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3 years ago

5. Find the value of x. The diagram is not to scale. Lines F and G are parallel.

Mathematics

2 answers:

mamaluj [8]3 years ago

6 0

X=11 because

5x+9x+26=180

14x+26=180

14x=154

x=11

nignag [31]3 years ago

3 0

Answer: The required value of x is 11.

Step-by-step explanation: Given that the lines f and g are parallel to each other.

We are to find the value of x.

From the figure, we note that the parallel lines f and g are cut by a transversal, and

angles with measures 5x° and (9x+26)° are interior angles on the same side of the transversal.

We know that, if two lines are parallel, then the measures of the angles on the same side of the transversal is 180°.

Therefore, we get

$5x^\circ+(9x+26)^\circ=180^\circ\\\\\Rightarrow 5x+9x+26=18\\\\\Rightarrow 14x=180-26\\\\\Rightarrow 14x=154\\\\\Rightarrow x=\dfrac{154}{14}\\\\\Rightarrow x=11.$

Thus, the required value of x is 11.

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Mislabeled seafood In 2013 the environmental group Oceana (usa.oceana.org) analyzed 1215 samples of seafood purchased across the

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Using the z-distribution, it is found that the 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

<h3>z-distribution interval:</h3>

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

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

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

For this problem:

1215 samples, hence $n = 1215$ .

33% was mislabeled or misidentified, hence $p = 0.33$ .

95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

<h3>The lower limit of this interval is:</h3>

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.33 - 1.96\sqrt{\frac{0.33(0.67)}{1215}} = 0.3036$

<h3>The upper limit of this interval is:</h3>

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.33 + 1.96\sqrt{\frac{0.33(0.67)}{1215}} = 0.3564$

The 95% confidence interval for the proportion of all seafood sold in the United States that is mislabeled or misidentified is (0.3036, 0.3564).

You can learn more about the use of the z-distribution to build a confidence interval at brainly.com/question/25730047

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2 years ago

A magazine has 8 pages of reading for every 2 pages of advertisements. How many pages of reading does it have for 1 advertisemen

BaLLatris [955]

Answer:

Step-by-step explanation:

8/2=4

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3 years ago

a window is shaped like a parallelogram. the height of the window is half the length of the base of the window. the base of the

rusak2 [61]

The area of the parallelogram is 36 inches square.

We have a parallelogram shaped window whose dimensions are as follows-

base (b) : 12 inches

height (h) : $\frac{1}{2} \times 12$ = 6 inches

Other side = 10 inches

We have to find the area of the window.

<h3>What is the formula to calculate the area of a parallelogram of given base (b) and height (h).</h3>

The area of the parallelogram is given by -

$A = \frac{1}{2} \times base\times height$

In the question given - We can apply the above formula to estimate the area of the window.

A = $\frac{1}{2} \times 12\times6$ = 36 inches square.

Hence, the area of the parallelogram is 36 inches square.

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2 years ago

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7. Find x if the perimeter of the equilateral triangle is 77. Equation: Solution: Round to the nearest hundredth. 6.5X minus 1

stealth61 [152]

If the perimeter of equilateral triangle is 77 and the equation showing the perimeter is 6.5X-1 then the value of X is equal to 12.

Given that the perimeter of equilateral triangle is 77 and the expression showing the perimeter is 6.5X-1.

We are required to find the value of X which is used in the expression.

Expression is combination of numbers, fraction, coefficients, indeterminants, determinants, which are mostly not found in equal to form.

Perimeter which is given is 77 and 6.5X-1.

6.5X-1=77

6.5X=77+1

6.5X=78

X=78/6.5

X=12

Hence if the perimeter of equilateral triangle is 77 and the expression showing the perimeter is 6.5X-1 then the value of X is equal to 12.

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2 years ago

Pls answer these 2 questions

Vladimir79 [104]

Answer:

1. 4.75x = 12.35

x =12.35/4.75 = 2.6

2. Ans;

$3x + 2 + 4x - 1 \\ (3x + 4x) + (2 - 1) \\ = 7x + 1$

I hope I helped you^_^

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3 years ago

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