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Advocard [28]
2 years ago
9

Using the following​ diagram, solve for x. Show work

Mathematics
1 answer:
Alex17521 [72]2 years ago
6 0

Answer:

x = 7.5

Step-by-step explanation:

A line parallel to a side of a triangle and intersecting the other 2 sides, divides those sides proportionally, that is

\frac{8}{10} = \frac{6}{x} ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = \frac{60}{8} = 7.5

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The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
sesenic [268]

Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

4 0
2 years ago
The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole
Ainat [17]

The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

r^2=490.33/3.14(taking 3.14 for pi)=about 156.16

r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

6 0
3 years ago
Need help,please and thank you
muminat

If the two angles form a linear pair, the sum of the angles is 180 degrees.

If the small angle is one-third of the other, then the total is 1+1/3=4/3 of the larger angle.

By proportion,

L+L/3=4L/3=180

L=180*3/4=135 degrees

Smaller angle = L/3=45 degrees

Check: L+L/3=135+45=180 degrees, ok

3 0
3 years ago
Find the slope and put the answer in simplest form
vlabodo [156]

Answer:

Slope is 6

Step-by-step explanation:

4 0
3 years ago
In a department store, a $190 phone is marked, "Save 15%."
MaRussiya [10]

Answer:

a- $28.50

b- $161.50

Step-by-step explanation:

multiply 190 and 0.15 and you get 28.5 subtract that from 190 and you get 161.5

Hope this helps!

7 0
3 years ago
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