2 years ago

Which diagram shows line m parallel to line n

Mathematics

1 answer:

Brrunno [24]2 years ago

5 0

Answer: its not the 3 that are in the picture

Step-by-step explanation:

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The table shows the cost of a taxicab ride for several driving distances.

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A driver receives -25 points for each rule violation. What integer represents the change in points after 4 rule violations?

notka56 [123]

The integer is -100.

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Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates

klemol [59]

Answer:

Option C is the correct choice.

Step-by-step explanation:

We are given the coordinates of rectangle and we are asked to find the correct option that describes that diagonals JL and KM are congruent.

Since we that a rectangle have four right angles.

We will use Pythagorean theorem to prove that diagonals JL and KM are congruent.

In triangle KLM we can see that KL is b units long and LM is a units long. By Pythagorean theorem $\sqrt(a^{2}+b^{2})=KM$

In triangle JML we can see that JM is b units long and LM is a units long. By Pythagorean theorem $\sqrt(a^{2}+b^{2})=JL$

Therefore, we can see that $\sqrt(a^{2}+b^{2})=KM=LM$ and option C is the correct choice.

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2 years ago

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Mr Chua borrows a sum of money from the bank which charges a compound interest of 4.2% per annum, compounded 6.Given that Mr Chu

Inessa [10]

Answer:

Original sum of money = $2246.51

Step-by-step explanation:

Interest = $96.60

Interest is compounded 6 times in a year ; n = 6

time = 1 year ; Rate of interest (r) = 4.2%

Interest = Future Value - Principal Value ...........(1)

$\text{Future Value = }Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}\\\\\text{Substituting this value in equation (1) , We get }\\\\Interest=Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}-Principal\\\\\implies 96.60=Principal[\cdot (1+\frac{4.2}{100\times 6})^{6\cdot 1}-1]\\\\\implies Principal=\$2246.51$

Hence, the original sum of money borrowed = $2246.51

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2 years ago