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3 years ago

I need help finding the answer , it would also be nice if you could explain it. Thank you

Mathematics

1 answer:

Aleks [24]3 years ago

4 0

Hello!

First you have to find the values that you can

Angles that are across each other are the same

So the one across 80 is 80 and the angle across 70 is 70

You know 4 of the 6 angles

You add these up together

80 + 80 + 70 + 70 = 300

All the angles together make a circle

A circle has a area of 360

So you do 360 - 300 = 60

Since there are 2 angles left you do

60/2 = 30

The answer is 30

Hope this helps!

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Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

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Step-by-step explanation:

A square has 4 sides so 92/4 to divide it evenly is 23.

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DaniilM [7]

We know that

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Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better ch

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<h3>What Characteristics of a Dot Plot Makes Median a Better Choice?</h3>

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IN the dot plot given below, the data has an outlier of 10 while the data distribution is also screwed, this makes the median a better choice.

Therefore, the answer is: A. The data are skewed and there are outliers.

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