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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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I need help with coming up with equation
Natali5045456 [20]

Let's call a child's ticket c and an adult's ticket a. From this, we can say:

c + a = 116,

since 116 tickets are sold in total.


Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750.


Given these values, we can say:

17000a + 12750c = 1653250,

since each adult ticket a costs 17,000 and each child's ticket c costs 12,750, and these costs sum to 1,653,250.


Now, we have two equations:

17000a + 12750c = 1653250

c + a = 116


Let's solve:

17000a + 12750c = 1653250

a = 116 - c

  • Find a on its own, which will allow us to substitute it into the first equation

17000(116 - c) + 12750a = 1653250

  • Substitute in 116 - c for a

1972000 - 17000c + 12750c = 1653250

  • Apply the Distributive Property

1972000 - 4250c = 1653250

  • Combine like terms

4250c = 318750

  • Subtract 1972000 from both sides of the equation and multiply both sides by -1

c = 75


We have now found that 75 child's tickets were sold. Thus,

75 + a = 116 \Rightarrow a = 116 - 75 = 41,

41 adult tickets were sold as well.


In sum, 41 adult tickets were sold along with 75 child tickets.

6 0
3 years ago
This is due next period. I need answers and a small explanation/work.
vlada-n [284]

1) Cancel out the common factor which in this case is 8 \frac{16m^2}{24m^7} = \frac{2m^2}{3m^7}

2)First apply exponent rule \frac{n(n+7)}{4n(n+7)}\\ now cancel out the common factors which are n and n+7 leaving you with \frac{1}{4}=0.25

3)Factorize \frac{(x+2)(x-12)}{x+2}cancel out the common factor in this case x+2 leaving you with x-12

4) Factorize \frac{(-3w+1)(3w-1)}{4(3w-1)} cancel out the common factor in this case 3w-1 leaving you with \frac{-3w+1}{4}

5) In the picture

6)In the picture

I am REALLY tired sorry I wont be able to do the rest, I hope these are helpful :)

6 0
3 years ago
Fine the value of a in the image below.​
telo118 [61]

Answer:

metre it with scale and then write its value with points

7 0
2 years ago
Read 2 more answers
Harry worked 7 hours last week. This is 1__3as many hours as Aidan worked. How many hours did Aidan work?
vitfil [10]

Answer:

21

Step-by-step explanation:

1/3= 0.33

7/0.33

7 0
3 years ago
Can someone please help me?
Lisa [10]

Answer:

B

Step-by-step explanation:

Using a graphing calculator, the graph shows an almost parabola like shape between 0 and 12

Plus if the width was equal or greater than twelve we would have a 0 or even negative volume which is impossible

7 0
3 years ago
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