Answer:
Step-by-step explanation:
Angle 9 = 85 degrees
Angle 9 and < 11 are vertical angles
Vertical angles are equal
<11 = 85 degrees
RS+ST=RT
RS=7y-4
ST=y+5 using RS and RT in the first equation gives you:
7y-4+y+5=RT combine like terms on left side
8y+1=RT, and we are told that RT=28 so:
8y+1=28 subtract 1 from both sides
8y=27 divide both sides by 8
y=27/8
(RS=19 5/8, ST=8 3/8, RT=28)
Answer:
y = -4x + 36
Step-by-step explanation:
First, find the slope by calculation (y2-y1)/(x2-x1), you should get -8/2, or -4.
Next, plug the points into the equation y-y1 = slope(x-x1), getting y-28 = -4(x-2).
Simplify the equation and you get y =-4x + 36.
Hopefully this helps- let me know if you have any questions!
Answer:
Step-by-step explanation:
KL is tangent to the circle, so angle JKL = 90°.
Pythagorean Theorem:
r² + 24² = (r+16)²
r² + 576 = r² + 32r + 256
32r = 320
r = 10 units
