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PilotLPTM [1.2K]
3 years ago
12

Could the value of x in the figure below be 10?

Mathematics
1 answer:
RSB [31]3 years ago
6 0

Answer:

It cannot

Step-by-step explanation:

The hypotenuse is always the longest side, which in this instance of the left triangle, it is 14

If x were to be 10, this would make line KM to be 15 units long,  (10 + 5)

Despite line LM being unknown, x must have a number below 10 (, and 9) to make it possible

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zmey [24]

Step-by-step explanation:

underneath the x axis is the minuses so you draw across from -4

4 0
2 years ago
What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]
77julia77 [94]

Answer:

Average rate of change = 3

Step-by-step explanation:

  • We know that the average rate of change is basically a measure of the slope of the  secant line  in the closed interval [a, b].

here   a = -3 and b = 4

  • f(b) = f(4) = 27
  • f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a)  / b - a

                                            = (27 - 6) / (4 - (-3))

                                            = 21 / 7

                                            = 3

Therefore, Average rate of change = 3

6 0
2 years ago
In a (blank) , one ratio compares a part to a whole
cluponka [151]
I think it is a rate?           

3 0
3 years ago
Least common multiple for 16 and 24
Yuri [45]
You can multiply 16<span> by 3 (the only prime factor of </span>24<span> not shared by </span>16), to find the LCM<span>: 3 * </span>16<span> = 48</span>
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5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!<br> also, show all work<br> Thank you:)
barxatty [35]

Problem 1

<h3>Answer:  104 cubic inches</h3>

----------------------

Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

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

Problem 2

<h3>Answer:  650 square inches</h3>

----------------------

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

4 0
2 years ago
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