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____ [38]
3 years ago
11

Is it possible for the two triangles described below to be similar? Two angles of one triangle measure 60° and 70°. Two angles o

f the other triangle measure 50° and 80°.
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

  no

Step-by-step explanation:

Similar triangles have angles with the same measures.

  angles in the first triangle are 50°, 60°, 70°.

  angles in the second triangle are 50°, 50°, 80°.

The angles do not have the same values, so the triangles cannot be similar.

_____

<em>Comment on the question</em>

When 2 of the three angles are different, the third angle cannot make the triangles similar. We don't even need to compute the third angle to answer this question.

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Find the value of X for the triangle.
user100 [1]

Answer:

8

Step-by-step explanation:

77+50=127

180-127=53

7x-3=53

7x=53+3

7x=56

x=56/7

x=8

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Factor 18x^2-3x+24x-4
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3x(6x-1)+4(6x-1)

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse
Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}

Removing the proportionality sign and introducing a constant k, we have

\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

y=\frac{-14}{x}

3 0
1 year ago
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