(2,4) y=2/5x - 9 write an equations perpendicular to the line represented by y=2/5x-9
1 answer:
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9514 1404 393
Answer:
- ∠QSR = 78°
- ∠SQR = 51°
Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
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Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
Answer:
<h2>y = 9x + 65</h2>Step-by-step explanation:
To find the equation of the line given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the slope is 8 and the point is ( - 9 , - 7)
Substitute the values into the above formula and solve for the equation
We have
We have the final answer as
<h3>y = 9x + 65</h3>Hope this helps you