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3 years ago

X| 25 | 35 | 45 | 55 |

Mathematics

1 answer:

Yanka [14]3 years ago

6 0

A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.

_____
If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107

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Margaret [11]

Answer:

x = 35°

Step-by-step explanation:

These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.

These angles are congruent, so you can set them equal to each other:

$2x+20=3x-15$

Then, just solve for x:

$20=x-15\\35=x\\x=35$

You can check that by plugging it back into both:

$2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90$

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Answer:

Step-by-step explanation:

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3 years ago

Which expression is equivalent to StartRoot 200 EndRoot?

Verdich [7]

Answer:

b) √200 = 10√2

Step-by-step explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

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Taking ROOT both sides, we get: $\sqrt{200} = \sqrt{(2)^{2} \times (5)^{2} \times 2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times \sqrt{(2) } = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200} = 10 \sqrt {2}$

Hence, √200 = 10√2

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