Answer:
y=x+1
or y=1x+1
Step-by-step explanation:
Answer:
x = 9, ∠ 1 = ∠ 2 = 66°
Step-by-step explanation:
If r and s are parallel then
∠ 1 = ∠ 2 ( corresponding angles ) , then
84 - 2x = 93 - 3x ( add 3x to both sides )
84 + x = 93 ( subtract 84 from both sides )
x = 9
Then
∠ 1 = 84 - 2x = 84 - 2(9) = 84 - 18 = 66°
∠ 2 = 93 - 3x = 93 - 3(9) = 93 - 27 = 66°
Given:
The vertices of the triangle are (-10,-3), (1,4) and (-1,7).
To find:
The perimeter of the triangle.
Solution:
Distance formula:
Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).
Using distance formula, we get
Similarly,
Now, the perimeter of the triangle is
Therefore, the perimeter of the triangle is 30.098 units.
Let k be the amount of t-shirts brayan sold:
( k x 3 ) = 36
= 36 divided by 3 = 12
Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
