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Simora [160]
3 years ago
13

Triangle P is similar to triangle Q. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each t

riangle?

Mathematics
2 answers:
leonid [27]3 years ago
7 0

Answer:

B ) The slope of the triangle P and Q is equal to 2

Step-by-step explanation:

slope of a line, in this case is hypotenuse, is given by rise by run.

For triangle P

Here rise is 6 units and run is 3 units

slope= rise/run = 6/3 = 2

Also for triangle Q

rise is 3 and run is 1.5

hence slope= 3/1.5=2

hence 2 is the answer

julia-pushkina [17]3 years ago
4 0

Answer:

<h2>B) the slope for triangle P and Q equal to 2.</h2>

Step-by-step explanation:

The slope is the defined as the ratio between the change of y-variable and x-variable. Its formula is

m=\frac{\Delta y}{\Delta x}

Now, we have to use to points and this formula to find the slope.

We are gonna use points (0,1),(3,7)

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m=\frac{7-1}{3-0}=\frac{6}{3}=2

So, the slope is 2.

Therefore, the true statement about the slope is B.

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Mademuasel [1]
<span>Moores Family Paid = 6 dollars mores for skate rental than the cotters did.
30 dollars = the total amount they paid for skate rentals.
Let Family Moore have the variable X
Let the Family Cotters have the variable Y
=> x = y + 6
=> y = 30 – 6 / 2
First, let’s solve the Y
=> Y – 30 – 6 / 2
=> Y = 24 / 2
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Now, let’s solve for X
=> X = y + 6
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8 0
3 years ago
Deion is purchasing cat food. The brand he plans to buy comes in two seizes.
murzikaleks [220]

Answer:

40

Step-by-step explanation:

15 divided by 3 is 5

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5 0
3 years ago
Suppose x is a real number and epsilon &gt; 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in
kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let y\in (x-\epsilon,x+\epsilon). then we have that x-\epsilon. Hence, it makes sense to define the positive number delta as \delta=\min\{x+\epsilon-y,y-(x-\epsilon)\} (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that (y-\delta,y+\delta)\subseteq  (x-\epsilon,x+\epsilon), and if we prove this, we are done. To prove it, let z\in (y-\delta,y+\delta), then y-\delta. First, \delta \leq y-(x-\epsilon) then -\delta \geq -y+x-\epsilon hence z>y-\delta \geq x-\epsilon

On the other hand, \delta \leq x+\epsilon-y then z hence z. Combining the inequalities, we have that  x-\epsilon, therefore (y-\delta,y+\delta)\subseteq  (x-\epsilon,x+\epsilon) as required.  

3 0
4 years ago
The density of mercury is 13.6 grams per cubic centimeter. Complete the steps for converting 13.6 g/cm^3 to kg/m^3
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1 cubic meter = 100 cm * 100 cm * 100 cm = 1 x 10^6 cc

1 kilogram = 1,000 grams

13.6 g / cc

If we had a cubic meter of mercury, its mass would be (or it would "weigh") 13.6 * 1,000,000 = 13,600,000 grams or 13,600 kilograms.

And so its density would be 13,600 kg / cubic meter.


4 0
3 years ago
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