Answer:
AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49 meters
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <u><em>this must be a concave pentagon.</em></u>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE: c² = 110² + 50² c=√14600 AE = 120.830 m
DE: c² = 100² + 110² c = √22100 DE = 148.661 m
Add those lengths and the remaining sides of the 140m × 150m rectangle to calculate the perimeter.
280+150+120.83+148.66= 699.49
It is 5.9 meters and 590 centimeters
Answer:
1: 105 degrees
2: 75 degrees
Step-by-step explanation:
2 is a corresponding angle with 75.
1 is supplementary so x+75 = 180
x=105
Answer:
Step-by-step explanation:
+ or x you plus the indices
- or divide you minus the indices
so 3^8 x 3^4 would be 3^12
and 3^2 x 3^8 would be 3 ^10
Answer:
<em>The scale factor is 3</em>
Step-by-step explanation:
<u>Dilations</u>
A dilation is a transformation that produces an image that has the same shape as the original but has a different size.
A dilation is described by the scale factor or constant of dilation and the center of the dilation.
We are given a triangle XYZ of coordinates given in the graph to the left:
X=(-1,1), Y=(-1,4), Z=(-2,1)
It was dilated to triangle X'Y'Z' with coordinates:
X'=(-3,3), Y=(-3,12), Z=(-6,3)
Note each coordinate of the dilated triangle is three times the coordinates of the original triangle, thus the scale factor is 3
