Answer:
x=31
Step-by-step explanation:
3x+25+2x=180°
=5x=155°
x=155/5
x=31
Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
Answer:
438,012 ways.
Step-by-step explanation:
We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.
Since the letters and digits can be repeated, so we will use fundamental principal of counting.
For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.
We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.
So we can choose coupon code is following ways:

Therefore, we can choose coupon codes in 438,012 ways.
First, you must use a factor tree to find the prime factors of the number.
12
/ \
6 (2)
/ \
(3) (2)
2 , 2 and 3 are the prime factors that make 12
2 x 2 x 3= 12
Or
2^2 x 3= 12