Question

Someone help me with these immediately

Answer 1

hope it helped :)

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
`r^2` = 3.14 x 8 x 8 = 200.96 square feet

5)

a) ∠M = 72°

b)
`(15)/(5) = (8)/(x)`

`x = (8 * 5)/(15) = (40)/(15) = (8)/(3)`

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,

`5^2 = 4^2 + 3^2\\25 = 16 + 9\\25 = 25`

And it's true. So the lengths make a triangle.

Answer 2

Explanation:

1.48+103+c=180(sum of the interior angles of a triangle)

151+c=180

c=180-151

c=29 degree

2.angle D+angle E=90(in complementary angles sum of two agles is 90 degree)

52+angle E=90

angle E=90-52

angle E=38 degree

3.angle F+angle G

=145+35

=180 degree

yes they are supplementary angles because in supplementary angle sum of two angles is 180 degree)

4.a.radius=diameter/2

=16/2

=8 ft

b.circumference=πd

=3.14*16

=50.24 ft

c.area=πr^2

=3.14*(8)^2

=3.14*64

=200.96 ft^2

6.yes 3,4 and 5 forms a triangle because the sum of two first number is greater than third side.