Answer:
∠P = 39º
∠Q=120º
∠R = 21º
Step-by-step explanation:
m∠P+m∠Q+m∠R=180º (sum of ∠s in a triangle)
2x-3+6x-6+x=180º (substitution)
9x-9=180º (algebra)
9x=189º (algebra)
x=21º (algebra) (this is ∠R)
(2x-3)=39º (algebra) (this is ∠P)
6x-6=120º (algebra) (this is ∠Q)
Answer:
The answer to your question is below
Step-by-step explanation:
csc α - cot α = 
Work with the left part
Simplify
Multiply by the reciprocal
Simplify
Remember that
sin²α = 1 -cos²α
Substitute the previous equation
Simplify
The identity i proved.
Answer:
$5.08
Step-by-step explanation:
Step one:
given data
We are told that a credit card company applies a 6% fee on all transactions under $10
since the cost of coffee bellow $10 that is $4.80, the 6% fee is applicable
so
=6% of 4.80
=6/100*4.80
=0.06*4.8
=$0.288
Step two:
the total fee will be
=0.288+4.80
= $5.08
Answer:
3.1
Step-by-step explanation:
Answer:
y = 6x + 7.
Step-by-step explanation:
Using the point-slope form of a line
y - y1 = m(x - x1)
m = 6, x1 = 6 and y1 = 43:
y - 43 = 6(x - 6)
y - 43 = 6x - 36
y = 6x - 36 + 43
y = 6x + 7.
