In the figure below, suppose mZ1=96° and mZ4=37º. 3
4
Complete the statements below.
The sum of the interior angle measures of a triangle must be lº.
So, mZ1+mZ2+mL4= lº.
We are given that m4=37º.
So, mZ1+m_2= °.
From the figure, we can see that mZ3+ m2 4= ].
Since mZ4=37°, it must be that m3= °.
Therefore, mZ3 ? v m2 1+ m2 2.
This result is an example of the Exterior Angle Property of Triangles.
For any triangle, the measure of an exterior angle
Choose one
equals the sum of the measures of its two remote interior angles.
is greater than the sum of the measures of its two remote interior angles.
is less than the sum of the measures of its two remote interior angles.
Спеск

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

a

step-by-step explanation:

strong negative correlation

13cm

step-by-step explanation:

(apex)