Answer:
The angles remain the same for all values of n. After a dilation, the angle measurements for the image and the preimage are always equal.
Step-by-step explanation:
Answer:
16.495
Step-by-step explanation:
plz mark B R A I N L I E S T
You would want to add all of the angles together to find the sum. Set this equal to 360.
2x-9 + 2x-9 + x + x + x = 360
Combine like terms,
7x-18 = 360
Add 18 to both sides,
7x = 378
Divvied both sides by 7,
x = 54
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula:
(where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!
Answer:
Step-by-step explanation:
<em>See attached</em>
<h3>Given </h3>
<u>Kite WXYZ with:</u>
- XY = 3a - 5
- YZ = a + 11
- ∠W = 50°
- ∠X = 3b
- ∠Y = 70°
<h3>To find </h3>
<h3>Solution</h3>
<u>Since XY and YZ are congruent sides, XY = YZ</u>
- 3a - 5 = a + 11
- 3a - a = 11 + 5
- 2a = 16
- a = 8
<u>The angles Z and X are equal and the sum of 4 angles is 360°, therefore:</u>
- 3b + 3b + 50° + 70° = 360°
- 6b + 120° = 360°
- 6b = 240°
- b = 40°
<u>Correct option is the last one </u>