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Karolina [17]
3 years ago
13

Find the value of x and y in the triangles below

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

x=9 y=24


Step-by-step explanation:

take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.

which equals 133

subtract 133 from 180 and get 47

then set 5x+2 = 47 because opposite angles are equal to each other

-2 on both sides

5x=45

divide by 5

x=9

then take 3y+1=?

add 47 + 60 =107

180-107=73

3y+1=73

-1 both sides

72

divide by 3

y=24


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Express the product in simplest form.
Dmitry [639]

The product in simplest form is (x - 4)

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{8}{2x+8} \times \frac{x^2-16}{4}

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

a^2-b^2=(a+b)(a-b)

Therefore,

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Substitute these in given expression

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}

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\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4

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Step-by-step explanation:

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Step-by-step explanation:

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