If you look along the downward sloping line you can see that:
85+2x+x-10=180 combine like terms on left side
3x+75=180 subtract 75 from both sides
3x=105 divide both sides by 3
x=35
Now if L and M are parallel, angle 3 must be equal to x-10 because they are vertical angles (equal opposing angles). We know now that x=35 so:
angle 3 =35-10=25°
Answer:
x=3/2y−6
y=2/3x+4
Step-by-step explanation:
Let's solve for y.
12=−2x+3y
Step 1: Flip the equation.
−2x+3y=12
Step 2: Add 2x to both sides.
−2x+3y+2x=12+2x
3y=2x+12
Step 3: Divide both sides by 3.
3y/3=2x+12/3
Answer:
First: 44
Second:
a: 2.5
b: 37.5
Step-by-step explanation:
For the first question it shows how many pages she can read in twenty minutes. The ratio is 20-5.
First we're going to divide, 20/5=4, it takes her 4 minutes to read 1 page.
Remember every five pages it takes her 20 minutes and there are two 5 in the number 11, so that's 40. Just one more page left, above we figured out how many minutes it takes her to read one page which is 4. 40+4=44.
Now onto the second question.
a: all we do is 10/4= 2.5
To check this we can add 2.5 4 times (or 2.5x4) and we would get 10.
B: Since we already know from the question above that you need 2.5 ounces of cheese for each pizza all we'll do is 2.5x15= 37.5
I hope this helps you and isn't confusing!
12p + 15 - 13 - 12p
12p - 12p is cancelled
15 - 13 equals 2
Therefore the answer is 2