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andrey2020 [161]
2 years ago
11

Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary

Mathematics
1 answer:
sergejj [24]2 years ago
8 0

*see attachement for the triangles given

Answer:

PQ = 6.8

Step-by-step explanation:

Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:

LN/OQ = MN/PQ

LN = 5

OQ = 17

MN = 2

PQ = ?

Plug in the values

5/17 = 2/PQ

Cross multiply

5*PQ = 2*17

5*PQ = 34

PQ = 34/5

PQ = 6.8

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Hey hey hey. help pls
Firdavs [7]

Answer:

Emma spend 8 hours in homework in a week and Jared  spends 16 hours in homework in 2 weeks.

Step-by-step explanation:

Two quantities P and Q are said to be in PROPORTION if and only if for all values of P and q, we get:

\frac{P}{Q}  = k

Here, k : PROPORTIONALITY CONSTANT

Case: 1

5 hour piano practice in 1 week.

So, the piano practice in 2 weeks( 1 x 2) =   2 x  5 = 10 hours

But here, it is given to be 12 hours in 2 weeks.

Hence, NOT PROPORTIONAL.

Case 2:

70 words in 60 seconds.

So, the words typed in 210 seconds ( 60 x 3.5) =   70  x  3.5 = 240 words

But here, it is given to be 280 words in 210 seconds.

Hence, NOT PROPORTIONAL.

Case: 3

8 hour homework in 1 week.

So, the homework done in 2 weeks( 1 x 2) =   2 x 8 = 16 hours

It is given to be 16 hours in 2 weeks.

Hence,  PROPORTIONAL.

Case: 4

15 miles  in 78 minutes.

So, the distance covered in 102 minutes (78 x 1.3) =  15 x 1.3 = 19.6 miles

But here, it is given to be 17 miles in 102 minutes.

Hence, NOT PROPORTIONAL.

Case: 5

18 miles  in 45 minutes.

So, the distance covered in 55 minutes (45 x 1.2) =  18 x 1.2  = 21.6 miles

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Hence, NOT PROPORTIONAL.

Hence, the only proportional case is Emma spend 8 hours in homework in a  week and Jared  spends 16 hours in homework in 2 weeks.

6 0
3 years ago
Read 2 more answers
Solve both by elimination can someone help?<br> 2x-5y=-9 , 4x+5y=12<br><br> 3x-2y=12 , 7x-5y=17
lyudmila [28]

Answer:

x=1/2, y=2;    

Step-by-step explanation:

First pair:

2x-5y =-9

4x+5y=12

Add them together:

6x=3

x = 1/2

2(1/2) - 5y =-9

1-5y = -9

1+9=5y

y=10/5=2

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2 years ago
Eva works as a salesperson at an electronics store and sells phones and phone accessories. Eva earns a $8 commission for every p
adoni [48]

Answer:

Hope this helps out dude!

Step-by-step explanation:

6 0
2 years ago
Answers needed as soon as possible
Naily [24]
Basically the answer is 6, if you'd like an explanation, let me know. :)
6 0
2 years ago
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) Fred buys a video game disk for $4. There was a discount of 20%.What is<br> the sales price?
dolphi86 [110]

Answer:

so 4 dollars is discount

100-20=80 so

4 dollars =80%

1 dollar=20%

80+20=100

4+1=5

original price=$5

6 0
2 years ago
Read 2 more answers
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