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
P is 5 ticks to the left of 0, so it would be -5/8
Q is 5 ticks to the right of 0, so it would be at 5/8
an absolute value turns a negative number into a positive number
so absolute value of P located at -5/8 = 5/8
this is the location of point Q
<span>Jimmy said that the absolute values of the numbers represented by the two points are the same.
</span>
so Jimmy is correct
Answer:
$740.00
Step-by-step explanation:
85% of x is 629
Translate into algebra. Use a decimal in place of the percent:
.85x = 629
Divide by .85
x = 740
This answer makes sense because the regular price should be a little higher than the sale price. If they are paying 85% they're only getting 15% off.
Check:
740×.85 = 629
I need my points heheheheh
Answer:
(x−2)(x+5)
Step-by-step explanation: