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!! geometry!! find xz. a)10 b) 25 c)55 d) 101.25

!! geometry!! find xz. a)10 b) 25 c)55 d) 101.25-example-1
User Katheryne
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2 Answers

5 votes

Answer:. c.) 55 is the length of side xz

Step-by-step explanation: From geometry, you see from the tic marks on the arcs xz and yz that they are equal. If the arcs are equal, the chords and angles that inscribe the arcs are equal.

Then use algebra to create an equation with the expressions given for the lengths:

6x +10 = 8x -5

15 = 2x

x = 7.5 Substitute for x in the expressions:

6(7.5)+10 = 8(7.5) - 5

45+10 = 60 - 5

55 = 55 Solved!

If it's the length of the arc, that's a different question.

User Jarek
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4.3k points
2 votes

Answer:

d

Explanation:

all of the sides add to 360°. so set all the sides equal to 360.

10x- 10 + 6x+ 10 + 8x -5 = 360. this simplifies to

24x -5 = 360 which equals

24x = 365

then divide each side by 24 which equals approx 15.20833

then plug in this number for x in 6x + 10 (xz)

this equals 101.25

User Matt Jensen
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4.8k points