hope it helps..explanation..
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 8 inches and a height of 3 inches. How muc
1 answer:
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Answer:
Polygon Y's area is one ninth (1/9) of Polygon X's area
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem
Let
z-----> the scale factor
a-----> Polygon Y's area
b----> Polygon X's area
we have
substitute
therefore
Polygon Y's area is one ninth (1/9) of Polygon X's area
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! :)
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
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
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:
Option C,
Step-by-step explanation:
We can find the correct answer by plugging in the x and y values of a point on the graph into each option, then finding the one that gives a true statement as a result.
For example, one point on the graph is (30,4). We can substitute 30 for the x and 4 for the y in option C's equation, . Then, simplify:
4 does equal 4, so when we substitute a point from the graph into this equation, the result is a true statement. Thus, option C is the answer.