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3 years ago

In the figure below, triangle ABC is similar to triangle PQR, as shown below:

Mathematics

2 answers:

HACTEHA [7]3 years ago

8 0

Angle A is congruent to angle P and angle C is congruent to angle R.
Triangle ABC is similar to triangle PQR

AB = 16 and BC = 20
QR = 80, PQ = ?

AB/BC = PQ/QR
16/20 = PQ/80
PQ = 80 * 16 / 20
PQ = 64

son4ous [18]3 years ago

7 0

Answer:

pq= 64

Step-by-step explanation:

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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

$y=\frac{-14}{x}$

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1 year ago

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Dafna1 [17]

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3 years ago

HELPP PLEASE ASAP Use the Pythagorean theorem to find the missing length in the right triangle

qwelly [4]

Answer:

c = 10

Step-by-step explanation:

The pythagoras theorem :

a² + b² = c²

a = 6 and b = 8

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harkovskaia [24]

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