Answer:
A. Width = 25 Length = 15
Step-by-step explanation:
Length = L = Width - 10
Width = W
Perimeter of a rectangle
=> 2 (L + B) = 80
=> 2 (W - 10 + W) = 80
=> 2 (2W - 10) = 80
=> 4W -20 = 80
=> 4W -20 + 20 = 80 + 20
=> 4W = 100
=> 4W/4 = 100/4
=> W = 25
Width = 25
Length = 25 - 10 = 15
So, the answer is A.
Answer:
<D = 100
<E =30
<F =50
Step-by-step explanation
Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e
<A = <D
<B = <E
<C = <F
Given
<A = 100 then <D = 100
<B = 30°, then <E = 30°
To get <F, we will use the expression
<D+<E+<F = 180 (sum of angles in a triangle is 180°)
100+30+<F = 180
130+<F = 180
<F = 180-130
<F = 50°
Hence the measure of <F is 50°
