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Romashka [77]
2 years ago
14

There were 20 boys and 20 girls in a chorus. What is the ratio of boys to girls

Mathematics
1 answer:
aliya0001 [1]2 years ago
3 0

Answer:

1:1

Step-by-step explanation:

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Given that lines a and b are parallel and that m∠2 = 68°, find m∠5
Flura [38]

Answer: 112 degrees

Step-by-step explanation: In this problem, we are trying to find the m<5.

Notice that <2 and <3 are vertical angles which means they are congruent.

So we know that the m<3 is 68 degrees.

Now, notice that <3 and <5 are same side interior angles because

they lie on the same side of the transversal and on interior of lines a and b.

Now, it's important to understand that

same side interior angles are supplementary.

So we can setup the equation 68 + m<5 = 180.

Subtracting 68 from both sides, we have the m<5 = 112.

So the m<5 is 112 degrees.

3 0
2 years ago
A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width
MrMuchimi

Answer: Length = 13 ft. , Width = 9 ft.

Step-by-step explanation:

Rectangle area = Length x width

Area = 117 ft.

Length = x + 4

Width = x

To solve

(x)(x + 4) = 117

x^2 + 4x = 117

x^2 + 4x - 117 = 0

(x - 9)(x + 13)

x = 9, -13

x = 9 <em>(measurement cannot be negative)</em>

Length

x + 4

9 + 4 = 13

5 0
2 years ago
Write equation of the line below​
vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

  • (0,0)
  • (5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

  • Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

Since we have two given points, we can substitute them in the formula.

\large{m =  \frac{4 - 0}{5 - 0} } \\  \large \boxed{m =  \frac{4}{5} }

2. Form an equation.

  • Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

\large \boxed{y = mx + b}

Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.

\large{y =  \frac{4}{5} x + b}

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

\large \boxed{y =  \frac{4}{5} x}

3. Answer

  • Therefore the equation of the line is y = 4x/5.
6 0
2 years ago
Mrs. Johnson gets her morning coffee. She can't decide which size to order. Which size is the better buy? Explain.
Tom [10]

Answer:

large

Step-by-step explanation:

3.95 divided by 12 = 0.33

4.25 divided by 16 = 0.27

4.55 divided by 20 = 0.2275

the 20oz is the least unit price

3 0
2 years ago
Karel the Dog is instructed to move forward three spaces. Then, if Karel is standing on a ball, Karel will turn right and move f
Klio2033 [76]

Complete Question

The diagram for the question is shown on the first uploaded image

Answer:

The final  position of  Karel is shown on the second uploaded image

Step-by-step explanation:

On the diagram the dot represents steps to be taken by Karel

Now after Karel the Dog has moved forward three spaces, Karel will be standing on a ball, so Karel will turn right  move forward two spaces

So the final position of  Karel is shown on the second uploaded image

5 0
2 years ago
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