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ludmilkaskok [199]
3 years ago
13

Pls help Im confused.​

Mathematics
2 answers:
kramer3 years ago
6 0

Answer:

x = 13

Step-by-step explanation:

If they are parallel, that means that the angles shown are congruent.

If they are congruent, you can find the unit rate of x.

7x-1

is equal to

8x-14

7x - 1 = 8x - 14

Isolate x

-1 = 8x - 7x - 14

-1 + 14 = 8x - 7x

Simplify

13 = 1x

x = 13

Oksana_A [137]3 years ago
4 0
The answer is x=13 because the equations equal each other
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kolbaska11 [484]
You combine both 2x-12 and x+2 and 11 which makes the equation

2x-12+x+2= 11

The you get your answer which is

X=7

3 0
3 years ago
Two​ researchers, Jaime and​ Mariya, are each constructing confidence intervals for the proportion of a population who is​ left-
soldi70 [24.7K]

Answer:

Jaime's. Interval not centered around the point estimate.

Step-by-step explanation:

When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.

For Jaime's interval

Lower bound = 0.078

Upper Bound = 0.193

Central = \frac{0.078+0.193}{2} =0.1355

For Mariya's interval

Lower bound = 0.051

Upper Bound = 0.189

Central = \frac{0.051+0.189}{2} =0.12

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.

4 0
3 years ago
Given tan theta =9, use trigonometric identities to find the exact value of each of the following:_______
Ludmilka [50]

Answer:

(a)\ \sec^2(\theta) = 82

(b)\ \cot(\theta) = \frac{1}{9}

(c)\ \cot(\frac{\pi}{2} - \theta) = 9

(d)\ \csc^2(\theta) = \frac{82}{81}

Step-by-step explanation:

Given

\tan(\theta) = 9

Required

Solve (a) to (d)

Using tan formula, we have:

\tan(\theta) = \frac{Opposite}{Adjacent}

This gives:

\frac{Opposite}{Adjacent} = 9

Rewrite as:

\frac{Opposite}{Adjacent} = \frac{9}{1}

Using a unit ratio;

Opposite = 9; Adjacent = 1

Using Pythagoras theorem, we have:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Hypotenuse^2 = 9^2 + 1^2

Hypotenuse^2 = 81 + 1

Hypotenuse^2 = 82

Take square roots of both sides

Hypotenuse =\sqrt{82}

So, we have:

Opposite = 9; Adjacent = 1

Hypotenuse =\sqrt{82}

Solving (a):

\sec^2(\theta)

This is calculated as:

\sec^2(\theta) = (\sec(\theta))^2

\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2

Where:

\cos(\theta) = \frac{Adjacent}{Hypotenuse}

\cos(\theta) = \frac{1}{\sqrt{82}}

So:

\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2

\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2

\sec^2(\theta) = (\sqrt{82})^2

\sec^2(\theta) = 82

Solving (b):

\cot(\theta)

This is calculated as:

\cot(\theta) = \frac{1}{\tan(\theta)}

Where:

\tan(\theta) = 9 ---- given

So:

\cot(\theta) = \frac{1}{\tan(\theta)}

\cot(\theta) = \frac{1}{9}

Solving (c):

\cot(\frac{\pi}{2} - \theta)

In trigonometry:

\cot(\frac{\pi}{2} - \theta) = \tan(\theta)

Hence:

\cot(\frac{\pi}{2} - \theta) = 9

Solving (d):

\csc^2(\theta)

This is calculated as:

\csc^2(\theta) = (\csc(\theta))^2

\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2

Where:

\sin(\theta) = \frac{Opposite}{Hypotenuse}

\sin(\theta) = \frac{9}{\sqrt{82}}

So:

\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2

\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2

\csc^2(\theta) = \frac{82}{81}

4 0
3 years ago
Two lines are parallel if and only if their slopes are equal. Write two if-then statement that are implied by this thesis statem
Veronika [31]
If and only if (iff) statements are true if only both statements are true of both are false, its double implied.
Here are the implications:
If two lines are parallel then their slopes are equal.
If the slopes of two lines are equal then they are parallel.
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Identify the parts relating to o A.<br> What is FG?<br> What is DB?<br> What is DH?<br> What is AC?
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Answer:

Usually, when a question says "FG" or "DB" or any of the other letters put together, they mean the line that it connects to. For example: Point A to Point C. However, I can't say so for sure, because This answer most likely has a diagram drawn beside it. If you can put the diagram or picture along with your questions, I can help you out more!

Step-by-step explanation:

7 0
3 years ago
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