The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure

Answer:

-5/12

Step-by-step explanation:

2 1/6 -(-1 3/4) =

-13/6 - (-7/4) =

-5/12

-5/12

Step-by-step explanation:

Step 1: Eliminating a negative and changing our operation

−2 1/6 + 1 3/4

Step 2: Rewriting our equation with parts separated

-2 − 1/6 + 1 + 3/4

Step 3: Solving the whole number parts

−2 + 1 = −1

Step 4: Solving the fraction parts

−1/6 + 3/4 = ?

Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

−2/12 + 9/12 = 7/12

Step 6: Combining the whole and fraction parts

−1 + 7/12 = −5/12

Answer:

[tex] {x}^{2} + 6x + 5[/tex]

Step-by-step explanation:

Required polynomial

[tex] {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - ( - 6)x + 5 \\ \\ = {x}^{2} + 6x + 5[/tex]

For a linear regression,

the value of r of the following data to three decimal places is 0.816.

The correct option is C.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

A table is given.

For a linear regression analysis.

The calculation for mean and their sum is given in the attached image.

And the value of r is 0.816.

Therefore, the value of r is 0.816.

To learn more about the correlation coefficient;

https://brainly.com/question/15577278

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Answer:

The area of each figure is:

Step-by-step explanation:

To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:

Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:

And we obtain the area of the whole figure when we add the two areas:

As you can see, the area of the picture is 20 square units.

Answer:

36!

Step-by-step explanation:

Parallelogram's formula:

6 x 6 = 36

In this case 6 is your base and 6 is your height so we just multiply the two given lengths to get the area!

Answer:

36

Step-by-step explanation:

i hoped i helped like^^

Answer:

27

Step-by-step explanation:

math

Answer: 74 degrees and 16 degrees

Step-by-step explanation:

A pair of complementary angles add up to 90 degrees.

If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.

x + x-58 = 90 is the same as 2x -58 = 90.

Adding 58 to both sides gives 2x = 148,

and dividing both sides by two gives x = 74.

We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.

Answer:

A=326.85 in² , C=64.09 in

Step-by-step explanation:

Area of a circle= πr²

r=10.2 in

Plug into a calculator

A=π(10.2 in)² = 326.85129....≈326.85 in²

Circumference = 2πr

C=2π(10.2) = 64.08849...≈64.09 in

Answer: x = 55°

Step-by-step explanation:

1) The angl of a straight line is 180°

one angle of the line is given, which is 125°

So, to find the other one we will do 125° + x = 180°

x = 55°

Answer: $9.23

because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.

Answer:

C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts

Step-by-step explanation:

it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.

Answer:

Step-by-step explanation:

A = π×(2.5)² + π×2.5×6.5 = 6.25π + 16.25π = 22.5π ≈ 70.686 ft²

{6.5 ft is not a height, it's slant length}

Answer:

Circle the -3 or the -2 in the final product

Step-by-step explanation:

If you multiply it out, the last terms are -2 and -3 which equal 6, not negative 6 so, that would be wrong factoring.

Answer:

153.9

Step-by-step explanation:

Answer:

it is going to be 6

Step-by-step explanation:

Given:

The dimensions of the square photo are 12'' × 12''.

The frame is 2 inches wider than the photo in both length and width.

To find:

The perimeter of the frame.

Solution:

We have,

Length of the photo = 12 inches

Width of the photo = 12 inches

The frame is 2 inches wider than the photo in both length and width. So,

Length of the frame = 12+2 inches

                                 = 14 inches

Width of the frame  = 12 inches

                                = 14 inches

The perimeter of a square is:

[tex]P=4a[/tex]

Where, a is the side length.

Now, the perimeter of the square frame with side 14 inches is:

[tex]P=4(14)[/tex]

[tex]P=56[/tex]

Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.

Answer:

The one that makes a circle

Step-by-step explanation:

Answer:

4th

Step-by-step explanation:

string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.

Answer:

n = 4

Step-by-step explanation:

The expression must equal 6. Thus, we can make an equation:

3n - (2 + n) = 6

We distribute the negative and take away the parenthesis:

3n - 2 - n = 6

We combine like terms:

2n - 2 = 6

We add 2 to both sides to isolate n:

2n = 8

We divide each side by 2:

n = 4.

Answer:

[tex]L = 704[/tex]

[tex]S = 832[/tex]

Step-by-step explanation:

Given

[tex]H = 22[/tex] --- Height

[tex]W = 8[/tex] --- Width

[tex]L=8[/tex] ---- Length

Solving (a): The lateral surface area (L)

This is calculated as:

[tex]L = 2 * (L + W) * H[/tex]

This gives:

[tex]L = 2 * (8 + 8) * 22[/tex]

[tex]L = 2 * 16 * 22[/tex]

[tex]L = 704[/tex]

Solving (b): The total surface area (T)

This is calculated as:

[tex]S = 2 * (LW + WH + LH)[/tex]

This gives:

[tex]S = 2 * (8*8 + 8*22+ 8*22)[/tex]

[tex]S = 2 * (64 + 176+ 176)[/tex]

[tex]S = 2 * 416[/tex]

[tex]S = 832[/tex]

Answer:

Cosine

Step-by-step explanation:

Answer:

Carpet company a

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

Answer:

form x = 6 ± √14

Step-by-step explanation:

I used mw so I'm sorry if worng

Answer:

Step-by-step explanation:

1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.

2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.

5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.

Answer:

4.ADE /// ABC (same <s)

<D = <B (corresponding <s)

<E = <C (corresponding <s)

ADE and ABC share A as the same < so all <s are = (AAA )

Answer:

11

Step-by-step explanation:

7 + 4 = 11

Answer:

11

Step-by-step explanation:

If a = 7, then a + 4 = 7 + 4 = 11

Hope that this helps!

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is [tex]25^{\circ}[/tex]

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]