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nikklg [1K]
3 years ago
8

Mrs. Rifkin had 84 oranges. 24 of her oranges were rotten. The rest were either ripe or unripe. There were 18 more ripe oranges

than unripe oranges. Find the ratio of the number of ripe oranges to the number of rotten oranges to the number of unripe oranges.
Mathematics
1 answer:
Natalka [10]3 years ago
4 0

Answer:

13:8:7

Step-by-step explanation:

84 - 24 = 60

60 oranges were either ripe or unripe.

18 more ripe oranges than unripe oranges.

x + 18 = ripe oranges

x = unripe oranges

x + 18 + x = 60

2x + 18 = 60

2x = 42

x = 21

21 are unripe oranges

21 + 18 = 39

39 oranges are ripe.

Ratio of the number of ripe oranges to the number of rotten oranges to the number of unripe oranges.

39:24:21

13:8:7

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Suppose KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. Prove that A is equidistant from LM and KN.
Neporo4naja [7]

Answer:

This is proved by ASA congruent rule.

 Step-by-step explanation:

Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ

we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.

In ΔAPN and ΔAQL

∠PNA=∠ALQ    (∵alternate angles)  

AN=AL   (∵diagonals of parallelogram bisect each other)

∠PAN=∠LAQ      (∵vertically opposite angles)

∴ By ASA rule ΔAPN ≅ ΔAQL

Hence, by CPCT  i.e Corresponding parts of congruent triangles PA=AQ

Hence, A is equidistant from LM and KN.

7 0
3 years ago
Can someone please answer. There is one problem. There's a picture. Thank you!
Mnenie [13.5K]
Use the Sine Law: \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}

In this case:
\frac{sin(44)}{17}=\frac{sin(60)}{e}
therefore:
e=17\frac{sin(60)}{sin(44)} \approx 21.2
6 0
3 years ago
If Judy completes a puzzle by herself, it takes her 3 hours. Working with Sal, it only takes them 2 hours.What is the missing va
aliina [53]

Answer:

It means the Judy's rate to complete the puzzle is \frac{1}{3}.

Step-by-step explanation:

If Judy completes a puzzle by herself, it takes her 3 hours.

Working with Sal, it only takes them 2 hours

We have been given the rates of time taken by Judy and Sal to complete a puzzle.

We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.

It is given that Judy completes a puzzle by herself, it takes her 3 hours.

so part of puzzle completed by Judy in one hour would be\frac{1}{3}

Therefore, the part of puzzle completed by Judy in one hour is \frac{1}{3}.

8 0
3 years ago
Read 2 more answers
I NEED HELP ON THIS PLSSS , ILL MARK BRAINLIEST!!
Nataly_w [17]

Answer:

134.0 in^3

Step-by-step explanation:

Volume = (radius^2 * pi * height)/3 = (4^2 * pi * 8)/3 = 134.0 in^3

6 0
2 years ago
What is the image point of (-5,0) after a translation left 2 units and down 1 unit? Submit Answer attempt 1 out of 2
anygoal [31]

If you want to translate a point (x,y) to the left, you have to subtract the number of units (n) that you want to translate it from the original x coordinate, like this:

(x-u,y)

And if you want to translate a point (x,y) downwards, just subtract the number of units n you want to translate from the y coordinate, like this:

(x,y-n)

in this case, we have the point (-5,0) which image would be:

After a translation of 2 to the left

and with 1 unit down, this point would look like this:

(-5-2,0-1)=(-7,-1)

7 0
10 months ago
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