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3 years ago

Solve for x. 8 ≤ x - (-14)

Mathematics

2 answers:

raketka [301]3 years ago

4 0

$8 \leqslant x - ( - 14) \\ 8 \leqslant x + 14 \\ 8 - 14 \leqslant x + 14 - 14 \\ - 6 \leqslant x \\ x \geqslant - 6$

I hope I helped you ^_^

andriy [413]3 years ago

3 0

The answer it x >_ - 6

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Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.

earnstyle [38]

Answer:

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

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2 years ago

What are the domain and range of y=cot x? Select one choice for domain

Lostsunrise [7]

The domain is $\boxed{x \neq n\pi}$ , where n is an integer.

This is because cot x = 1/tan(x), and if tan x = 0, then the fraction is undefined.

The range is <u>all real numbers</u>.

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2 years ago

A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what

Sonbull [250]

Answer:

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that $p = 0.75$

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This means that $n = 200$ .

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean $\mu = p = 0.75$

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The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

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3 years ago

WHATS THE ANGLE MEASUREMENTS ?? & TELL HOW YOU GOT IT !!

Dafna1 [17]

Answer:

...

Step-by-step explanation:

7x - 2 +5x - 10 +4x = 180

16x - 12 = 180

16x = 168

x = 10.5

now plug it in

7(10.5) - 2 = 71.5°

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3 years ago

Read 2 more answers

Find the geometric mean of the pair of numbers

Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

$G.M. =\sqrt{ab}$

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

$G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55$

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

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3 years ago