Answer:
5
Step-by-step explanation:
$4.75 + 0.3x = $6.26
0.3x = 1.51
x = 5.033
Answer:
r = 7 ft
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 43.96 , then
2πr = 43.96 ( divide both sides by 2 × 3.14 ← for π )
r = 
= 
= 7 ft
Answer: x = 7
-----------------------------------------
Angle STU is 15x. This is the exterior angle on the right side of the triangle
Subtract this from 180 to get angle RTS
angle RTS = 180 - (angle STU)
angle RTS = 180 - 15x
Focus solely on triangle RTS. If needed, erase the portion that extends out toward point U
If we focus on the triangle only, then angle R = angle T since they are the base angles of the isosceles triangle. We know that triangle RST is isosceles since RS = ST is given to us.
Because angle R = angle T, we know
angle R = 180-15x
angle T = 180-15x
and we also know
angle S = 4x+2
since that's given as well
Add up the three angles and set that sum equal to 180. Then solve for x
R+S+T = 180
(180-15x)+(4x+2)+(180-15x) = 180
(-15x+4x-15x) + (180+2+180) = 180
-26x + 362 = 180
-26x + 362-362 = 180-362
-26x = -182
-26x/(-26) = -182/(-26)
x = 7
