Show your work 16 = k/11

1 answer:

5 0

16 = k/11

You’re going to need to get K by itself

So you need to multiply 11 on both sides

to remove the denominator of 11

16 x 11 = 176

k/11 x 11 = k

So now the answer would be

176 = k

Hope this helped :)

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△ABC is mapped to △A′B′C′ using each of the given rules.

faltersainse [42]

Answer:

Congruent: (x, y)→(x+3, y-4); (x, y)→(-x, -y)

Not Congruent: (x, y)→(3x, 3y); (x, y)→(0.4x, 0.4y); (x, y)→(x/3, y/3)

Step-by-step explanation:

Transformations that result in congruent figures are translations, rotations and reflections. Translations that result in figures that are <em>not</em> congruent are dilations.

The first transformation, (x, y)→(x+3, y-4) is a translation 3 units to the right and 4 units down. This will result in congruent figures, since it only slides the figure.

The second transformation, (x, y)→(3x, 3y) is a dilation by a factor of 3. A dilation is a stretch or a shrink; a dilation factor of 3 will stretch the figure. Since it is stretched, it is not the same size and therefore not congruent.

The third transformation, (x, y)→(0.4x, 0.4y) is a dilation by a factor of 0.4. This dilation will shrink the figure. Since it is shrunk, it is not the same size and therefore not congruent.

The fourth transformation, (x, y)→(x/3, y/3) is a dilation by a factor of 1/3. This dilation will shrink the figure. Since it is shrunk, it is not the same size and therefore not congruent.

The fifth transformation, (x, y)→(-x, -y) is a reflection. This does not change the size of the figure, just the placement and orientation of it. Since the size is not changed, the figure is congruent.

7 0

3 years ago

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Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much

Nina [5.8K]

The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

$3x+2y=12.5$