The answer is in the question
We have been given that . We are asked to prove that .
First of all, we will solve for tangent of alpha as:
Now, we will divide left side of our given equation by as:
We know that , so we will get:
Upon substituting , we will get:
Hence proved.
Answer=20% increase
$125 $150
______=______
100% x %
125x=15000
x=120%
120%-100%=20% increase
Answer:
Step-by-step explanation:
Required
The equation of line
perpendicular to :
Passes through
We have:
Make y the subject
Solve for y
Compare the above equation to
---- This represents the slope
Since the line is perpendicular to , then its slope is:
The equation of the perpendicular line is:
Where:
So:
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135