HELP PLEASE!!!!!!!!!!!!!!
1 answer:
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Answer:
(3,9)
Step-by-step explanation:
So I drew a right triangle with the line segment A(1,-9) to C as the hypotenuse. This line segment does contain point B(2,0). This is shown in the picture.
We want to find a point C so that AB to BC has a ratio of 1:1. So this means B is the midpoint really.
So if we averaged the endpoints of the line segment it would equate to point B.
That is:
and
Multiply both sides by 2:
and
The first equation can be solved by subtracting 1 on both sides giving .
The second equation can be solved by adding 9 on both sides giving
.
Point C is (3,9).
Question 1:
Angle D and angle E are congruent because they are alternate interior angles. Let's make an equation.
Use the distributive property
Add both sides by 10 and subtract both sides by x
Plus this in and you get 20 for both of them (they're supposed to be congruent).
Your answer is the first choice.
Question 2:
Use the sine. The sine is the opposite leg divided by the hypotenuse. Divide the sine from 400 to get our answer.
Your answer is the third choice.
Question 3:
Use the tangent. The tangent is the opposite side divided by the adjacent. Divide 203 by the tangent of 22 degrees.
Your answer is the third choice. I hope this helps! :)
Angle D and angle E are congruent because they are alternate interior angles. Let's make an equation.
Use the distributive property
Add both sides by 10 and subtract both sides by x
Plus this in and you get 20 for both of them (they're supposed to be congruent).
Your answer is the first choice.
Question 2:
Use the sine. The sine is the opposite leg divided by the hypotenuse. Divide the sine from 400 to get our answer.
Your answer is the third choice.
Question 3:
Use the tangent. The tangent is the opposite side divided by the adjacent. Divide 203 by the tangent of 22 degrees.
Your answer is the third choice. I hope this helps! :)