Answer:
hope it helped :)
Step-by-step explanation:
1)
In ΔABC , sum of angles = 180°
∠A + ∠B + ∠C = 180
48 + 103 + ∠C = 180
∠C = 29°
2)
∠D and ∠E are complementary angles. That is sum of ∠D and ∠E = 90
∠D + ∠E = 90°
52 + ∠E = 90
∠E = 38°
3)
∠F + ∠G = 145 + 35 = 180°
Since sum of angles is 180° , they are supplementary angles.
4)
a) diameter , d = 16 ft => radius = 16/2 = 8ft
b) circumference, c =π d = 3.14 x 16 = 50.24ft
c) Area = π [tex]r^2[/tex] = 3.14 x 8 x 8 = 200.96 square feet
5)
a) ∠M = 72°
b) [tex]\frac{15}{5} = \frac{8}{x}[/tex]
[tex]x = \frac{8 \times 5}{15} = \frac{40}{15} = \frac{8}{3}[/tex]
6)
For the given lengths to be a triangle. sum of squares of small sides must be equal to square of larger length. That is,
[tex]5^2 = 4^2 + 3^2\\25 = 16 + 9\\25 = 25[/tex]
And it's true. So the lengths make a triangle.
