Answer:
50 degrees.
Step-by-step explanation:
The three angles make up a straight line angle which = 180 degrees, so:
C = 180 - 65 - 65
= 50 degrees.
<span>Simplifying
4x2 + -24x + 4y2 + 72y = 76
Reorder the terms:
-24x + 4x2 + 72y + 4y2 = 76
Solving
-24x + 4x2 + 72y + 4y2 = 76
Solving for variable 'x'.
Reorder the terms:
-76 + -24x + 4x2 + 72y + 4y2 = 76 + -76
Combine like terms: 76 + -76 = 0
-76 + -24x + 4x2 + 72y + 4y2 = 0
Factor out the Greatest Common Factor (GCF), '4'.
4(-19 + -6x + x2 + 18y + y2) = 0
Ignore the factor 4.
</span><span>Subproblem 1
Set the factor '(-19 + -6x + x2 + 18y + y2)' equal to zero and attempt to solve:
Simplifying
-19 + -6x + x2 + 18y + y2 = 0
Solving
-19 + -6x + x2 + 18y + y2 = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
The solution to this equation could not be determined.</span>
Answer:
The price of the tv before tax is 410
Step-by-step explanation:
Let x = price of tv before tax
tax = x* 9%
tax = .09x
The total cost is price of tv before tax plus tax
total cost = x + .09x
total cost = 1.09x
446.90 = 1.09x
Divide each side by 1.09
446.90/1.09 = 1.09x/1.09
410 = x
The price of the tv before tax is 410
Answer:
24 and 9
Step-by-step explanation:
Hi there!
Let x be equal to the larger integer.
Let y be equal to the smaller integer.
<u>1) Construct equations</u>
(The sum of two integers is 33)
(The larger is 6 more than twice the smaller)
<u>2) Solve for one of the integer</u>
Isolate x in the first equation

Plug the first equation into the second

Combine like terms

Therefore, the smaller integer is 9.
<u />
<u>3) Solve for the other integer</u>

Plug in y (9)

Therefore, the larger integer is 24.
I hope this helps!