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3 years ago

true or false? A regular polygon is one in which all angles are congruent and all sides are congruent.

1 answer:

8 0

A regular polygon is one where all angles are exactly the same and all sides are the same length.

congruence = exactly the same.

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Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.

ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0

3 years ago

When should homeowners ask their lenders for mortgage modification

Fofino [41]

When they can no longer afford the mortgage but before they miss a payment.

5 0

4 years ago

Convert 8 to Base 2

Lady bird [3.3K]

2 would be the base and 3 will be the square

5 0

3 years ago

Read 2 more answers

According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits abo

Minchanka [31]

Answer:

B. The mean amount of $CO_2$ emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

Step-by-step explanation:

A Type II error is the failure to reject a false null hypothesis.

Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower $CO_2$ emissions.:

$H_0: \mu = 8.9 kg\\H_a: \mu < 8.9 kg \\\text{ (where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline)}$

where $\mu$ is the mean amount of $CO_2$ emitted by burning one gallon of this new gasoline.

If the null hypothesis is false, then:

$H_a: \mu < 8.9 kg$

A rejection of the alternate hypothesis above will be a Type II error.

Therefore:

The Type II error is: (B) The mean amount of $CO_2$ emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.

8 0

3 years ago

Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse?. W

Andreyy89

Answer:

Learning to subtract rational numbers by adding the additive inverse can be explained to your child as being the same as finding the opposite. This can even be described to your child as being a similar concept to one that they have worked with in the past where subtraction is the opposite of addition.

Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.

Example: 5 + (-5) = 0

In this example, (-5) is the additive inverse.

You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.

Example: 7 - 4 = 7 + (-4)

3 = 3

When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.

Step-by-step explanation:

4 0

3 years ago