Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.
Answer:
7.5 miles per hour.
Step-by-step explanation:
We have been given that Mr. Ward runs a lot. He ran 45 minutes each day, 5 days each week, for 16 weeks.
First of all, we will find time for that Mr. Ward ran in 16 weeks.
We will multiply 5 by 16 to find number of days for that Mr. Ward ran and then we will multiply the result by 45 minutes to find the time.


Now, we will divide 3600 minutes by 60 minutes to convert time into hours as:

Now, we will divide 450 miles by 60 hours to find Mr. Ward's average speed as:


Therefore, Mr. Ward's average speed in 7.5 miles per hour.
Answer:
79,213,229 ft3
Step-by-step explanation:
The volume of a pyramid is given by the following formula:
Volume = (1/3) * B * h
Where B is the base area and h is the height.
The side of the base is 754 feet, so the base area is:
B = 754^2 = 568516 ft2
Then, the volume of the pyramid is:
Volume = (1/3) * 568516 * 418 = 79213229.33 ft3
Rounding to the nearest cubic foot, we have:
Volume = 79,213,229 ft3
Answer:

Step-by-step explanation:
the equation of a circle with a center at (0, 8) and a radius of 9.
To frame the equation of the circle we use center radius form of equation

Where (h,k) is the center and 'r' is the radius
Given center is (0,8) and radius = 9
h = 0 , k= 8 and r= 9
Plug in all the values


