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3 years ago

The following is an equilateral triangle. Solve for y.

Mathematics

1 answer:

GuDViN [60]3 years ago

7 0

Answer:

y = 68 degrees

Step-by-step explanation:

Here, we want to solve for an equilateral triangle with the internal angle measurement being y-8

If one of the angles is y-8, then the rest are y-8 too

mathematically, by adding all , we have a total of 180

Thus;

3(y-8) = 180

y-8 = 180/3

y-8 = 60

y = 60+8

y = 68 degrees

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What is the slope of the line represented by the equation y = 4/5 x -3? A-1 B-4/5 C4/5 D3

Cerrena [4.2K]

Option C

<u>ANSWER: </u>

For the given equation slope is $\frac{4}{5}$ so the correct option is c.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{4}{5} x-3$

We need to find the slope of the given equation.

Above given equation is in the form of slope intercept form, i.e. y = mx + c

Where m is the slope and c is the intercept made on axis by this line.

By comparing the given equation and the general form, we can conclude that, m = $\frac{4}{5}$ and c = -3

hence, for the given equation slope is $\frac{4}{5}$ . so the correct option is c.

8 0

3 years ago

Read 2 more answers

A landscape business charges $50 to deliver rocks. The cost of the rocks are $27 per cubic yard. write and solve a linear equati

Nuetrik [128]

<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

27(8) + 50 = y.

216 + 50 = y

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

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3 years ago

How many 1/3 cup servings of juice are in a 5 cup container

vesna_86 [32]

Answer:

We can get 15 (1/3 cup) servings with a 5 cup container

Step-by-step explanation:

To solve this problem, we can easily divide 5 by (1/3) to find how many servings can be obtained

5 / (1/3)

= 5 / (0.3333)

= 15

This can be checked by adding together (1/3) fifteen times

(1/3) + (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)+ (1/3)

= 15/3 = 5

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3 years ago

A triangle has vertices at (-4,-6),(3,3), (7,2). Rounded to two decimal places, which of the following is the closest approximat

Cerrena [4.2K]

Answer:

Hey there!

The perimeter of the triangle is the distance around it.

We can find the distance of two points using the distance formula, and add up all the distances to find the total distance.

-4, -6 to 3, 3 is 2

3, 3 to 7, 2 is 5

7, 2 to -4, -6 is about 5.4

2+5+5.39=12.4, which is closest to 12.36.

Let me know if this helps :)

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2 years ago

there are 148 juniors and 272 seniors attending prom this year. if there must be three chaperones per 60 students, how many chap

valkas [14]

21 chaperones are needed for 420 students.

Step-by-step explanation:

No. of juniors = 148

No. of seniors = 272

Total = 148+272 = 420 students

3 chaperones = 60 students

1 chaperone = $\frac{60}{3}=20\ students$

Ratio of chaperon to students = 1:20

Let,

x be the number of chaperons for 420 students.

Ration of chaperones to students = x:420

Using proportion

Ratio of chaperones to students :: Ratio of chaperons to students

$1:20::x:420$

Product of mean = Product of extreme

$20*x=420*1\\20x=420\\$

Dividing both sides by 20

$\frac{20x}{20}=\frac{420}{20}\\x=21$

21 chaperones are needed for 420 students.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

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3 years ago