I think the answer is (-13, -3) but I am not completely sure!
I believe the answer is 240 square feet!
- hope this helped!!!
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: #20, x = 3
#21, x = 1/2
Step-by-step explanation:
#20) x + 4 + x + 2+ x + 5 = x + 3 +x+3+x+1+x+1
3x + 11 = 4x + 8
<u>-3x -3x</u>
11= x + 8
<u> - 8 - 8</u>
3 = x
#21) 12x(5) = 6x + 9 + x + 10 + x + 7
60x =8x + 26
<u> -8x -8x</u>
52x = 26
divide both sides by 52
x = 1/2