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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SOLUTION
If the table represents an inverse variation, it means that y is inversely proportional to x, written as
Removing the proportionality sign and introducing a constant k, we have
In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have
So, if it's an inverse variation, the relationship would be
In the second column, x = -2 and y = 7.
Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation
We have
Since we got y = 7, the relationship is therefore an inverse variation.
The constant k = -14
The equation for the inverse variation is