3 years ago

Which figure is a counterexample to the following statement? A quadrilateral with one pair of parallel sides is a parallelogram.

1 answer:

8 0

Answer: Trapezoid

A trapezoid is a quadrilateral with exactly one pair of parallel sides. The other two opposite sides are not parallel. In order to have a parallelogram, we need two pairs of opposite parallel sides (not just one pair). Since a trapezoid is not a parallelogram, this means this is a counterexample to the original statement.

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If the length of an arc intercepted by a central angle of 1.25 radians is 32 inches, which proportion could be used to find the

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Answer:

Option 4: 1.25/2π = 32/2πr

Step-by-step explanation:

Arc length = (theta/2pi) × 2pi × r

32 = (1.25/2pi) × 2pi × r

1.25/2pi = 32/(2pi × r)

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3 years ago

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 p

Eddi Din [679]

Answer:

C(g) = 10 + 15g

C'(g) = 80

The monthly charges of Company C for using 2 Gigabyte of data usage.

Step-by-step explanation:

The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Now, the monthly cost in Company C for using g gigabyte of data will be

C(g) = 10 + 15g ........ (1)

Again, the monthly cost in Company D for using g gigabyte of data will be

C'(g) = 80 ......... (2)

Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage. (Answer)

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3 years ago

sandi has 2 1/3 cases of car oil in her garage. a full case contains 12 quarts. how many quarts of oil does sandi have?

timurjin [86]

Amount of oil sandi has = 2 1/3 * 12

= 7/3 * 12 = 7*4 = 28 quarts

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3 years ago

Jim used his debit card to withdraw $35 from the ATM. Then, he wrote a check for $8.00. Which equation represents the total amou

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