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11Alexandr11 [23.1K]
3 years ago
12

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

Step-by-step explanation:

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I need help in these questions
Salsk061 [2.6K]

Answer:

see explanation

Step-by-step explanation:

All of these questions use the external angle theorem, that is

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

18

∠3 = 43° + 22° = 65°

19

∠2 + 71 = 92 ( subtract 71 from both sides )

∠2 = 21°

20

90 + ∠4 = 123 ( subtract 90 from both sides )

∠4 = 33°

21

2x - 15 + x - 5 = 148

3x - 20 = 148 ( add 20 to both sides )

3x = 168 ( divide both sides by 3 )

x = 56

Hence ∠ABC = x - 5 = 56 - 5 = 51°

22

2x + 27 + 2x - 11 = 100

4x + 16 = 100 ( subtract 16 from both sides )

4x = 84 ( divide both sides by 4 )

x = 21

Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°

3 0
4 years ago
A number of eggs ,e, divide by 12
Arada [10]
1÷[email protected]
6 0
4 years ago
What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?
kaheart [24]

Answer:

Step-by-step explanation:

x^2-6=16x+30\\\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}\\x^2-6-30=16x+30-30\\Simplify\\x^2-36=16x\\\mathrm{Subtract\:}16x\mathrm{\:from\:both\:sides}\\x^2-36-16x=16x-16x\\\Simplify\\x^2-16x-36=0

5 0
3 years ago
How to find the surface area of a cylinder
Finger [1]

Answer:

measure it

Step-by-step explanation:

Greg a tape measure and measure it

4 0
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Solve 2x-4 = -2-2+2x<br> and <br> Solve 5x-9 = 8+5x
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1. 0=0

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Step-by-step explanation:

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