Answer: The numerical length of 
is 20 units.
Step-by-step explanation:
Given: Point T is on line segment .
i.e. 
(i)
Since , it is given that ST=2x+6,TU=4, and SU=4x
Substitute these values in (i), we get
Now, the numerical length of 
Hence, the numerical length of is 20 units.
Part A
The small red arcs indicate that angles PQS and RQS are congruent.
13x - 1 = 2(6x + 4)
13x - 1 = 12x + 8
x = 9
m<PQR = 13x - 1 = 116
m<RQS = 6x + 4 = 6(9) + 4 = 58
m<PQS = 116 - 58 = 58
Part B
12^2 + (OH)^2 = 13^2
144 + (OH)^2 = 169
(OH)^2 = 25
OH = 5
r = OH = 5
Part C
WZ/ZY = WX/XY
24/12 = 30/XY
2 = 30/XY
2(XY) = 30
XY = 15
Answer:
$13
Step-by-step explanation:
Given that :
Increase in salary factor = 11/10
New salary = $14.30
Initial salary = x
To obtain the value of the initial salary,
The product of the scale factor by the initial salary sgiuf give the amoi tof the new salary
11 / 10 * x = 14.30
1.1x = 14.30
x = 14.30 / 1.1
x = $13
Hence.initial salary per hour = $13
Answer:
7y+4
Step-by-step explanation:
combine liked terms
9514 1404 393
Answer:
1725 ft²
Step-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
Here, the bases are given as 65 ft and 50 ft, and the height is 30 ft. Then the area is ...
A = 1/2(65 ft +50 ft)(30 ft) = (1/2)(115 ft)(30 ft) = 1725 ft²
You tell the salesman your lawn area is 1725 square feet.
