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:
see below
Step-by-step explanation:
27.
We can use ratios to solve
152 dollars 532 dollars
---------------- = ----------------
4 days x days
Using cross products
152x = 4*532
152x =2128
Divide each side by 152
152x/152 = 2128/152
x =14
14 days
29.
1 inch 2/3 inches
------------ = ----------------
6.5 ft x ft
Using cross products
1x = 2/3 * 6.5
x = 4.333333
c = 4 1/3 ft
Answer:
283.3%
Step-by-step explanation:
6.8 divided by 2.4 = 2.83333333333
2.8333 x 100 = 283.33
= 283.3%
Answer:
D is the correct answer
Step-by-step explanation:
Given:
Unit base price: $435
Credit Card interest rate, i = 9.4% compounded monthly; i = 0.00783/month comp monthly
n = 1.5 years = 18 months
sales tax = 8.51%
First, determine the actual price of the unit by adding the sales tax to the base price of the unit:
$435 * (1 + 0.0851)
Actual price = $472.0185
So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:
F = P (1+i)^n
F = $507.96
Therefore, the total amount paid by Brian is $507.96.
(Hope this helps can I pls have brainlist (crown) ☺️)
Answer:
75
Step-by-step explanation:
75+88+34+88+64+101 =450
450/6 = 75
add each week together, then divide by the total number of weeks