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Andrej [43]
3 years ago
7

PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if c= a + b.

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The opposite sides of a parallelogram are parallel and congruent, thus

SR = PQ , that is

8a - 4 = 6a + 10 ( subtract 6a from both sides )

2a - 4 = 10 ( add 4 to both sides )

2a = 14 ( divide both sides by 2 )

a = 7

In a parallelogram consecutive angles are supplementary, thus

∠ P + ∠ Q = 180, that is

18b - 11 + 9b + 2 = 180, that is

27b - 9 = 180 ( add 9 to both sides )

27b = 189 ( divide both sides by 27 )

b = 7

Thus c = a + b = 7 + 7 = 14 → B

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Write an equation in point-slope form of the line that passes through the point (9, 0) and has a slope of m=−3
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Answer:

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Step-by-step explanation:

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Hope this helps!

7 0
3 years ago
3. i) Determine the volume of the cylinder above to the nearest cubic centimetre. (3 points)​
klemol [59]

Answer:

1480cm³

Step-by-step explanation:

The Equation for the Volume of a Cylinder is V=Bh, where B is the area of the circle (A= πr²).

We are given all of the things we need, we just have to plug them into the equation.

First let's find B using the radius(r) which is given to be 6.4cm, so B=πr²

B=π(6.4cm)²

Plug that into a calculator to get 128.6796351cm²

Now we can plug that into the original equation, V=Bh.

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h is also given to be 11.5cm, so lets plug that in.

V=(128.6796351cm²)(11.5cm)

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Answer:

b = 3/4

Step-by-step explanation:

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10 *3/40 = 10* 1/10 b

3/4 = b

3 0
2 years ago
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