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:
<u>5</u> is the GCF
Step-by-step explanation:
The factors of 35 are: 1,5,7,35
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 25 are: 1, 5, 25
The highest or greatest factors that all of them have in common is 5.
Answer:
Yes, the polygons are similar.
Step-by-step explanation:
A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,
Step 1:
Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.
Step 2:
To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.
And this is why the polygons are similar :)
Answer:
The miles-per-gallon rating of this car is 20.83.
Step-by-step explanation:
This question can be solved by a rule of three.
What is the miles-per-gallon rating of this car?
How many miles for 1 gallon?
4.8 gallons are used for 100 miles. So
4.8 gallons - 100 miles
1 gallon - x miles
The miles-per-gallon rating of this car is 20.83.
Answer:
Option (1)
Step-by-step explanation:
By the property of alternate segment theorem,
"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"
m(∠EFG) = × m(minor arc FG)
minor arc FG = 2m(∠EFG)
= 2(76°)
= 152°
Therefore, Option (1) will be the correct option.