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2 years ago

Which of the following statements must be true abut this diagram. check all that apply

1 answer:

6 0

The options w > x, w > y, and x + y = w are correct because the sum of the two interior angles is equal to the exterior angle.

<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the figure,

The interior angle of a triangle is w

w > x (true)

w > y (true)

x + y = w (sum of the two interior angles is equal to the exterior angle)

Thus, the options w > x, w > y, and x + y = w are correct because the sum of the two interior angles is equal to the exterior angle.

Learn more about the angle here:

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A picture folder on Bridget's computer has 36 files in it. Pictures from her friends make up 1/6 of the files. Another 2/6 of th

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Answer:

1/2

Step-by-step explanation:

1/6 plus 2/6 equals 3/6 which is then simplified to 1/2

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1 year ago

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James, Priya, and Siobhan work in a grocery store. James makes $9.00 per hour. Priya makes 20% more than James, and Siobhan make

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Answer:

Siobhan makes $9.18 per hour.

Step-by-step explanation:

9*20% is 1.8 so add that to 9 to get 10.80 then times 10.80 by 15% to get 1.62 so you subtract 1.62 from 10.80 to get $9.18

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3 years ago

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100POINTS!!!! PLEASE HELP EXPLAIN YOUR ANSWER!!! BRAINLIEST!!!

Nitella [24]

Example: Does the point (5, 2) lie within the solution set of the given system of inequalities?

y ≤ x − 5

y ≥ −x − 4

Focus on the first inequality. Does (5,2) satisfy this inequality? Is 2 ≤ 5 - 0 true? Yes, it is true. Before we call (5,2) a solution, we must determine whether or not (5,2) also satisfies the 2nd inequality: Is 2 ≥ -(5) - 4 true?

Is 2 ≥ -9? Yes! So, yes, (5,2) is a solution of this system of inequalities.

We must check out the other three possible solutions in the same fashion.

Try out the point (5,-2). Does it satisfy both inequalities?

Focusing on the first inequality: Is -2 ≤ 5 - 5 true? Yes, it is. The key question here and now is whether or not (5,-2) also satisfies y ≥ −x − 4. Is

-2 ≥ -(5) - 4 true? Is -2 ≥ -9 true? Yes. Thus, (5,-2) satisfies both inequalities and is thus another solution.

Check out (-5,2) and (-5,-2) in precisely the same way. Is either one, or are both, a solution (or solutions) to the given set of inequalities?

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3 years ago

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GIVING OUT BRAINLIEST TO WHOEVER GETS ALL OF THEM RIGHT

Thepotemich [5.8K]

Answer:

4) $\frac{x}{7\cdot x +x^{2}}$ is equivalent to $\frac{1}{7+x}$ for all $x \ne -7$ . (Answer: A)

5) $\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}$ is equivalent to $-\frac{14}{1-5\cdot x}$ for all $x \ne \frac{1}{5}$ . (Answer: B)

6) $\frac{x+7}{x^{2}+4\cdot x - 21}$ is equivalent to $\frac{1}{x-3}$ for all $x \ne 3$ . (Answer: None)

7) $\frac{x^{2}+3\cdot x -4}{x+4}$ is equivalent to $x - 1$ . (Answer: None)

8) $\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}$ is equivalent to $\frac{4}{3\cdot a^{3}}$ for all $a\ne 0$ . (Answer: A)

Step-by-step explanation:

We proceed to simplify each expression below:

4) $\frac{x}{7\cdot x +x^{2}}$

(i) $\frac{x}{7\cdot x +x^{2}}$ Given

(ii) $\frac{x}{x\cdot (7+x)}$ Distributive property

(iii) $\frac{1}{7+x} \cdot \frac{x}{x}$ Distributive property

(iv) $\frac{1}{7+x}$ Existence of multiplicative inverse/Modulative property/Result

Rational functions are undefined when denominator equals 0. That is:

$7+x = 0$

$x = -7$

Hence, we conclude that $\frac{x}{7\cdot x +x^{2}}$ is equivalent to $\frac{1}{7+x}$ for all $x \ne -7$ . (Answer: A)

5) $\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}$

(i) $\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}$ Given

(ii) $\frac{x^{3}\cdot (-14)}{x^{3}\cdot (1-5\cdot x)}$ Distributive property

(iii) $\frac{x^{3}}{x^{3}} \cdot \left(-\frac{14}{1-5\cdot x} \right)$ Distributive property

(iv) $-\frac{14}{1-5\cdot x}$ Commutative property/Existence of multiplicative inverse/Modulative property/Result

Rational functions are undefined when denominator equals 0. That is:

$1-5\cdot x = 0$

$5\cdot x = 1$

$x = \frac{1}{5}$

Hence, we conclude that $\frac{-14\cdot x^{3}}{x^{3}-5\cdot x^{4}}$ is equivalent to $-\frac{14}{1-5\cdot x}$ for all $x \ne \frac{1}{5}$ . (Answer: B)

6) $\frac{x+7}{x^{2}+4\cdot x - 21}$

(i) $\frac{x+7}{x^{2}+4\cdot x - 21}$ Given

(ii) $\frac{x+7}{(x+7)\cdot (x-3)}$ $x^{2} -(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2})$

(iii) $\frac{1}{x-3}\cdot \frac{x+7}{x+7}$ Commutative and distributive properties.

(iv) $\frac{1}{x-3}$ Existence of multiplicative inverse/Modulative property/Result

Rational functions are undefined when denominator equals 0. That is:

$x-3 = 0$

$x = 3$

Hence, we conclude that $\frac{x+7}{x^{2}+4\cdot x - 21}$ is equivalent to $\frac{1}{x-3}$ for all $x \ne 3$ . (Answer: None)

7) $\frac{x^{2}+3\cdot x -4}{x+4}$

(i) $\frac{x^{2}+3\cdot x -4}{x+4}$ Given

(ii) $\frac{(x+4)\cdot (x-1)}{x+4}$ $x^{2} -(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} = (x-r_{1})\cdot (x-r_{2})$

(iii) $(x-1)\cdot \left(\frac{x+4}{x+4} \right)$ Commutative and distributive properties.

(iv) $x - 1$ Existence of additive inverse/Modulative property/Result

Polynomic function are defined for all value of $x$ .

$\frac{x^{2}+3\cdot x -4}{x+4}$ is equivalent to $x - 1$ . (Answer: None)

8) $\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}$

(i) $\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}$

(ii) $\frac{4}{3\cdot a^{3}}$ $\frac{a}{b}\cdot \frac{c}{d} = \frac{a\cdot b}{c\cdot d}$ /Result

Rational functions are undefined when denominator equals 0. That is:

$3\cdot a^{3} = 0$

$a = 0$

Hence, $\frac{2}{3\cdot a}\cdot \frac{2}{a^{2}}$ is equivalent to $\frac{4}{3\cdot a^{3}}$ for all $a\ne 0$ . (Answer: A)

6 0

3 years ago

How many subsets does A have?

finlep [7]

A set with n elements has 2^n subsets, including the empty set and the complete set.

Your set has 2^6 = 64 subsets.

7 0

3 years ago