Given that the two angles form a linear pair, let second angle be x, the first angle will be 3x because it is 3 times the second angle. But linear angles add up to 180, thus
x+3x=180
4x=180
hence
x=180/4
x=45°
thus the measure of the first angle will be :
3x=3*45=135°
the second angle is 45°
First of all, let's remember the formula for calculating area. <em><u>Length times width equals area.</u></em> (lxw=a)
Now that we have the formula. Let's take the length (8 cm) and the width (6 cm) and add 1 cm to each of them.
Length: 8+1=9.
Width: 6+1=7.
Now, let's apply the formula for area.
9 x 7 = 63
Now that we've found the area is 63 cm, let's find the perimeter. To find the perimeter of a rectangle, we must multiply the length by 2 and the width by 2, then we add the two numbers. In this case, here's what we'll do:
9 x 2 = 18
7 x 2 = 14
18 + 14 = 32
Now we have the area and perimeter.
Final answer(s):
Area = 63 cm.
Perimeter = 32 cm.
Hope this explanation helped you out. :)
The subtraction gives -7x^2( x + 1) - 3
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions are expressions that are made up of factors, terms, variables and constants.
They also consist of arithmetic operations.
We have to subtract (6x^3 − x^2 + 8x + 5) from (−x^3 − 9x^2 + 2)
It is written as;
(−x^3 − 9x^2 + 2) - (6x^3 − x^2 + 8x + 5)
−x^3 − 9x^2 + 2 - 6x^3 + x^2 - 8x - 5
collect like terms
-x^3 - 6x^3 - 9x^2 + x^2 + 2 - 5
Add like terms
-7x^3 - 7x^2 - 3
To simply further
-7x^2( x + 1) - 3
Thus, the subtraction gives -7x^2( x + 1) - 3
Learn more about algebraic expressions here:
brainly.com/question/4344214
#SPJ1
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction and then multiply