Let x represent the smaller angle.
Let y represent the larger angle.
The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.
Substitute

into


After substituting, you get

Now, combine the x's

Subtract both sides by 5

Divide both sides by 5.

Now, we can solve for y using the equation

since we know the value of x.

Subtract both sides by 35.

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
Answer:
2345 units^2
Step-by-step explanation:
First, you can use Soh Cah Toa to find line c to be 36*sqrt(2). Furthermore, you can use the same equation to find the other sides to be both 65.15. To further solve, you just need to multiply 65.15 by 36 to get a final answer of 2,345.4 units^2
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Answer:
The amount of money Angelica will have at the end of five weeks if d = $25 is $175.
Step-by-step explanation:
The given information are;
The allowance Angelica earns for baby sitting = d dollars per week
The amount she receives as allowance = $10 per week
The amount she will have at the end of 5 weeks = (10 + d)·5
The amount, A, of money Angelica will have at the end of five weeks if d = $25 is given as follows;
A = (10 + 25) × 5 = $175
The amount of money Angelica will have at the end of five weeks if d = $25 is $175.
Answer:
384m
Step-by-step explanation:
24 x 4 = 96
96 x 4 = 384
The rise is 2 and the run is 3