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3 years ago

Are same side interior angles congruent?

Mathematics

2 answers:

Fed [463]3 years ago

6 0

Same side interior angles are not always congruent

Nataly [62]3 years ago

3 0

No not always. Sometimes they can have different sides and still be congruent.

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Write a fraction and a percent for the shaded portion of each one.

Cerrena [4.2K]

I dunno if im correct, but for A. I’d say 1/4 for B. I’d say 1 1/2 for C. 2/3

4 0

3 years ago

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When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as

Sliva [168]

answer: the answer is the first answer choice

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3 years ago

Find the LCM of k^2 + 3k + 2 and 2k^2 + 14k + 20.

Airida [17]

Answer:

C. 2(k +2)(k +5)(k +1)

Step-by-step explanation:

The LCM will be the product of unique factors.

$(k^2 + 3k + 2)=(k+1)(k+2)\\(2k^2 + 14k + 20)=2(k+2)(k+5)$

The unique factors are 2, (k+1), (k+2), (k+5), so the LCM is their product:

2(k+1)(k+2)(k+5) . . . . matches choice C

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3 years ago

Find the volume of a pyramid with a square base, where the perimeter of the base is 13.4 in and the height of the pyramid is 7.6

VashaNatasha [74]

Answer:

28.4in³

Step-by-step explanation:

Volume of the square based pyramid = L²H/3 where;

L is the length of a side of the square base

H is the height of the prism

Given

Perimeter of the base = 13.4 in

Height of the pyramid = 7.6in

First we need to get the length of the square base

Perimeter of a square = 4L

13.4 = 4L

L = 13.4/4

L = 3.35 in

Next is to find the required volume of the pyramid

V = L²H/3

V = 3.35²(7.6)/3

V = 85.291/3

V = 28.4 in³

Hence the volume of the pyramid to nearest tenth is 28.4in³

7 0

3 years ago

You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate

DaniilM [7]

Answer:

10.153 years

Step-by-step explanation:

The future value of such an investment is given by ...

FV = P·(1 +r/12)^(12t)

where P is the principal invested, FV is the future value of it, r is the annual interest rate, and t is the number of years.

Dividing by P and taking the log, we have ...

FV/P = (1 +r/12)^(12t)

log(FV/P) = 12t·log(1 +r/12)

Dividing by the coefficient of t gives ...

t = log(FV/P)/log(1 +r/12)/12 = log(3000/2000)/log(1 +.003333...)/12 ≈ 121.842/12

t ≈ 10.153 . . . years

6 0

3 years ago