Please help thank you!
1 answer:
Question 1:
Look at the image.
First, we graph the points on a grid.
Then, we find the perpendicular bisectors and find where they intersect.
They intersect on the circumcenter of the triangle.
The circumcenter is (5,3)
Question 2:
The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.
Question 3:
The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.
Have an awesome day! :)
Look at the image.
First, we graph the points on a grid.
Then, we find the perpendicular bisectors and find where they intersect.
They intersect on the circumcenter of the triangle.
The circumcenter is (5,3)
Question 2:
The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.
Question 3:
The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.
Have an awesome day! :)
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We need to account for both x values on either side of the length, and width.
Thus, the length becomes 10 + x + x = 10 + 2x
and the width becomes 5 + x + x = 5 + 2x
For the second question, I'm assuming we don't account for the area that is covered by the garden.
Then we can say that the path is measured by: (5 + 2x)(10 + 2x) - 50, which is the area of the garden itself.
(5 + 2x)(10 + 2x) - 50 = 54
Expanding the brackets:
x = -9, or x = 3/2
Since x > 0, then x ≠ -9
Thus, the only x-value we can take is x = 3/2
Thus, the length becomes 10 + x + x = 10 + 2x
and the width becomes 5 + x + x = 5 + 2x
For the second question, I'm assuming we don't account for the area that is covered by the garden.
Then we can say that the path is measured by: (5 + 2x)(10 + 2x) - 50, which is the area of the garden itself.
(5 + 2x)(10 + 2x) - 50 = 54
Expanding the brackets:
x = -9, or x = 3/2
Since x > 0, then x ≠ -9
Thus, the only x-value we can take is x = 3/2
Answer:
the unit rate for miles per gallons =
Step-by-step explanation:
Let x be the unit rate for miles per gallon.
Given:
Jack drove 43.5 miles. He used 11 gallons of gasoline.
Find the unit rate for miles per gallon?
Jack used 11 gallons of gasoline for 43.5 miles.
11 gallons = 43.5 miles
The unit rate for miles per gallon is
unit rate of gallons = total miles divided by total used gallons of gasoline
Therefore, the unit rate for miles per gallons is 3.95 miles.