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Andrej [43]
4 years ago
14

If lines AB and CD are parallel, then angels c and e are?

Mathematics
2 answers:
Ray Of Light [21]4 years ago
7 0

Answer:

D. Supplementary

Step-by-step explanation:

<u>Consecutive Interior Angles Theorem:</u>

If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary.

Supplementary means the sum of the angles is 180 degrees.

Another name for consecutive interior angles is same side interior angles. The angles are on the same side of the transversal (in this case to the left) and they are in between the parallel lines which is the interior.

lapo4ka [179]4 years ago
6 0

Answer:

D

Step-by-step explanation:

Given that AB and CD are parallel lines, then

∠c and ∠e are same side interior angles and are supplementary

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On a track and field team, 8% of the members run only long-distance, 32% compete only in field events, and 12% are sprinters onl
kondor19780726 [428]

Answer:

0.40

Step-by-step explanation:

Members who run only  long distance = 8%

So, probability that a member will run only long distance = P(A) = 0.08

Members who compete only in field events = 32%

So, probability that a member will compete only in field events = P(B) 0.32

Members who are sprinters = 12%

So, probability that a member is sprinter = P(C) 0.12

We have to calculate the probability that a randomly chosen team member runs only long-distance or competes only in field events. i.e we have to find P(A or B). Since these events cannot occur at the same time, we can write:

P(A or B) = P(A) + P(B)

Using the values, we get:

P(A or B) = 0.08 + 0.32 = 0.40

Thus, the probability that a randomly chosen team member runs only long-distance or competes only in field events is 0.40

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3 years ago
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Tomtit [17]

Answer:

108

Step-by-step explanation:

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3 years ago
Multiply and divide in scientific notation​
sashaice [31]

Answer:

To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents. In either case, the answer must be converted to scientific notation.

Step-by-step explanation:

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3 years ago
How can (4x⁵/2x²)³ be solved in 2 different ways
Margaret [11]

We assume that we need to simplify the expression in two different ways.

Answer:

One way: Raise both, the numerator and denominator, to the third power, and then simplify the expression.

Second way: Simplify the terms inside parentheses, and then raise the result to the third power.

The result of both ways is the same: \\8x^{9}

Step-by-step explanation:

<em>One way</em>

Raise both, the numerator and denominator, to the third power, and then simplify the expression:

\\ (\frac{4x^{5}}{2x^{2}})^{3}

\\ (\frac{64x^{5*3}}{8x^{2*3}})

\\ (\frac{64x^{15}}{8x^{6}})

\\ \frac{64}{8}\frac{x^{15}}{x^{6}}

\\8x^{9}

This is the first simplification.

<em>Second way</em>

Simplify the terms inside parentheses, and then raise the result to the third power.

\\ (\frac{4x^{5}}{2x^{2}})^{3}

\\ (\frac{4}{2}*\frac{x^{5}}{x^{2}})^{3}

\\ (2*x^{5-2})^{3}

\\ (2*x^{3})^{3}

\\ (2^{3}*x^{3*3})

\\ (8*x^{9})

or \\ 8x^{9}.

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