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3 years ago

Can someone please help me with this question:)

Mathematics

1 answer:

AlladinOne [14]3 years ago

5 0

Answer:

x = 12 and y = 24 Can I get brainiiest

Step-by-step explanation:

We know (3x + 34) and (2x + 46) are vertical to each other so they equal the same measure. We will solve it like this.

3x + 34 = 2x + 46 (subtract 34 on each side)

3x = 2x + 12 (subtract 2x on both sides)

x = 12

Now plug in

3(12) + 34 = 2(12) + 46

36 + 34 = 24 + 46

70 = 70

Now all you have to do is do the other pair of angle

4y + 14 + 70 = 180 (we are using what we already know about 70)

(collect like terms)

4y + 84 = 180 (subtract 84 on both sides)

4y = 76 (divide by 4)

y = 24

(plug in)

4(24) + 14 = 6(24) - 34

96 + 14 = 144 - 34

110 = 110

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2 years ago

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Arturiano [62]

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$v=364.5\ m^3$

Step-by-step explanation:

Volume Of A Regular Solid

When a solid has a constant cross-section, the volume can be found by multiplying the area of the base by the height. The area of a trapezium is

$\displaystyle A_t=\frac{b_1+b_2}{2}h$

where $b_1$ and $b_2$ are the lengths of the parallel sides and h the distance between them.

The figure shows a solid with a trapezoid as the constant cross-section and a height x. The volume of the solid is

$\displaystyle v=A_t\ x$

$\displaystyle v=\frac{b_1+b_2}{2}\ h\ x$

The image doesn't explicitly say if the length of 4.5 is the height of the trapezium or the length of that side. We'll assume the first, so our data is:

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$\displaystyle v=\frac{7+11}{2}.(4.5)(9)=364.5$

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