2. Using the external angle of a triangle theorem.
6x - 17 = 3x - 11 + 2x + 11
6x - 5x = 17
x = 17
So m angle K = 2(17) + 11
= 45 degrees answer
3. The diagonals are both medians of the triangle so the 2 parts are in the ratio 2:1 so 3:x = 2:1 and x = 1.5 answer
2:1
The area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
<h3>How to Calculate the Area of a Rectangle?</h3>
The area of a rectangle is calculated using:
Area = (length)(height).
We are given the following:
Length of rectangle ABCD = side DC = 4y - 5
Height of rectangle ABCD = side AD = 2y
The area of rectangle ABCD = (length)(height) = (4y - 5)(2y).
Expand the expression
The area of rectangle ABCD = 2y(4y) - 2y(5) [distributive property of multiplication]
The area of rectangle ABCD = 8y^2 - 10y
Thus, the area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
Learn more about area of rectangle on:
brainly.com/question/25292087
#SPJ1
Answer:
-18.00
Step-by-step explanation:
-12.75-5.25
Its going to be a negative number since the greatest number is a negative.
Since its both negative signs you add
12.75+5.25=18.00
Now make it negative.
-18.00
Hope this helps!!!
Have a great day!!! :)