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Amiraneli [1.4K]
2 years ago
5

Plssssss helpp :'Dd If JL = 5x + 1 and MK = 8x - 32, find JL and NK. JL = NK =

Mathematics
2 answers:
marysya [2.9K]2 years ago
5 0

Answer:

  • 56 units, 28 units

Step-by-step explanation:

<u>Rectangle has equal diagonals:</u>

  • JL = MK

<u>Substitute and solve for x:</u>

  • 5x + 1 = 8x - 32
  • 8x - 5x = 1 + 32
  • 3x = 33
  • x = 11

<u>Find the length of the diagonals:</u>

  • JL = MK = 5*11 + 1 = 56 units

<u>Diagonals of the rectangle bisect each other:</u>

  • KN = MK / 2 = 56/2 = 28 units
Liono4ka [1.6K]2 years ago
4 0

Diagonals of rectangle are equal

\\ \tt\Rrightarrow 5x+1=8x-32

\\ \tt\Rrightarrow 1+32=8x-5x

\\ \tt\Rrightarrow 33=3x

\\ \tt\Rrightarrow x=11

  • JL=5(11)+1=56
  • NK=JL/2=28
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telo118 [61]

Answer:

154 mins or 2 hour and 34 mins

Step-by-step explanation:

Step 1:

22 : 4          Ratio

Step 2:

22 : 4 = x : 28          Equation

Step 3:

4x = 616       Multiply

Step 4:

x = 616 ÷ 4        Divide

Answer:

x = 154

Hope This Helps :)

7 0
2 years ago
I need answers and explanation with ratios to help my daughter with homework
Leviafan [203]

Using proportions, it is found that:

2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.

3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For each of Alan and Bree, we have to find the proportions of words typed per second and mistakes per second.

Then, for Alan:

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For Bree:

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Then:

2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.

3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.

More can be learned about proportions at brainly.com/question/24372153

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Answer:

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HA:  µ < 20

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Since the alternate hypothesis has a < sign in it, it is a left tailed test.  The < or > sign in the alternate hypothesis points towards the rejection region.

For a:  We need to calculate the test statistic for our situation.  This is done with a z-score formula for samples.  

For b:  we need to use the z-score table to look up the p-value for the score we calculate in part a.  The p-value is 0.0265.  This means that there is only about a 2.65% chance that the sample values were a result of random chance.

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