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REY [17]
3 years ago
11

3. Two quantities, x and y, are in a

Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer:

y = x + 1.8

Step-by-step explanation:

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exis [7]

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2x^2-6x^4-2

Step-by-step explanation:

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Solve the equation 4/8y=8/3 for y
Solnce55 [7]

Answer:

y = \frac{16}{3}

Step-by-step explanation:

In order to solve for y, you need to isolate the y in the equation. Thus, to get rid of the \frac{4}{8} multiplied by the y, multiply both sides by the reciprocal, \frac{8}{4}. Then, reduce the fraction.

\frac{4}{8} y = \frac{8}{3} \\(\frac{8}{4} )\frac{4}{8} y = \frac{8}{3} (\frac{8}{4})\\y = \frac{64}{12} \\y = \frac{16}{3}

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3 years ago
A client has asked you to put together a quote for converting their Oast House.
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3 years ago
Find the measure of angles X and Y, as well as the values of x and y:
kotegsom [21]

Answer:

Step-by-step explanation:

By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other  because of this:

6y - 2 = 4x + 20

But we have a problem because we have 2 unknowns.

Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that

52 + 6y - 2 + 4x + 20 = 180.

But we STILL have a problem with those 2 unknowns. BUT...

If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20.  We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:

52 + 2(4x + 20) = 180 and

52 + 8x + 40 = 180 and

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x = 11.

That means that

4(11) + 20 = 64 which is the measure of both angles X and Y.

Let's check:

64 + 64 + 52 better equal 180. And it does, so we're good.

The value of x is found this way:

4x + 20 = 64 and

4x = 44 so

x = 11 which we already knew. Now for y:

6y - 2 = 64 and

6y = 66 and

y = 11 also.

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