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lesantik [10]
2 years ago
10

Please explain urgent! Brainly to anyone who can answer!

Mathematics
1 answer:
Wittaler [7]2 years ago
7 0

Answer:

  • JK ≈ 6.86 units

Step-by-step explanation:

According to the diagram MK is the angle bisector of  ∠LMJ in the triangle LMJ.

Use angle bisector theorem, which states:

  • <em>an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.</em>

<em />

Applied to the given triangle, the ratios are:

  • LK/JK = LM/JM

Use segment addition postulate and substitute known values to get:

  • (LJ - JK)/JK = LM/JM
  • (14 - JK)/JK = 50/48
  • 50JK = 48(14 - JK)
  • 50JK = 672 - 48JK
  • 50JK + 48JK = 672
  • 98JK = 672
  • JK = 672/98
  • JK = 6.86 (rounded)

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Simplify. (-2)^-3<br> A.-8<br> B.-1/8<br> C.1/8<br> D.8
DiKsa [7]

ANSWER

{( - 2)}^{ - 3} =- \frac{1}{ 8}

EXPLANATION

We want to simplify;

{( - 2)}^{ - 3}

Recall that,

{a}^{ - m}  =  \frac{1}{ {a}^{m} }

{( - 2)}^{ - 3}  =  \frac{1}{{( - 2)}^{ 3}}

We multiply out to get,

{( - 2)}^{ - 3}  = \frac{1}{{- 2} \times  - 2 \times  - 2}

{( - 2)}^{ - 3}  =  \frac{1}{ - 8}

The correct choice is B.

6 0
3 years ago
A medical researcher says that less than 87​% of adults in a certain country think that healthy children should be required to
Lyrx [107]

Answer: It is not enough evidence to support the researcher's claim.

Step-by-step explanation:

Since we have given that

n = 500

\hat{p}=0.85

So, the hypothesis are as follows:

H_0:\hat{p}

So, the z value would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.85-0.87}{\sqrt{\dfrac{0.87\times 0.13}{500}}}\\\\z=\dfrac{-0.02}{0.015}\\\\z=-1.33

At α = 0.05

z= -1.64

So, 1.64<-1.33

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3 0
3 years ago
Express 235° in radian measure​
likoan [24]

Answer:

I think its 4.10152

Step-by-step explanation:

6 0
3 years ago
Question in the picture​
LenKa [72]

Answer:

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Step-by-step explanation:

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3 years ago
Given this system of equations with three unknown variables, what is the value of C?
mina [271]

This is basically a system of 3 linear equations with variables x, y and c.


x+y = 6...................................(1)

5x/3 + y = c .........................(2)

2y = c-4x .............................(3)


(2)-(1)

5x/3-x +y-y = c-6 => 2x/3 = c-6 => x = (3/2)(c-6)=3c/2-9 ..............(4)

(3) - 2(2)

2y-2y - 10x/3 = c -4x -2c

=> 2x/3 = -c

=> x = -(3/2)c.............................................................................................(5)


Finally, equate (4) & (5) to get

3c/2-9 = -3c/2

=>

3c = 9

=> c=3

3 0
3 years ago
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