Answer:
x-intercept = -6
<h2>y-intercept = -21</h2>
Step-by-step explanation:
x - intercept is for y = 0
y - intercept is for x = 0.
We have y = -2x - 21.
Substitute:
x = 0 → y = -2(0) - 12 = 0 - 12 = -12
y = 0 → 0 = -2x - 12 <em>add 2x to both sides</em>
2x = -12 <em>divide both sides by 2</em>
x = -6
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
Answer:
1/108
Step-by-step explanation:
First problem: draw a line segment through the vertex R and a point C on PQ such that the segment is perpendicular to PQ, thus forming an altitude of the triangle. This new segment CR, the new segment CP, and PR form a 30-60-90 right triangle, where the measure of angle PCR is 90 degrees. CR then occurs with PR in a ratio of
to 2, so
and this can be considered the height of a triangle whose base is PQ. The area is then
Second problem: the sum of the interior angles of any triangle is 180, so the measure of the missing angle must be 180 - 20 - 35 = 125 degrees. By the law of sines, the length of the missing side (call it
) satisfies
Use Heron's formula to find the area of the triangle:
where
is the area,
are the lengths of the sides, and
is the half the perimeter of the triangle. Then the area is about
square feet. Convert to square yards:
then round up to 7 square yards. At a price of $12.50 per square yard, the total price will be $87.50.
Answer:
$8.00 per shirt
Step-by-step explanation:
32 ÷ 4 = 8