X-10 + 2x + 1= 90°
you combine like terms:
x+2x= 3x and -10 + 1 = -9
So,
3x - 9 = 90
+9 +9
3x=99
Divide by 3,
x= 33
First Angle: x-10 (plug in 33 for x)
33-10 = 23°
Second Angle: 2x + 1 (plug in 33 for x)
2(33)+1
66+1= 67°
To Check if it’s correct and make a 90° angle:
Add 67° plus 23° which equals 90°
First angle: 23°
Second angle: 67°
Hope that help!!
3x+5(4x-6)-8=3x-14
Step-by-step explanation:
Cancel out the terms on both sides of the equation. (3x)
5(4x-6)-8=-14
Distribute 5 through the parentheses.
20x-30-8=-14
Calculate the difference.
20x-38=-14
Move the constant to the right-hand side and change its sign.
20x=-14+28
Calculate the sum.
20x=24
Divide both sides of the equation by 20.
x=6/5, 1.2, or 1 1/5
Answer:
x=6/5, 1.2, or 1 1/5
Hope this helps! :)
Answer:
97
Step-by-step explanation:
Given the following conditions :
board measuring 1x100, each square is numbered from 1 to 100
Three colors are used to paint the squares from left to right in the sequence :
one blue, two reds and three green squares in a repeated pattern.
What is the highest numbered square that is painted blue?
The sequence of painting is repeated after :
(1 + 2 + 3) = 6 successive squares
Since the number of squares = 100
Maximum complete repetition possible :
100 / 6 = 16 remainder 4
Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)
On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.
Hence, the highest numbered square that is painted blue is 97
If he is paid 3.27 for every widget assembled...and he assembles 209...then his total pay for the week is : 3.27 * 209 = $ 683.43 <==
