3 years ago

Why is triangle MNL and KNL the same?

Mathematics

1 answer:

irinina [24]3 years ago

5 0

They are the same because both triangles have the same every to the other triangle.

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Given the equation y=3(2)* + 2, what is the value of y when x = 4?

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Step-by-step explanation:

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It takes a jet 2 hours to fly 1,000 miles. At this rate, how far does it fly in 8 hours?

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3 years ago

How can you use mental math to find 195 × 6?

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Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co

Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle ( $p$ ) is:

$p = 2\cdot b + 2\cdot h$ (1)

Where:

$b$ - Base of the rectangle.

$h$ - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

$b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}$

$b = 5$

If we know that $p = 18$ and $b = 5$ , then the height of the rectangle is:

$2\cdot h = p-2\cdot b$

$h = \frac{p-2\cdot b}{2}$

$h = \frac{p}{2}-b$

$h = 4$

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

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3 years ago

Last month, a car dealership sold 80 cars. Of all the cars sold, 15% of them were red. How many cars that were sold were red?

horsena [70]

Answer:

12 red cars

Step-by-step explanation:

15% is 0.15

So, you do 80 × 0.15, which is 12.

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3 years ago