Answer:
![RS=25\ units](https://tex.z-dn.net/?f=RS%3D25%5C%20units)
Step-by-step explanation:
we know that
If line I s a perpendicular bisector of line segment R Q at point T
then
T is the midpoint of line segment RQ
and
![RT=TQ](https://tex.z-dn.net/?f=RT%3DTQ)
we have
![TQ=18\ units](https://tex.z-dn.net/?f=TQ%3D18%5C%20units)
so
![RT=18\ units](https://tex.z-dn.net/?f=RT%3D18%5C%20units)
Find the value of x
we have
![RT=2x+10](https://tex.z-dn.net/?f=RT%3D2x%2B10)
substitute the value of RT
![18=2x+10](https://tex.z-dn.net/?f=18%3D2x%2B10)
solve for x
![2x=18-10\\2x=8\\x=4](https://tex.z-dn.net/?f=2x%3D18-10%5C%5C2x%3D8%5C%5Cx%3D4)
Find the value of SQ
![SQ=9x-11](https://tex.z-dn.net/?f=SQ%3D9x-11)
substitute the value of x
![SQ=9(4)-11=25\ units](https://tex.z-dn.net/?f=SQ%3D9%284%29-11%3D25%5C%20units)
we have that
Triangle RTS and Triangle QTS are congruent by SAS
see the attached figure to better understand the problem
so
![RS=SQ](https://tex.z-dn.net/?f=RS%3DSQ)
therefore
![RS=25\ units](https://tex.z-dn.net/?f=RS%3D25%5C%20units)
(-6,-2) is what I would say. The equation for the rising slope is y =2x + 10 and the other would be y = -1/2x - 5.
Answer:
10 slices of pizza were sold
Step-by-step explanation:
Let x be the no. of pizza slices sold
Let y be the no. of hot dogs
25 total items were sold
So, x+y=25 ---1
A pizza cost $2 and a hot dog costs $1
Cost of x slices of pizza = 2x
Cost of y hot dogs = y
They made total $35
2x+y=35 ---2
Substitute the value of y from 1 in 2
2x+25-x=35
x=35-25
x=10
Hence 10 slices of pizza were sold
Answer:
Height is 60 inches.
Step-by-step explanation:
The colored triangle that stands in the center of the pyramid is a right triangle. The side of the pyramid is 64, so the bottom edge of the colored triangle is 32. That 32 inch side is a leg of the right triangle. The other length given is the hypotenuse, 68 inches. We can use Pythagorean theorem.
x^2 + 32^2 = 68^2
x^2 + 1024 = 4624
x^2 = 4624 - 1024
x^2 = 3600
square root both sides.
x = 60