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NISA [10]
3 years ago
6

What is the value of x in the figure below?

Mathematics
1 answer:
zhenek [66]3 years ago
7 0
Again, nice problem. These are not super easy. You need to imagine the triangles in the figure and relate sides.

For instance: ADC, its hypotenuse is 15

For ABC, it is 20,

so 20/15 is the ratio between both triangles. Now let's choose the side with 'x'

x is one side of ADC, the corresponding side in ABC is 15 (the second longest sides). You need to rotate the triangles, etc ... That's the tricky part :)

So:

20/15 =15/x ----> x = 15*15/20 = 225/20 = 45/4

Which is C

Not sure whether it's too late to help you though!!!!

Also notice that it's kind of a product rule:

x * 20 = 15 * 15

I am sure the book explains a short way of getting to this equation, like sides opposite, blah blah, but what i told you is the reason. You asked for understanding it! Best luck!
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Which is an outlier out of 45,47,71,50,49 and 52
Elis [28]

The outlier is 71.

An outlier in a set of data is the one that is significantly lower or higher than the average of the totals. Whichever number skews the average is the outlier.

In this case, it's 71.

:)

6 0
3 years ago
Graph a line that is perpendicular to the line y=-3x + 2 and has a y-intercept of -6.
Fiesta28 [93]

Answer:

Step-by-step explanation:

the line's equation would be

y = 1/3x -6

so just graph a line using this equation

hope this helps <3

6 0
3 years ago
Select the correct answer. What is the mode of this data set? {41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25}
klemol [59]

The mode is the number in the set that appears the most.


In the given data set, the number 45 is listed twice while all the other numbers are only listed once.

The mode is 45.


4 0
3 years ago
Read 2 more answers
Will mark brainliest !! Easy math
marshall27 [118]

Answer:

increase = 37.38 cm²

You'd like the first way because it took less effort and less chance of a miscalculation.

Step-by-step explanation:

first way:

(just work with the difference in height)

(0.7 x 8.7 x 2) + (0.7 x 18 x 2) = 37.38 cm²

second way:

old total lateral surface area = (31 x 8.7 x 2) + (31 x 18 x 2) = 1655.4

new total lateral surface area = (31.7 x 8.7 x 2) + (31.7 x 18 x 2) = 1692.78

increase = 1692.78 - 1655.4 = 37.38 cm²

6 0
3 years ago
The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of
viva [34]

Answer:

<em>500πx³y³z³ </em>

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>

8 0
2 years ago
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