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3 years ago

15 POINTS !!

2 answers:

4 0

The scale factor is 0.25, not 4 in this case. You can determine this by looking at the comparison of the triangles. The first triangle is 4.4 and the second one is 1.1, so the scale factor is determined by looking at what is happening to the first one to result in the second.

0.25 is 1/4. The second hypotenuse is 1/4 the hypotenuse of the first one.

r-ruslan [8.4K]3 years ago

4 0

Answer: 0.25 is true, so 4 is false.

Scale factor = new size/ original size

scale factor = 1.1 ÷ 4.4

scale factor = 0.25

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Find LN in the image below .

Anarel [89]

Answer:

Step-by-step explanation:

We see that MP and PL are congruent, as are MQ and QN. Using scale factors, we can conclude that the scale factor from MP to ML is 1:2.

Based on SAS similarity, MPQ and MLN are similar, so their sides are proportional.

6 0

3 years ago

What is the equation of a vertical ellipse with a major axis= 20 and a minor axis = 14?

Sunny_sXe [5.5K]

$\bold{\text{Answer: b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}$

<u>Step-by-step explanation:</u>

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is: $\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$ where

(h, k) is the center of the ellipse
a is the x-radius
b is the y-radius

Given: a = 7, b = 10

Assume: (h, k) = (0, 0)

$\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1$

6 0

2 years ago

Someone, please! lend me a hand I'm confused

bija089 [108]

I believe the answer is B.

7 0

2 years ago

I need these answers please

Elenna [48]

The first one is a hexagon because it has 6 sides. The second figure is a heptagon because it has 7 sides.

I hope this helped!

5 0

2 years ago

The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p

Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

$A + B = 80$

Then the total amount of pure fruit juice in the mixture will be:

$0.55A + 0.8B = 0.65 * 80$

$0.55A + 0.8B = 52$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

$-0.8A -0.8B = -0.8*80$