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kondaur [170]
2 years ago
5

Find the value of x that makes line m ll n

Mathematics
1 answer:
guapka [62]2 years ago
5 0

Answer:

See below ↓

Step-by-step explanation:

14.

  • Between two lines m ║ n, the ∦ cuts through them forming two angles
  • As it forms a line, the sum of the angles is 180°
  • 3x + 47 + x + 7 = 180
  • 4x + 54 = 180
  • 4x = 126
  • x = 126/4 = 63/2 = 31.5

15.

  • Alternate exterior angles on a transversal are equal
  • 5x = 2x + 78
  • 3x = 78
  • x = 26
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Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

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7 0
3 years ago
Find(g-f)(x)
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Answer:

x^2+2x-5 - 1/x

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6 0
3 years ago
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Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away
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Answer:

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Step-by-step explanation:

We are given that

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Length of tree's shadow, L=31.65 m

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We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

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\triangle ABD\sim \triangle ECD

\frac{AB}{EC}=\frac{BD}{CD}

Substitute the values

\frac{AB}{1.45}=\frac{31.65}{5.45}

AB=\frac{31.65\times 1.45}{5.45}

AB=8.42m

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Answer:

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