Answer:
x = 44⁰
y = 46
z = 90⁰
m = 36⁰
n = 40⁰
Step-by-step explanation:
a) Opposite angles of a parallelogram are always equal, so x = 44. The 4 angles will add up to 180⁰, so when you add the two 44⁰ angles together and subtract from 180⁰, you get 92⁰. divide that by 2 and you get 46⁰, so y = 46⁰.
b) since the two sides are parallel, if the other side is perpendicular to one, causing the 90⁰ angle, it is also perpendicular to the other, so z = 90⁰.
c) Opposite angles over a common side are equal, so m = 36⁰.
d) You know the missing angle in the small on the right is 40⁰ because the three angles will add up to 180⁰ and the two known angles add to 140⁰. Then you can use the same reason above to figure that the angle next to 65⁰ is 40⁰. The hashes on the sides of the bigger triangle on the left show it is an isoceles triangle in which the two base angles are always equal, so since you know the one is 40⁰, you know that n = 40⁰ also.
90-41 =49
So the answer to x =49 degrees
Complimentary angles are two angles that equal 90 that us why to solve we subtract 41 from 90
The answer is A.
He ran for six (6) miles every day. 4 in the morning and 2 at night = 6 per day.
He did this for four (4) days. The way to figure this would be to go 6 * 4. This equals 24 miles.
Go back a few steps (punny!).
So days multiplied by how many miles he ran a day which is calculated by miles in morning added to miles at night.
days*(miles per morning + miles per night)
days=4
miles per morning=4
miles per night = 2
4 * (4+2)
Calculating this out....
4 * (4+2)
(4+2 = 6)
4 * 6 = 24.
So A is the answer.
Order of Operations = PEMDAS
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