(4x-6)+(8x+18)=180(adjacent angles are supplementary)
4x-6+8x+18=180
4x+8x-6+18=180
12x+12=180
12x=180-12
12x=168
x168/12
x=14
8x+18=y+3 (corresponding angles are equal)
8×14+18=y+3
130=y+3
-y=3-130
-y=-127
y=127
x=14, y=127
Hey there! I'm happy to help!
We have 5 test scores that give us an average of at least 75.
76, 85, 92, 63, x
We add these all up and divide by 5 to get 75.
Let's go backwards to find x.
We multiply by 5.
75(5)=375
We subtract all of the numbers except for x.
375-76-85-92-63=59
So, you need to earn at least 59 on the next test to achieve an average of at least 75.
Have a wonderful day! :D
Answer:
(1,-12)
Step-by-step explanation:
-10+5y=-50
5y=-60
y=-12
10x-60=-50
10x=10
x=1
Answer:
B. (0,9)
Step-by-step explanation:
Start the point on (4,3), and becasue the slope is -3/2 you do rise over run. so you could go up 3 and left 2 or down 3 and right 2. i went up 3 and left to twice from point (4,3) and arrived at point (0,9). so the answer is B. (0,9)
Harvey is 3 times as old as Jane."
<span>h = 3j </span>
<span>"The sum of their ages is 48 years." </span>
<span>h + j = 48 </span>
<span>substitution </span>
<span>(3j) + j = 48 </span>
<span>4j = 48 </span>
<span>j = 12 </span>
<span>h = 3j = 36</span>