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3 years ago

Identify the scale factor when we scale up from Figure S to T. Just write the number.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer:

Scale factor = 4

Step-by-step explanation:

Scale factor = $\frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}$

Since, S is being dilated with a scale factor to form T,

So, the figure S is the preimage and figure T will be the image,

Length of one side of image T = 8

Length of one side of preimage = 2

Therefore, Scale factor = $\frac{8}{2}$

= 4

Scale factor by which figure S has been dilated to form figure T is 4.

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Two interior angles in a triangle measure 101 degrees and 34 degrees. What is the measure of the third angle?

Colt1911 [192]

All the angles in a triangle equal 180 degrees.

So,

101+34+x=180

x= the missing angle.

135+x=180

Subtract both sides by 135.

x= 45

The missing angle equals 45 degrees.

I hope this helps!
~kaikers

5 0

3 years ago

Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool

Dmitriy789 [7]

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

8 0

3 years ago

Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt%20-25" id="TexFormula1" title="\sqrt -25" alt="\sqrt -25" align="absmiddle" c

garik1379 [7]

Answer:

5i

Step-by-step explanation:

= $\sqrt{-1 * 25}$
= $\sqrt{-1}\sqrt{25}$
= $\sqrt{-1}$ * 5

Rule: $\sqrt{-1}$ = i

So you get i * 5 = 5i

5 0

3 years ago

If x = 7+3 root 5 by 7 - 3 root 5 , find the value of x^2 + 1 by x^2

Vesnalui [34]

Answer:

6 because why not

Step-by-step explanation:

6 0

2 years ago

The picture below shows a pole and its shadow:

Angelina_Jolie [31]

The answer is 112 centimeters.

As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.

h = √113² - 15²
h = √12769 - 225
h = √12544
h = 112 centimeters

8 0

2 years ago