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trapecia [35]
2 years ago
5

Please help!!!!!!!!!!!!!!!!

Mathematics
1 answer:
____ [38]2 years ago
5 0

Answer:

  (i) x° = 28°

  (ii) y° = 104°

  (iii) z° = 76°

Step-by-step explanation:

x° is an alternate interior angle where transversal PQ crosses the parallel lines, so it has the same measure as the one marked 28°.

  x° = 28°

__

The base angles of isosceles triangle PQR are both z°, so we must have ...

  z° +z° +28° = 180° . . . . . . . . . sum of angles in a triangle

  z° = (180° -28°)/2 = 152°/2 . . . solve for z

  z° = 76°

__

y° and z° are a linear pair, so ...

  y° = 180° -76°

  y° = 104°

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Use the figure to the right to find the value of PT. T is the midpoint of PQ. PT = 7x + 2 and TQ = 9x - 6 PT = = (Simplify your
Llana [10]

Answer:

30

Step-by-step explanation:

PT = TQ

PT = 7x + 2

TQ = 9x - 6

7x + 2 = 9x - 6

9x - 6 = 7x + 2

9x - 7x = 2 + 6

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x = 8 / 2

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Substitute x = 4 in PT,

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5 0
3 years ago
What is the surface area of the right cylinder below?
IgorLugansk [536]

Answer:

Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd

C=3.14*18

C=56.52

now we have to multiple this by the height of two

113.04

now we have to find the area of the bottom to do this we do A=πR^2

A=3.14*81

A=254.34

multiple this by two for the two sides we get

508.68

now we add this to 113.04 we get

621.72

since I used 3.14 instead of more digits of pie we can round this up so the answer is C.

Your Welcome

BIFFY OUT!!!

8 0
2 years ago
Plzzzzzss answer quickly !!!!!
xz_007 [3.2K]

Answer:

3.3 m

Step-by-step explanation:

The formula used to solve for leg a of a right triangle is a= sqrt(c^2-b^2). This is replaced by sqrt(6^2-5^2) for your equation. If you work this out, it equals about 3.32, and you have to round it to the nearest tenth, so the answer is 3.3 m.

4 0
3 years ago
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