Y = 104°
z = 24
Angle y° and (5z - 44)° are linear pairs, meaning that the two measures together will add up to 180°.
To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24
Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
180 - 76 = 104°
Answer:
The banner is 10 2/3 ft long
Step-by-step explanation:
1 1/3 = 4/3 times the width of the banner:
4/3 * 8 feet wide = 4/3 * 8 = 32/3 = 10 2/3 feet long
The banner is 10 2/3 feet long. :)
Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18
Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term
First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5
Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8
y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13
The value of x is 8, the value of y is 13
Answer:
Step-by-step explanation:
From B on the ground straight up to A and then turn the corner to follow the dotted line...that is a 90 degree angle. So in order to find the angle of depression, subtract 66 from 90 to get 24 degrees. Subsequently, that is also the angle of elevation (the base angle inside the triangle) due to parallel lines and whatnot.
