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.
Answer:
$0.24 for one cup of whole milk
Explanation:
One Gallon is 16 cups, so if you divide the amount of a whole gallon by the amount of cups, you get 0.24 which will be your answer.
Hope this helps! ^^
Answer:
y = 14
Step-by-step explanation:
Since AC = BC then the triangle is isosceles and the base angles are congruent, that is
∠A = ∠B = 50°, thus
∠C = 180 - (50 + 50) ← sum of angles in Δ = 180°
= 180 - 100 = 80°, hence
5y + 10 = 80 ( subtract 10 from both sides )
5y = 70 ( divide both sides by 5 )
y = 14
Answer:
F(m) = -12
Step-by-step explanation:
Given the function:
When m = 4, we substitute the variable 'm' for the number 4:

F(m) = 256 - 384 + 80 + 40 - 4
F(m) = -12
You combine the numbers that have the same letter attached to them. Then you add or subtract the bumbers from each other to. After that you make the numbers and the numbers with letters into one equation
Ex: 13+5r+7r= 13+12r
Step-by-step explanation:
2w+w=3w If theres a letter by itself it means theres a 1.