Please help :( find b
1 answer:
Answer:
The measure of angle b is 55 degrees.
Step-by-step explanation:
First, recall the circle's theorem below.
<em>The angle between a tangent and a radius is a right angle.</em>
As a result, we have the diagram below.
Using the sum of angles in a triangle, we find the value of x above.
90+35+x=180
125+x=180
x=180-125
x=55
From another circle's theorem:
The measure of the angle of an arc is equal to the measure of the angle it subtends at the circle.
Therefore:
x=b=55
The measure of angle b is 55 degrees.
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Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:
Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:
To solve exponentials, we can take Natural Log (Ln) of both sides:
Using the rule shown below we can simplify and solve:
We can write:
To the nearest year, that would be about 9 years