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user100 [1]
2 years ago
5

On a number​ line, the coordinates of​ X, Y,​ Z, and W are ​, ​, ​, and ​, respectively. Find the lengths of the two segments be

low. Then tell whether they are congruent. and The length of is 3. ​(Type an integer or a​ decimal.) The length of is 2. ​(Type an integer or a​ decimal.)
Mathematics
1 answer:
Arturiano [62]2 years ago
3 0

Complete Question:

On a number​ line, the coordinates of​ X, Y,​ Z, and W are −8​, −5​, 4​, and 6​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. \overline{XY} and \overline{ZW}

Answer:

\overline{XY} = 3

\overline{ZW} = 2

They are not congruent

Step-by-step explanation:

Length of segment XY:

Coordinate of X = -8

Coordinate of Y = -5

\overline{XY} = |-8 -(-5)| = |-8 + 5| = 3

Length of ZW:

Coordinate of Z = 4

Coordinate of W = 6

\overline{ZW} = |4 - 6| = 2

\overline{XY} ≠ \overline{ZW}, therefore, they are not congruent.

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You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).

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