Answer: See below
Explanation:
8x + 14 = 10x - 10 (alt. exterior angle)
8x - 10x = -10 - 14
-2x = -24
x = -24/-2
x = 12
Now plug x = 12 in 10x - 10 to find the angle:
10(12) - 10 = 120 - 10 = 110 degree
<h3>
Answer: 2x+4y+12z (choice B)</h3>
Work Shown:
x = amount of rent paid per half year
2x = amount of rent paid annually
y = amount spent on groceries per quarter
4y = amount spent on groceries annually
z = amount spent on a transit pass monthly
12z = amount spent on transit pass annually
2x+4y+12z = total amount of money spent annually
Answer:
B) 42:28
Step-by-step explanation:
First, let's get 12:18 simplified to make it easier to compare:
12:18 -> 4:6 - > <u>2:3</u>
Now let's check it against all the options:
A) 20:30 -> 2:3 and 2:3 = 2:3
Not our answer as it is congruent (equal too, the same as, etc)
B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!
42:28
(it simplifes to 6:4 -> 3:2)
(we do not have to do the following as we already have an answer, but here is the math)
C) 4:6
4:6 ->
2:3 = 2:3
D) 2:3
2:3 = 2:3
16,500
60 minutes in an hour / 12 minutes = 5
5 * 3,300 = 16,500
