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:
y = 3x + 18
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 9, - 9) and (x₂, y₂ ) = (- 6, 0)
m = =
= 3, thus
y = 3x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (- 6, 0), then
0 = - 18 + c ⇒ c = 0 + 18 = 18
y = 3x + 18 ← equation of line