Complementary angles = 90°
x= angle 1
(90-x)= angle 2
Subtract the two angles to get the difference between them (18°).
(90-x) - x= 18
combine like terms
90 - 2x= 18
subtract 90 from both sides
-2x= -72
divide both sides by -2
x= 36° angle 1
Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2
Hope this helps! :)
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.Housing $612
Food $238
Transportation $370
What is the problem with this budget?
The answer is => She has allotted more than 36% of her income for housing
Answer:
Not proportional.
Step-by-step explanation:
The butterfly method multiples it like a butterfly. Ex. 5 times 3 is 15. 8 times 2 is 16. Therefore, not proportional.
By flipping the fraction of -3/7, you will get the fraction of -7/3 or - 2 1/3.
Therefore, the reciprocal of -3/7 is - 2 1/3.
Hope this helps!
