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maw [93]
3 years ago
15

Algebra KPL and LJPL are a linear pair, m_ KPL = 2x + 24, and mLJPL = 4x + 36. What are the measures of ZKPL and LJPL? (2x + 24)

(4x + 36) к P
​

Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

  • 64° = ∠KPL
  • 116° = ∠JPL

Step-by-step explanation:

The sum of the measures of a linear pair of angles is 180°.

  (2x+24) +(4x+36) = 180

  6x = 120 . . . . . . subtract 60, collect terms

  x = 20

  (2(20) +24)° = 64° = ∠KPL

  (4(20) +36)° = 116° = ∠JPL

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Answer:

1 is multiplication

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Step-by-step explanation:

PEMDAS

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3 years ago
PLEASE HELP THIS IS IMPORTANT DONT TROLL ME PLZ
MrRa [10]

Answer:

5 meters

Step-by-step explanation:

So Zane starts at -25 meters, then, after 35 seconds, he makes it to the top. The questions is asking how high he climbed every 7 seconds. As we know, 7x5 is equal to 35. this means that we can divide 35 and 25 by 5 to get the answer. 25/5 is equal to 5, so that means he climbed 5 meters every 7 seconds. I hope this helps!

8 0
2 years ago
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Olin [163]

Answer:

if i am right it yes yes no

Step-by-step explanation:

5 0
3 years ago
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When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for
juin [17]

Answer: 0.332 < p < 0.490

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where n= sample size

\hat{p} = sample proportion

z* = critical z-value.

As per given , we have

n= 258

Sample proportion of college students who own a car = \hat{p}=\dfrac{106}{258}\approx0.411

Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the  99% confidence interval for the true proportion(p) of all college students who own a car will be :0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)

Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490

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3 years ago
The sides of the rectangle are in the ratio of 4:7. If its length is 31.5 in., find the width, the perimeter, and the area of th
AveGali [126]
Let \ell the length and w the width. By the ratio of the sides:

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Now, we'll find the perimeter p. We'll use the formula below:

p=2(\ell+w)\\\\&#10;p=2(31.5+18)\\\\&#10;p=2\cdot49.5\\\\&#10;\boxed{p=99~in.}

The area of a rectangle is S=w\cdot\ell. Then:

S=w\cdot\ell\\\\&#10;S=18\cdot31.5\\\\&#10;\boxed{S=567~in.^2}
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