Answer:
∠ 1 = 109° , ∠ 2 = 29° , ∠ 3 = 71°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
∠ 1 + 35° + 36° = 180°
∠ 1 + 71° = 180° ( subtract 71° from both sides )
∠ 1 = 109°
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∠ RVU and ∠ 1 are adjacent angles on a straight line and sum to 180° , then
∠ RVU + ∠ 1 = 180°
∠ RVU + 109° = 180° ( subtract 109° from both sides )
∠ RVU = 71°
In Δ RVU
∠ 2 + 80° + 71° = 180° ( sum of angles in triangle )
∠ 2 + 151° = 180° ( subtract 151° from both sides )
∠ 2 = 29°
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∠ 3 and ∠ RVU are vertically opposite angles and are congruent , then
∠ 3 = 71°
Let's draw a perpendicular GI from the point G on FJ.
So, GI = HJ = 24 ft
And IJ = GH = 24 ft
Let's assume FI = x.
Now we can use right triangle FIG to find the length of x.
By using Pythagorean formula we can set up an equation as following:
x² + 24² = 30²
x² + 576 = 900
x² = 900 - 576 Subtract 576 from each sides.
x² = 324
x = 18
Now FJ = FI + IJ
= 18 + 24
= 42
So, length of line segment FJ is 42 feet.
Hope this helps you!
414.335 because of a calculator
I would think you would use 1/3 of a cup but I am not sure.Hope it helps!
Answer:
32
Step-by-step explanation: