<span>a = (90-a)/2 - 18
this means that the angle equals half its complement minus 18 degrees.
this means the same as the angle equals 18 degrees less than half its complement.
solve for a.
equation is:
a = (90-a)/2 - 18
simplify by removing parentheses to get:
a = 90/2 - a/2 - 18
simplify further to get:
a = 45 - a/2 - 18
combine like terms to get:
a = 27 - a/2
add a/2 to both sides to get:
a + a/2 = 27
multiply both sides of the equation by 2 to get:
2a + a = 54
combine like terms to get
3a = 54
divide both sides of the equation by 3 to get:
a = 18
your answer should be that the angle is equal to 18 degrees.
if the angle is 18 degrees, then its complement is equal to 90 - 18 = 72 degrees.
half its complement is equal to half of 72 is equal to 36 degrees
18 degrees less than that is equal to 36 - 18 is equal to 18 degrees.
Your answer is that the measure of the angle is 18 degrees.</span>
Answer:
The number of cats at the shelter on Friday was 20.
Step-by-step explanation:
Hi there!
Let "x" be the number of cats and "y" the number of dogs.
The shelter spends $2 per cat and $7 per dog. If the total expenses on Friday was $82, then, two times the number of cats plus seven times the number of dogs is equal to 82:
2x + 7y = 82
We also know that the total number of cats and dogs was 26. Then, the number of cats plus the number of dogs is equal to 26:
x + y = 26
Let´s solve this equation for y and replace it in the first equation
y = 26 - x
Then:
2x + 7(26 - x) = 82
Apply distributive property:
2x + 182 - 7x = 82
Subtract 182 to both sides of the equation:
-5x = -100
divide both sides of the equation by -5
x = 20
The number of cats at the shelter on Friday was 20.
Have a nice day!
The correct answer would be D. because if the equation has a y-intercept (+4) than the line doesn't go through the origin.
5 less = 5 minus
one forth of x = 1/4x
is y = =y
5-1/4x =y
Answer:
A & D
Step-by-step explanation:
The parabola opens up, so the minimum value of y is at the point (1, -2) and the graph passes thru the x-axis at 3 and -1, so those are the x-intercepts.
The axis of symmetry is x = 1, not y = -2 and the graph never has a maximum value. Parabolas that open up never have a maximum value.