find the length of side AB and the measure of angle E.

All the points (20, -2), (-2, 2), (4, 2), (8, 1), (-8, 5), and (16, -1) lie on the same line.

To determine which points lie on the same line passing through (-4, 4) and (12, 0), we can use the equation of a line.

First, we find the slope (m) of the line using the formula:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of the two given points.

m = (0 - 4) / (12 - (-4)) = -4 / 16 = -1/4.

Now that we have the slope, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1),

where (x1, y1) is any point on the line.

Let's check which points satisfy this equation:

(20, -2):

-2 - 4 = (-1/4)(20 - (-4)),

-6 = (-1/4)(24),

-6 = -6.

The equation is true, so (20, -2) lies on the same line.

(-2, 2):

2 - 4 = (-1/4)(-2 - (-4)),

-2 = (-1/4)(2),

-2 = -2.

The equation is true, so (-2, 2) lies on the same line.

(4, 2):

2 - 4 = (-1/4)(4 - (-4)),

-2 = (-1/4)(8),

-2 = -2.

The equation is true, so (4, 2) lies on the same line.

(8, 1):

1 - 4 = (-1/4)(8 - (-4)),

-3 = (-1/4)(12),

-3 = -3.

The equation is true, so (8, 1) lies on the same line.

(-8, 5):

5 - 4 = (-1/4)(-8 - (-4)),

1 = (-1/4)(-4),

1 = 1.

The equation is true, so (-8, 5) lies on the same line.

(16, -1):

-1 - 4 = (-1/4)(16 - (-4)),

-5 = (-1/4)(20),

-5 = -5.

The equation is true, so (16, -1) lies on the same line.

In summary, all of the given points: (20, -2), (-2, 2), (4, 2), (8, 1), (-8, 5), and (16, -1) lie on the same line passing through the points (-4, 4) and (12, 0).

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Note the complete question is

A line passes through the points (-4, 4) and (12, 0) . Which points lie on the same line? Select all that apply: (20_ -2) (-2, 2) (4, 2) (8, 1) (-8, 5) (16, -1)

The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1

An equation is an expression that shows how numbers and variables are related to each other.

Given the quadratic equation:

-x² + 4 = x + 2

Collecting like terms:

x² + x - 2 = 0

Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.

The solution is at x = -2 and x = 1

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If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

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Answer: i believe its true

Step-by-step explanation:

The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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Answer:

lol i dont know but yo dog smell like evolution and natural selection?

Step-by-step explanation:

Answer:

11.) 180-38=142 12.)24.5 13.)im not sure but want to say 10

Step-by-step explanation:

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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Answer:

B.

Step-by-step explanation:

she only has $60 to spend therefore, she has the option of spending all of it, or less. However she cannot spend money she doesn't have.

Answer:

I think it's B

Step-by-step explanation:

(So far she has spent $45.95, plus the extra gift, and that has to equal less than or equal to $60) =

45.95 + extra gift (x) ≤ 60

£3 are saved the total they payed is 207 not including tax.   hope i helped!!!!!!!!!!!

ANSWER

c

It is c because i did the work and  i know.

Answer:

This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.

Step-by-step explanation:

When Null hypothesis is rejected in ANOVA then we expect that at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

In an ANOVA, the absence of a mean difference is always the null hypothesis.

If the test statistic from the table exceeds the F critical value with degrees of freedom in the k-1 numerator and N-k denominator, the null hypothesis will be rejected.

The means of all the groups are not equal, one deduces if the null hypothesis is rejected. Post-hoc analyses reveal to the researcher which groups differ from one another.

The goal of an ANOVA is to find out if there is a statistically significant difference between the groups if yes then at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

Option (d) is correct

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Where the above relations are given, note that Options A,  D, and E are the relations that represents a function. The others are just relations.

To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.

Note that where you are given domain and range, only the range is represented on the x-axis.

Some of the x values may be seen repeated in B, and C.

How is this so?

B) In a coordinate system, values are represented as (x, y). so

In relations, B 2 is repeated twice to in connection with -5, and -6. That is:

(2, -5) , (2, -6)

Since two is x, then its repetition nullified the relation as a function.

C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.

As a result, Options A,  D, and E are the relations that represent a function.

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Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer:

∠C' = 66°

Step-by-step explanation:

Because triangles ABC and A'B'C' are similar, their angles are still the same; only their side lengths are different, though still proportionate.

Hence, ∠A = ∠A', ∠B = ∠B', and ∠C = ∠C'.

Here, we're given that ∠A = 68, which means ∠A' = 68; we also know that ∠B = 46, so ∠B' = 46.

We want to find C', so remember that all angles in a triangle sum to 180:

∠A' + ∠B' + ∠C' = 180

68 + 46 + ∠C' = 180

114 + ∠C' = 180

∠C' = 66°

Answer:

∠C' = 66°

Step-by-step explanation:

∠A' + ∠B' + ∠C' = 180

68 + 46 + ∠C' = 180

114 + ∠C' = 180

∠C' = 66°

Answer: A:B = 3:13

Step-by-step explanation:

B 5, A 3 (double to get rid of halves)

B 10, A 6, —> B 13 A 3

The question needs you to find the new ratio of the glasses

The new ratio of glass A to glass B = 2.5 : 5.5

Glass A = 5

Glass B = 3

Half of the orange juice in Glass A is poured into Glass B

B = 3 + 1/2 of 5

= 3 + (1/2×5)

= 3 + 5/2

= 6 + 5 / 2

= 11/2

B = 11/2

= 5.5

A = 5 - 1/2 of 5

= 5 - (1/2×5)

= 5 - 5/2

= 10-5/2

= 5/2

= 2.5

The new ratio of glass A to glass B = 2.5 : 5.5

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Answer:

We get approximately 86.96%. T herefore, the teenager should charge his sister an annual simple interest rate of approximately 86.96%.

Step-by-step explanation:

Answer:

To calculate the interest rate that the teenager should charge his sister, we can use the formula:

I = P * r * t

where I is the interest earned, P is the principal (the amount borrowed), r is the interest rate, and t is the time period.

We know that the teenager wants to earn $25 in interest ($75 - $50). We also know that the principal is $50 and the time period is 15 weeks. Plugging these values into the formula, we get:

25 = 50 * r * (15/52)

Solving for r, we get:

r = 13.04%

Therefore, the teenager should charge his sister a simple interest rate of 13.04%. Rounded to the nearest hundredth, this is 13.05%.

hope it helps you

Answer: 882.96

Step-by-step explanation:

The product of -16.98 and 5.2 is -88.296.

The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:

-16.98 * 5.2 = -88.296.

Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.

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Answer:

-183

Step-by-step explanation:

= −134+(−35)+(−14)

= -134 +(-49)

= -183

The value of the addition the algebraic addition is -183

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. Finding the sum, or total, of a set of integers is the process of addition in mathematics.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The algebraic expression will be solved as below:-

E = −134+(−35)+(−14)

E = -134 +(-49)

E = -183

Therefore, the value of the addition the algebraic addition is -183

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All values of t for which the rocket's height is 92 feet are;

t= 0.55 or 10.89 seconds  

Given that model rocket is launched with an initial upward velocity of 164 ft/s.

The rocket's height h (in feet) after t seconds :

To Find:  

Find all values of t for which the rocket's height is 92 feet.

h=164t – 16t²

92 = 164t – 16t²

-164t + 16t² + 92 = 0

Solve with the quadratic formula:

t = [ -(-164) ± √((-164)² − 4(16)(92)) ] / 2(16)

t = (164± √27409) / 32

t = (164± √27409) / 32

t ≈ 0.55 or 10.89

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Answer:

More info is needed to do this

I'll help you once that info is given

Answer:

needs more directions and info

Step-by-step explanation:

Answer:

6.25 minutes or 375 seconds

Step-by-step explanation:

We can solve the following problem through the Proportion method.

Here,

we may take the time taken by the machine as x

\(96 : 2 : : 300 : x\\96x= 2 *300\\96x=600\\x=600/96\\x=6.25\ minutes\)

Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

no se ingles así que no se pero te doy gracias por los puntos

Answer:

\(\huge\boxed{\frac{1}{15} }\)

Step-by-step explanation:

\(\sf= \frac{2}{6} * \frac{1}{5} \\\\=\frac{2*1}{6*5} \\\\=\frac{2}{30} \\\\= \frac{1}{15} \\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

C

Step-by-step explanation:

\(\frac{2}{6}*\frac{1}{5}=\frac{1}{3}*\frac{1}{5} = \frac{1}{15}\)

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

If you're trying to solve the system of equations, the answer is

in point form: (4,4) , (-6,-16)

in equation form: x=4, y=4   x=-6, y=-16

Answer: where is the answer choices

Step-by-step explanation:

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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