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Serjik [45]
3 years ago
9

Pleaseeee helpppppp!!!!

Mathematics
2 answers:
yawa3891 [41]3 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent

Hence, 13x + 19 = 16x - 5

We now solve for x using the equation we just created

13x + 19 = 16x - 5

Subtract 13 x from both sides

19 = 3x - 5

Add 5 to both sides

24 = 3x

Divide both sides by 3

x = 8

ioda3 years ago
4 0

Answer:

x=8

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

13x+19 = 16x -5

Subtract 13x from each side

13x-13x+19 = 16x-13x -5

19 = 3x-5

Add 5 to each side

19+5 = 3x-5+5

24 = 3x

Divide by 3

24/3 = 3x/3

8 = x

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11. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?​
Igoryamba

Answer:

d = 36 km

Step-by-step explanation:

Speed of Jim, v = 18 km/h

Time, t = 2 hours

We need to find the distance covered. We know that the speed of an object is equal to the distance covered by it divided by total time taken.

v=\dfrac{d}{t}\\\\d=v\times t\\\\d=18\ km/h\times 2\ h\\\\=36\ km

So, he will cover 36 km.

7 0
4 years ago
A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppo
marissa [1.9K]

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that \pi = 0.89, n = 60

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

3 0
3 years ago
Read 2 more answers
Solve the equation 5.25x+6=74.25
Marina86 [1]
It 13 because you subtract 6 from 74.25 and then divide by 5.25
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3 0
3 years ago
Read 2 more answers
2v2 -5v +3 = 0 how did I do this?
anzhelika [568]
2v2 -5v +3 = 0 \\ \\\Delta = b^{2}-4ac = (-5)^{2}-4*2*3= 25-24=1\\ \\v_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{5- \sqrt{1 }}{2*2}=\frac{5- 1}{4}= \frac{4}{4}=1\\ \\v_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{5+ \sqrt{1 }}{2*2}=\frac{5+1}{4}= \frac{6}{4}=\frac{3}{2}=1\frac{1}{2}


8 0
4 years ago
Drag each expression to the correct location on the model. Not all will be used
grandymaker [24]

Answer:     \dfrac{x^{2}+2x+1 }{\mathbf {x-1}} \cdot \dfrac{\mathbf {5x^{2} +15x-20} }{7x^{2} +7x}

Step-by-step explanation:

\dfrac{\dfrac{5x^{2} +25x+20}{7x} }{\dfrac{x^{2} +2x+1}{7x^{2} +7x} } =\dfrac{5x^{2} +25x+20}{7x} \times \dfrac{7x^{2} +7x}{x^{2} +2x+1}=\dfrac{5x^{2} +25x+20}{7x} \times \dfrac{7x(x +1)}{(x+1)^{2} }=\\\\=\dfrac{5x^{2} +25x+20}{x+1} =\dfrac{{5(x+1)(x+4)}}{x+1}=5(x+4)

5(x+4)=\dfrac{5(x-1) \cdot (x+4)}{x-1}=\dfrac{5x^{2} +15x-20}{x-1}

<em>Thus, the expressions will be used: (5x² + 15x - 20) and (x + 4).</em>

<em>Let's check:</em>

\dfrac{x^{2}+2x+1 }{\mathbf {x-1}} \cdot \dfrac{\mathbf {5x^{2} +15x-20} }{7x^{2} +7x} =\dfrac{(x+1)^{2} }{x-1}  \cdot \dfrac{5(x-1) \cdot (x+4)}{7x(x+1)} =\\\\=\dfrac{(x+1) \cdot 5 \cdot (x+4)}{7x} =\dfrac{5x^{2} +25x+20}{7x}

5 0
3 years ago
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