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il63 [147K]
2 years ago
5

Prove that triangle PQR is congruent to triangle QSR.

Mathematics
1 answer:
lora16 [44]2 years ago
7 0

Answer:

They are congruent to one another because both triangles have all equal sides. Therefore they are congruent.

Step-by-step explanation:

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7(x+5)=-7(x+5) solving equations with variable on both sides​
sergij07 [2.7K]

Answer:

Step-by-step explanation:

7x+5=7x+5

-7x. -7x

Answer is 5=5

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3 years ago
The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the
Mumz [18]
So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well   \bf v=rw\qquad 
\begin{cases}
v=\textit{linear velocity}\\
r=radius\\
w=\textit{angular velocity}\\
----------\\
r=18in\\
w=1302\frac{\pi }{min}
\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}
\\\\\\
v=\cfrac{23436\pi\ in}{min}

now, how much is that in miles/hrs?  well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus   \bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}

notice, after all the units cancellations, you're only left with mi/hrs
4 0
3 years ago
The data below give the number of books checked out of the school library by 15 students during one month. Make a frequency tabl
Alexeev081 [22]
Item | Frequency

0      | 2
1      | 5
2      | 4
3      | 3
5      | 1

Hope I helped!
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Food chain shows how energy transferred from one living organ to another via food. most important to learn how food chain works so that we know what are the important living organisms that make up the food chain and how ecology is balanced

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3 years ago
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