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3 years ago

Which equation can be used to solve for X in the following diagram

Mathematics

1 answer:

Leokris [45]3 years ago

3 0

Answer:

Step-by-step explanation:

The straight line creates an angle of 180 °.

Therefore from the picture we have the equation:

3x + 80 + 2x = 180 <em>subtract 80 from both sides</em>

5x = 100 <em>divide both sides by 5</em>

x = 20

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Circle experts...help! will give brainly to most detailed answer

azamat

<h3>Answer: 161 degrees</h3>

=========================================================

Explanation:

Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula

secant tangent angle = (larger arc - smaller arc)/2

More specifically, we can say:

angle EAI = (arc EU - arc IE)/2

42 = ( (7m+5) - (3m-1) )/2

42*2 = (7m+5) - (3m-1)

84 = 7m+5 - 3m+1

84 = 4m+6

4m+6 = 84

4m = 84-6

4m = 78

m = 78/4

m = 39/2

m = 19.5

Use this value of m to compute each arc

arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees

Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.

(arc IU) + (arc IE) + (arc EU) = 360

x + 57.5 + 141.5 = 360

x + 199 = 360

x = 360-199

x = 161

The measure of minor arc IU is 161 degrees

4 0

3 years ago

Read 2 more answers

60 is 30% of what number?

Phantasy [73]

Percent means parts out of 100
30%=30/100=3/10

'of' means multiply

60 is 30% of what translates to
60=3/10 times what
multiply both sides by 10/3
600/3=what
200=what
the number is 200

7 0

3 years ago

Function and Reasoning:

Akimi4 [234]

The number of calories per ounce of soda is 10

<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>

The given parameters are:

Calories = 50

Ounces = 5

Let the number of calories be y and the ounces be x.

So, we have:

y = kx

Substitute y = 50 and x = 5

50 = 5k

Divide by 5

k = 10

Substitute k = 10 in y = kx

y = 10x

See attachment for the graph of the relationship between the number of calories and the number of ounces

<h3>Part B: What is the number of calories per ounce of soda?</h3>

In (a), we have:

k = 10

This means that the number of calories per ounce of soda is 10

<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>

The unit rate and the slope represent the same and they have the same value

Read more about linear graphs at:

brainly.com/question/4025726

#SPJ1

4 0

2 years ago

Can anyone help me with this, I gave a picture so you can figure it out

Ivenika [448]

Answer:

X=2

Step-by-step explanation:

If the smaller triangle's base is 1.5ft and the bigger triangle's base is 6ft then in order to find x you have to find how much bigger the big triangle is compared to the small triangle in order to do that you have to divide 6 by 1.5 (6÷1.5) which is 4 now you know that the bigger triangle is 4 times as big as the smaller triangle now to find X divide the 8 by 4 (since the 8 is on the same side as the X only the 8 is on the bigger triangle) which is 2

6 0

3 years ago

One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o

e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

$\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}$

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

$\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}$

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0

1 year ago