Answer:
15/8
Step-by-step explanation:
tan 2θ = 2 tan θ / (1 − tan² θ)
tan 2θ = 2 (3/5) / (1 − (3/5)²)
tan 2θ = (6/5) / (1 − 9/25)
tan 2θ = (6/5) / (16/25)
tan 2θ = (6/5) × (25/16)
tan 2θ = 15/8
Answer:
Yes; they are congruent
SSS
Step-by-step explanation:
Here, we want to check if the given triangles are congruent
From what we have, we can see that all three sides are marked for both triangles
So the sides of the triangles are income
So therefore, the triangles are congruent by SSS
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
