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NikAS [45]
3 years ago
7

Which statement correctly describes the relationship between quadrilateral ABCD and quadrilateral A′B′C′D′ ? An x y coordinate p

lane is shown. In quadrant 1 quadrilateral A B C D has vertices at begin ordered pair 1 comma 2 end ordered pair, begin ordered pair 2 comma 1 end ordered pair, begin ordered pair 6 comma 1 end ordered pair and begin ordered pair 6 comma 3 end ordered pair, respectively. In quadrant 2 quadrilateral A prime B prime C prime D prime has vertices at begin ordered pair negative 6 comma 2 end ordered pair, begin ordered pair negative 5 comma 1 end ordered pair, begin ordered pair negative 1 comma 1 end ordered pair and begin ordered pair negative 1 comma 3 end ordered pair, respectively. ​ Quadrilateral ABCD ​ is not congruent to ​ quadrilateral A′B′C′D′ ​ because there is no sequence of rigid motions that maps ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​. ​ Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a reflection across the y-axis, which is a rigid motion. ​ Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a translation 7 units to the left, which is a rigid motion. ​ Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a translation 7 units to the right, which is a rigid motion.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

The answer is; "Quadrilateral ABCD ​ is congruent to ​ quadrilateral A′B′C′D′ ​ because you can map ​ quadrilateral ABCD ​ to ​ quadrilateral A′B′C′D′ ​ using a translation 7 units to the right, which is a rigid motion."

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Which expression can be used to find the surface area of the following square pyramid
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Answer:

a. 36+15+15+15+15

Step-by-step explanation:

The base of the pyramid is a square. We know that all sides of a square are equal so if we multiply the two sides of the base square(6*6) we get 36.

The area of a triangle can be found with the formula (b*h)/2. If we input the given values of 5 and 6 into our equation, then (5*6)/2 is 15 and since there are 4 triangles in the square pyramid, you multiply 15 by 4 (or add 15+15+15+15), and add the 36 from the base square.

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Answer:

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Step-by-step explanation:

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At the beginning of each of her four years in college, Miranda took out a new Stafford loan. Each loan had a principal of $5,500
kaheart [24]

Answer:

D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

Miranda took the loan for 4 years. So, the total present value is $5500×4 = $22,000.

The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}

i.e. PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}

Substituting the values, we get,

i.e. PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}

i.e. 22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}

i.e. 22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}

i.e. 22000=\frac{P\times [1-0.4735]}{0.00625}

i.e. 22000=\frac{P\times 0.5265}{0.00625}

i.e. P=\frac{22000\times 0.00625}{0.5265}

i.e. P=\frac{137.5}{0.5265}

i.e. P=261.16

Thus, the total lifetime cost to pay of the loans compounded annually  = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

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Answer:

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Answer:

Part A

W W W M W W T W W L W W

W W M M W M T W M L W M

W W T M W T T W T L W T

W W L M W L T W L L W L

W M W M M W T M W L M W

W M M M M M T M M L M M

W M T M M T T M T L M T

W M L M M L T M L L M L

W T W M T W T T W L T W

W T M M T M T T M L T M

W T T M T T T T T L T T

W T L M T L T T L L T L

W L W M L W T L W L L W

W L M M L M T L M L L M

W L T M L T T L T L L T

W L L M L L T L L L L L

Part B

There are 64 possible outcomes. The sample size is 64.

Part C

To find the probability that Erin drinks lemonade one day, tea one day, and water one day, consider all the cases in which L, T, and W occur one time. Because the order doesn't matter in this scenario, these six outcomes from the list represent the desired event: W T L, T W L, T L W, W L T, L W T, and L T W.

The size of the sample space is 64. So, the probability that Erin drinks lemonade one day, tea one day, and water one day is 3/32.

Part D

To find the probability that Erin drinks water on two days and lemonade one day, we consider all the cases in which two Ws and one L occur. Because the order doesn't matter in this scenario, these three outcomes from the list represent the event: W W L, W L W, and L W W.

The size of the sample space is 64. So, the probability that Erin drinks water two days and lemonade one day is 3/64

Step-by-step explanation:

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