Answer:
Linear Pair:
∠ 1 and ∠ 2
Vertical Angles:
∠ 1 and ∠ 3
Supplementary Angles:
∠ 7 and ∠ 6
Step-by-step explanation:
Linear Pair:
A linear pair of angles is formed when two lines intersect.
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Example
∠ 1 and ∠ 2 ∠ 8 and ∠ 5 ,etc
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
Example
∠ 1 and ∠ 3 ∠ 8 and ∠ 6 ,etc
Supplementary Angles:
Two Angles are Supplementary when they add up to 180 degrees.
Examples two angles (140° and 40°)
All Linear pair are Supplementary angles
Example
∠ 7 and ∠ 6 ∠ 8 and ∠ 5 ,etc
Is it either C or D not 100% but it is one of those hope this helped
Answer:
<h3>The option B) is correct</h3><h3>Therefore the coordinate of B

is (6,-3)</h3>
Step-by-step explanation:
Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).
<h3>To Find the coordinates of point B:</h3>
- Let the coordinate of A be
is (2,7) respectively - Let the coordinate of B be

- And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
- The mid-point formula is
<h3>

</h3>
- Now substitute the coordinates int he above formula we get

- Now equating we get

Multiply by 2 we get Multiply by 2 we get


Subtracting 2 on both
the sides Subtracting 7 on both the sides


Rewritting the above equation Rewritting the equation

<h3>Therefore the coordinate of B

is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>
Answer:
Part 1) The trapezoid has an area of 
Part 2) The kite has an area of
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of 
The kite has an area of
so

therefore
The area of the trapezoid is less than the area of the kite
Answer:
Given expression has the value 69
Step-by-step explanation:
Given equation is:

Now we have to put x = 3
So the equation will become:

By simplifying:
As 
and 2*3 = 6
So the above equation will become:

So the value of given expression is 69.
i hope it will help you!