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4 years ago

Which step should be used to prove that point P is equidistant from points R and Q

Mathematics

1 answer:

nydimaria [60]4 years ago

6 0

Step-by-step explanation:

1. If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.

2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

3. In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.

4. In triangles PRS and PQS, all three angles are equal.

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Arte-miy333 [17]

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2 years ago

Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 custom

bagirrra123 [75]

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

$y =mx+c$

Slope of a function:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500$

So, the equation is:

$y =-500x+c$

Putting x = 20, y = 5000:

$5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000$

$\Rightarrow \bold{y =-500x+15000}$

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

$-500 \times 18 +15000 = -9000+15000 = 6000$ so, it is true.

So, the answer is:

The best fit is A. Linear model

6 0

4 years ago

Austin consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Austin's bod

Olegator [25]

Answer:

5-hour: 0.5277
1-hour: 0.8800

Step-by-step explanation:

The decay factor for time t can be written as ...

0.2785^(t/10)

Then the 5-hour decay factor is ...

0.2785^(5/10) ≈ 0.5277

and the 1-hour decay factor is ...

0.2785^(1/10) ≈ 0.8800

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3 years ago

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elena-s [515]

Answer:

84 because each bag of chips is 1.5

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3 years ago

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Find m∠X. Need soon THX

Kazeer [188]

Answer:

off of 3890

Step-by-step explanation:

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3 years ago