Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
D^2 = (x2-x1)^2 + (y2-y1)^2
D =sqrt((10+5)^2 + (10-2)^2)
D P SQRT(15^2 + 8^2)
D = sqrt(225 +64)
D= sqrt(289)
D = 17
The distance is 17
The x coordinate stays the same but y coordinate changes sign so it will be a reflection in the x-axis.
They spent 5839 on electrical appliances and 6659 on furniture
Answer:
See attached
Step-by-step explanation:
Given function:
Table and graph are attached
Zeros are included in the graph
<u>Zero's are obtained:</u>
x = 0 ⇒ y = 8
y = 0 ⇒ Solving quadratic equation
- -2x² + 5x + 8 = 0
- x = (-5 ± √(25 + 2*4*8))/-4
- x = 3.608
- x = -1.108
So zeros are (0, 8), (3.608, 0) and (-1.108, 0)