The answer & explanation for this question is given in the attachment below.
Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
- (3x + 20) + (3x + 20) + (5x) + (5x) = 360
- 16x + 40 = 360
- 16x = 320
- x = 20
x = 20°
-Chetan K
Answer:
We can conclude they are congruent
Step-by-step explanation:
Because of the vertical angles theorem
Given the width of a rectangle = w
And the length given is
units greater than its width.
So the length of the triangle = 
We know that the perimeter of the rectangle is 
So by plugging in the values of length and width in terms of w, we will get,
Perimeter = 
= 
We will add the like terms now.

Now we have to expand this expression by distributing 2, We will get,




So we have got the required perimeter of the rectangle in terms of w.
The perimeter is (4w+3) units.
Answer:
see below
Step-by-step explanation:
a)5a−6b+7c from 13a−4b+8c
13a−4b+8c -(5a−6b+7c)
Distribute the minus sign
13a−4b+8c -5a+6b-7c
Combine like terms
8a +2b +c
b)2x²−3xy+4y² from 3x²−5xy−6y²
3x²−5xy−6y² - (2x²−3xy+4y²)
Distribute the minus sign
3x²−5xy−6y² - 2x²+3xy-4y²
Combine like terms
x²−2xy−10y²
c)x²+4xy−3y² from 2x²−5xy+y²
2x²−5xy+y² - (x²+4xy−3y²)
Distribute the minus sign
2x²−5xy+y² - x²-4xy+3y²
Combine like terms
x²−9xy+4y²
d)4x³−6x²+8x−9 from 7x³−16x+18
7x³−16x+18 - (4x³−6x²+8x−9)
Distribute the minus sign
7x³−16x+18 - 4x³+6x²-8x+9
Combine like terms
3x³+6x²−24x+27