In the diagram below, \overline{ab} \parallel \overline{df},
ab
∥
df
, \text{m}\angle dce = 103^{\circ}m∠dce=103
∘
and \text{m}\angle cef = 150^{\circ}.m∠cef=150
∘
. find \text{m}\angle b. m∠b.
a
b
c
d
e
f
103°
150°
you may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale.

\text{m}\angle b=m∠b=
^{\circ}
∘

maybe i can

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

it's d

step-by-step explanation:

total of apples - take away four

6-4 = 2

answer is 2 apples