Answer:
x = 30°
y = 115°
Step-by-step explanation:
Given = AB ║ DC
∠A = 2x + 10
∠B = 65
∠C = y
∠D = 3x + 20
( AD is the transversal on the parallel lines AB and DC)
∴ ∠A + ∠D = 180 and ∠B + ∠C = 180
(1) ∠A + ∠D = 180
2x + 10 + 3x + 20 = 180
5x + 30 = 180
5x = 180 - 30 = 150
x = 150÷5
x = 30°
(2) ∠B + ∠C = 180
65 + y = 180
y = 180 - 65 = 115
y = 115°
Answer: B
Step-by-step explanation:
The ratio of the areas of similar figures is the square of the scale factor.
- Scale factor = image/preimage = 48/12 = 4.
So, the ratio of the areas is 16, and thus the area of DEF is (16)(90)=1440
Divide the total amount of olive oil by the amount packaged into an individual bottle.
1560 / 24 = 65 bottles per hour
-3x + 7 = 4
-3x = -3
x = 1
4(1) - 4
4-4
0
Answer:
x = 15
Step-by-step explanation:
We assume you want to find the value of x.
Know (or prove) that in this geometry, all of the right triangles are similar. That means the ratios of corresponding sides are proportional.
short side / hypotenuse = 9/x = x/25
x^2 = (9)(25) . . . . . . . . . . multiply by 25x ("cross multiply")
x = √((9)(25)) = (3)(5) . . . take the square root
x = 15