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Anni [7]
4 years ago
5

List the sides of triangle WXY in order from smallest to largest.

Mathematics
1 answer:
nataly862011 [7]4 years ago
6 0

Answer:

Using the relation between angles and sides of any triangle the answer is:

Third option: WX, XY, YW

Step-by-step explanation:

<X=90° (right angle)

<W=51°

<Y=?

The sum of the interior angles of any triangle is 180°, then:

<W+<X+<Y=180°

Replacing the given values:

51°+90°+<Y=180°

141°+<Y=180°

Solving for <Y: Subtracting 141° both sides of the equation:

141°+<Y-141°=180°-141°

<Y=39°

The order of the angles from smallest to largest is:

<Y=39°, <W=51°, <X=90°

The opposite sides to these angles must be ordered in the same way:

Opposite side to <Y: WX

Opposite side to <W: XY

Opposite side to <X: YW

Then the order of the sides from smallest to largest is:

WX, XY, YW

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Which expressions are equivalent to 2(4f+2g)
Vladimir [108]

Answer:

Option (a) and (d) are correct .

An equivalent expression to the given expression  2(4f + 2g) is  8f + 4g

and 4 (2f + g)

Step-by-step explanation:

Given: Expression 2(4f + 2g)

We have to choose an equivalent expression to the given expression  2(4f + 2g)

Consider the given expression 2(4f + 2g)  

Apply Distributive property, \:a\left(b+c\right)=ab+ac

We have,

a = 2, b = 4f and c = 2g

2(4f + 2g) = 8f + 4g

Now, take 4 common from each term, we have,

8f + 4f = 4 (2f + g)

Thus, an equivalent expression to the given expression  2(4f + 2g) is  8f + 4g and 4 (2f + g)

8 0
3 years ago
Read 2 more answers
Find the value of the variable a^2=1/25
lesantik [10]

Answer:

A=.2

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4 0
4 years ago
The volumes of two solids are 135 in3 and 625 in3. Find the similarity ratio.
ludmilkaskok [199]
Formula for ration:

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\text {Ratio = }   \sqrt[3]{\dfrac{135}{625} }  = \sqrt[3]{\dfrac{27}{125} }  =  \dfrac{3}{5}


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4 years ago
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