Answer:
Yes;Each side of triangle PQR is the same length as the corresponding side of triangle STU
Step-by-step explanation:
You can observe the sides of both triangles to see if this property holds
Lets check the length of AB
A(0,3) and B(0,-1)
![AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\\\\AB=\sqrt{(0-0)^2+(-1-3)^2} \\\\\\\\AB=\sqrt{0^2+-4^2} \\\\\\AB=\sqrt{16} =4units](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%5C%5CAB%3D%5Csqrt%7B%280-0%29%5E2%2B%28-1-3%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%5C%5CAB%3D%5Csqrt%7B0%5E2%2B-4%5E2%7D%20%5C%5C%5C%5C%5C%5CAB%3D%5Csqrt%7B16%7D%20%3D4units)
Now check the length of the corresponding side DE
D(1,2) and E(1,-2)
![DE=\sqrt{(1-1)^2+(-2-2)^2} \\\\\\DE=\sqrt{0^2+-4^2} \\\\\\DE=\sqrt{16} =4units](https://tex.z-dn.net/?f=DE%3D%5Csqrt%7B%281-1%29%5E2%2B%28-2-2%29%5E2%7D%20%5C%5C%5C%5C%5C%5CDE%3D%5Csqrt%7B0%5E2%2B-4%5E2%7D%20%5C%5C%5C%5C%5C%5CDE%3D%5Csqrt%7B16%7D%20%3D4units)
The side AB has the same length as side DE.This is also true for the remaining corresponding sides.
Answer:
13750
Step-by-step explanation:
Let 'x' be the number of bulbs produced in second shift
Number of bulbs produced in 1st shift= 5.5x
Total number of bulbs= 5.5x+x
16250=5.5x+x
x=2500
Number of bulbs produced in shift 1= 5.5×2500
= 13750
Answer:
3/4
Step-by-step explanation:
1/4=2/8, 3/8,1/2=4/8, 5/8, 3/4=6/8
Answer:
2713
Step-by-step explanation:
The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi
The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi
Cylinder - Sphere = Shaded Volume
1152pi - 288pi = 864pi
Substitute 3.14 for pi, and you get
864(3.14) = 2712.96, which rounds to 2713
Answer:
$0.10
Step-by-step explanation:
If the total is $1.10, and the bat costs $1 then you would subtract $1 from $1.10 (1.10-1) and get .10 meaning the ball costs 10 cents