.
Since the lines are parallel and bth are perpendicular to the same line, therefore, by perpendicular transversal theorem the line q is perpendicular to line r.
Answer:
182.5
Step-by-step explanation:
First you make them fractions that have the same denominator. 12 can be the denominator, because 6 5/12 already has that denominator and to get 2 2/3 to have a denominator of 12, you multiply the numerator and denominator by 4 (3•4=12, but you have to do the same thing to the top and bottom of the fraction). You then have the equation
6 5/12- 2 8/12. Since you cant subtract 8/12 from 5/12, you turn the numbers into improper fractions, which would be
77/12 - 32/12. You subtract them and get 45/12. You then have to simplify it again, 12 can go into 45, 3 times and you would have 3 and 9/12. 9/12 can be simplified down to 3/4. So the answer would be 3 3/4.
We estimate the diameter of the larger wheel to be 24 to 25 inches.
The formula for the Circ. of a circle in terms of the diameter is C = pi*d.
Here, the Circ. of the larger wheel is approx C = pi(24 inches) = 24*pi inches,
or
24(3.14) inches = 75.36 inches. You must now choose from the four answer choices. Which one is closes to 75.36 inches?