Answer:
18° and 72°
Step-by-step explanation:
let x be the measure of one angle then the other is 3x + 18
The sum of the 2 complementary angles = 90°, hence
x + 3x + 18 = 90
4x + 18 = 90 ( subtract 18 from both sides )
4x = 72 ( divide both sides by 4 )
x = 18
the 2 angles are 18° and (3 × 18 ) + 18 = 72°
Answer: an infinite amount of answers
Step-by-step explanation:
It’s all real numbers from negative infinity to positive infinity
Answer:
x = -18
y = 4
Step-by-step explanation:
x + y = 4
2x + 3y = 30
You can do any math operation to each side of the equal sign as long as you do the same operation to both sides.
change x + y = 4 to x = 4 - y
Now substitute (4 - y) into the second equation, in place of x.
2(4-y) + 3y = 30
multiply the 2(4-y) part:
8 -2y + 3y = 30
simplify:
8 + y = 30
subtract 8 from each side:
y = 22
now substitute the value of y back into the first equation to solve for x:
x + 22 = 4
subtract 22 from both sides:
x = -18
Check:
x + y = 4
22 -18 = 4
4 = 4 (this checks)
2(-18) + 3(22) = 30
-36 + 66 = 30
30 =30 (this checks also)
PS: you could have solved for y first if you had wanted to. The results would be the same.
Answer:
9/11
Step-by-step explanation:
The answer is 
You just need to put the pieces together: you are given the number (although expressed through unknowns) of two subsets that, combined together, compose the whole set you're interested in.
So, if you split all the children between boys and girls, and you know how many boys and girls are at the camp, then you just need to put the boys and girls together again to get the whole number.
And numerically, "putting numbers together" means to add them, hence the answer.