Answer:
∠ XYZ = 41°
Step-by-step explanation:
∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus
8x - 15 = 3x + 20 ( subtract 3x from both sides )
5x - 15 = 20 ( add 15 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Thus
∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 + 3 = 4
so find the point 1/4 of the way from (-1, 2) to (7, 8)
x coordinate
Δx = ¼(7 - (-1)) = 2
x = x₀ + Δx
x = -1 + 2 = 1
y coordinate
Δy = ¼(8 - 2) = 1½
y = y₀ + Δy
y = 2 + 1½ = 3½
(1, 3½)
Answer:
-2
Step-by-step explanation:
(5 - a) = 20 + (6a -1) . . . . . 5-a is 20 greater than 6a-1
5 = 7a +19 . . . . . . . . . . . . . add a, collect terms
-14 = 7a . . . . . . . . . . . . . . . subtract 19
-2 = a . . . . . . . . . . . . . . . . divide by 7
The value of the variable is -2.
_____
<u>Check</u>
5 - (-2) = 7
6(-2) -1 = -13
7 is 20 greater than -13, so the answer checks OK.
Answer:
bottom left graph
Step-by-step explanation:
A proportional relationship is linear, represented by a straight line graph passing through the origin.
The graph on the bottom left is straight line passing through the origin.