Both angles will equal 180, as there is a line bisecting line AB to create the two angles.
Set up the following equation to have both angles equal 180:


Combine like terms:



Subtract 12 from both sides:

Divide both sides by 2:

We now know the value of x, so plug it into the equation we set up:


An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.
The obtuse angle is
119 degrees wide.
From what I can infer, the numbers represent Money and therefore the person who had the higher number made more money mowing lawns which would be Jessica because 1,449 is more than 1,393.
She has 27 dimes and 15 nickles. there are 10 dimes in a dollar each worth 10 cents. two dollars and 70 cents so that would be 20 dimes in two dollars and 7 dimes is equal to 70 cents.
We need to solve for x by completing the square of the given mathematical expression (x+7)(x-9) = 25.
First, we need to perform multiplication of (x+7) and (x-9) such as the expression become:
(x+7) (x-9) = 25
x² -9x +7x -63 = 25
x² - 2x = 25 + 63
Then perform addition of constant values 25 and 63
x² - 2x =88
Add +1 in both sides to complete the expression such as:
x² - 2x +1 = 88 +1
(x-1)(x-1) = 89
(x-1)² = 89
We see that (x-1) is a perfect square, we can now solve for the value of x such as:
(x-1) = +-√89
x1 = +√89 + 1
x1 = 10.4
x2 = -√89 +1
x2 = -8.4
The answers are 10.4 and -8.4.
Answer:

Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

is any integer value.
The value of
cannot exceed 1 or be less than 0, because the value of
must be between 0 and 360 degrees.



