Answer:
1/2
Step-by-step explanation:
Slope = rise/run
Rise=1
Run=2
Rise/run=1/2
Answer:
6
Step-by-step explanation:
From the Trapezoid attached :
EF = GT
FG = LA
LE = AT = 10
LA = 24 ; FG = 24
FG + EF + GT = 40
Let : EF and GT = x
FG + 2x = 40
24 + 2x = 40
2x = 40 - 24
2x = 16
x = 16 ÷ 2 = 8
Hence, EF = GT = 8
Using Pythagoras :
Opposite² = hypotenus² - Adjacent²
LF² = LE² - FE²
LF² = 10² - 8²
LF² = 100 - 64
LF² = 36
LF = √36
LF = 6
Answer:
30°
Step-by-step explanation:
∠A + ∠B + ∠C = 180
∠B = ∠A + 20
∠C = 2 * ∠B
<A + (∠A + 20) + (2 * ∠B) = 180
<A + (∠A + 20) + (2 * (∠A + 20)) = 180
<A + (∠A + 20) + 2∠A + 40 = 180
4∠A + 60 = 180
4∠A = 120
∠A = 30
Answer:
∠ WUV = 36°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ VWX is an exterior angle of the triangle, thus
8x - 18 = 2x + 8 + 3x + 16
8x - 18 = 5x + 24 ( subtract 5x from both sides )
3x - 18 = 24 ( add 18 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Thus
∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°
