This problem involves knowing the sum of angles in a triangle as well as the sum of supplementary angles. In any triangle, the sum of all the angles will always add up to 180°. Supplementary angles add up to 180° and form a straight line. In order to solve for 'x', we must set up an equation where the sum of the angles is equal to 180°. Since the last angle of the triangle is not given, but we know that the value will be equal to 180 - (14x + 1), we can simplify this to 180 - 14x -1 or 179 - 14x. We also know that this angle plus the other two angles of the triangle will add up to 180:

89 + 179 - 14x + 5x - 7 = 180

Combine like terms: 261 - 9x = 180

Inverse operations: 261 - 261 - 9x = 180 - 261 or -9x = -81

Solve for x: x = 9

8 0

3 years ago

What is the solution to the system of linear equations below? 2/5x−y=6 −2x+5y=−30 Select one: A. (-13, 14) B. (-5, -8) C. no sol

tester [92]

Answer:

D. Infinitely many solutions

Step-by-step explanation:

$-\frac{2}{5}x-y=6 | -2x+5y=-30$

1.Since neither equation contains an isolated. However, we can isolate -y in the first equation by adding $\frac{2}{5}x$ to both sides.

Like this: $\frac{2}{5}x-\frac{2}{5}x-y=6-\frac{2}{5}x$

ending up with $y=6-\frac{2}{5}x$

2.Now, we can change y to a positive y. By doing so, we divide -y by the entire equation.

Like this $\frac{-y=6-\frac{2}{5}x }{-y}$

Ending with $y=-6+\frac{2}{5}x$

3.Now, we can plug the expression $-6+\frac{2}{5}x$ into the second equation as a substitute for y, and solve for x. Then, we can use x to calculate y.

Like this $-2x+5(-6+\frac{2}{5}x)=-30\\ -2x-30+2x=-30\\$

4. Since -2x+2x would cancel out and leave -30=-30. This is true because we know -30 equals -30 with no variable in sight.

3 0

3 years ago

Tina Avallone and her husband are buying a $219,000 home. Their annual housing expenses are: mortgage payments, $15,400; real es

joja [24]

Answer:

the answer is actually is $2,258.33

Step-by-step explanation:

3 0

4 years ago