Answer/Step-by-step explanation:
Museum and Worship center => alternate exterior angles (E)
Rationale: they are exterior angles positioned in opposite sides of the transversal
Bank and Day Care => Alternate Interior Angles (A)
Rationale: they are interior angles positioned opposite each other on each side of the transversal
Park and Coffee shop => vertical angles (D)
Rationale: They are angle pairs formed by the interception of two straight lines
Fire Station and Worship Center => linear pair (F)
Rationale: They are angles on a straight line
Community Center and Day Care => consecutive interior angles (B)
They are interior angles that lie in the same side of the transversal
Bank and Museum => Corresponding Angles (C)
Rationale: they have the same matching corners
<span>Well, 8 * 43 = 344:
Word from- Eight * forty-three = three hundred forty-four
Expanded form- 300+40+4
</span>
Let point A (x₁, y₁) and point B (x₂, y₂)
Mid-point formula is given by:
![[ \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}]](https://tex.z-dn.net/?f=%5B%20%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%5D%20)
The distance formula is given by:

The two formula are alike because they both need the information of two coordinate points
They are different because the mid point formula is adding up then divide by two, whereas the distance formula is subtracting then square the answer.
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Real life problem involving distance formula:
Plane A is spotted on a radar with cartesian coordinate (450, 640).
Plane B is spotted on the same radar with cartesian coordinate (350, 540)
Work out the distance between plane A and plane B.
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Real life problem involving mid point formula
Ms. Holland arranges a treasure hunt for a group of scouts. She marks two points, C and D, with cartesian coordinate (-5, 6) and (7, 10) respectively. The clue is that the treasure is buried in the middle point between C and D. Work out the coordinate where the treasure is buried.