Answer:
<u>x = 50°</u>
Step-by-step explanation:
2x = 140 - 40
2x = 100
x = 100/2
<u>x = 50°</u>
Step-by-step explanation:

Answer:
<h3>147.6 pounds of food</h3>
Step-by-step explanation:
Each box weighed 16.4pounds, if the volunteers packed 9 boxes, we need to calculate the total pounds of food collected. Using the equality postulate;
1 box = 16.4 pounds
9 boxes = x pounds of food
Cross multiply;
1 * x = 9 * 16.4
x = 147.6 pounds of food
Hence the volunteers collected 147.6 total pounds of food
Answer:
Length of hypotenuse JH = 9.2 unit (Approx.)
Length of perpendicular JG = 6.5 unit
Step-by-step explanation:
Given:
Length of base GH = 6.5 unit
Angle of H = 45°
Find:
Length of perpendicular JG
Length of hypotenuse JH
Computation:
Using trigonometry function:
Tan θ = Perpendicular / Base
Tan 45 = Perpendicular / 6.5
1 = Perpendicular / 6.5
Perpendicular = 6.5
Length of perpendicular JG = 6.5 unit
hypotenuse = √perpendicular² + base²
Length of hypotenuse JH = √6.5² + 6.5²
Length of hypotenuse JH = √42.25 + 425.25
Length of hypotenuse JH = √84.5
Length of hypotenuse JH = 9.1923
Length of hypotenuse JH = 9.2 unit (Approx.)