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2 years ago

two numbers rational. between 0.3 and 0.4 express one as a decimal and fraction. explain why these numbers are rational

1 answer:

8 0

0.35 and 31/100. They are rational because they can be written as fractions. 31/100, or 0.31, is a fraction, and 0.35 = 35/100 = 7/20, a fraction. Rational numbers either terminate (like 0.5) or repeat (like 0.66666.....), which basically means that they must be able to be written as fractions (0.5 = 1/2 and 0.66666..... = 2/3)

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Determine the measure of an angle whose measure is 17 times that of its complement.

Iteru [2.4K]

Complement angles are angles which when added, the sum is equal to 90 degrees. In this case, we let angle one as x while angle 2 is represented by 17x. The equation then is equal to x + 17x = 90 ; 18x = 90. x from the equation is equal to 5. Hence teh angles are 5 degrees and 85 degrees

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2 years ago

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George is given two circles, circle O and circle X 1 as shown. If he wants to prove that the two circles are similar, what would

salantis [7]

Answer:

Step-by-step explanation:

Given: The radius of circle O is r, and the radius of circle X is r'.

To prove: Circle O is similar to circle X.

Proof: Move the center of the smaller circle onto the center of the largest circle. Translate the circle X by the vector XA onto circle O. The circles now have the same center.

A dilation is needed to increase the size of circle X to coincide with the circle O. A value which when multiplied by r' will create r.

The scale factor x to increase X:

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A translation followed by a dilation with scale factor will map one circle to the other, thus proving the given both circles similar.

Therefore, circle O is similar to circle X.

Step-by-step explanation:

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2 years ago

Use the Distributive Property to write each expression as an equivalent algebraic expression.

xxMikexx [17]

Answer:

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Step-by-step explanation:

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andrew-mc [135]

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2 years ago

PLEEZZ

jonny [76]

4 < 4(6y - 12) - 2y |use distributive property

4 < (4)(6y) + (4)(-12) - 2y

4 < 24y - 48 - 2y |add 48 to both sides

52 < 26y |divide both sides by 26

2 < y → y > 2

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4x < 3x + 3 |subtract 3x from both sides

x < 3

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-5r + 6 ≤ -5(r + 2) |use distributive property

-5r + 6 ≤ (-5)(r) + (-5)(2)

-5r + 6 ≤ -5r - 10 |add 5r to both sides

6 ≤ -10 FALSE

No solution

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-2(6 + s) ≥ -15 - 2s |use distributive property

(-2)(6) + (-2)(s) ≥ -15 - 2s

-12 - 2s ≥ -15 - 2s |add 2s to both sides

-12 ≥ -15 TRUE

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3s + 6 ≤ (-5)(s) + (-5)(2)

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2 years ago