The first hexagon is dilated to form the second hexagon.

Select answers from the drop-down menus to correctly complete the statements.
The scale factor is

.

This represents

Answer:

[tex]\frac{6x}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7x}{5}[/tex] - [tex]\frac{x}{5}[/tex]

Since both fractions have a common denominator, subtract the numerators leaving the denominator.

= [tex]\frac{7x-x}{5}[/tex]

= [tex]\frac{6x}{5}[/tex]

Answer: 6x/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that [tex]a_1=-15[/tex] and [tex]a_{n+1}=a_n-8[/tex]

So each of the successive term of the given sequence is decreases by 8

Therefore the common difference is -8

The given sequence is a arithmetic sequence.

The general form is [tex]a_n=a_1+(n-1)d[/tex]

Substitute [tex]a_1=-15[/tex] and d=-8 in [tex]a_n=a_1+(n-1)d[/tex] we get

[tex]a_n=-15+(n-1)(-8)[/tex]

[tex]=-15-8n+8[/tex]

[tex]a_n=-8n-7[/tex]

Answer:

c) an=-7+8n

Step-by-step explanation:

i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3

Answer:

50 students

Step-by-step explanation:

40% of total students = 20

"of" means multiply

[tex]40\% \times \ total = 20\\\frac{40}{100} \times \ total = 20\\\\0.40 \times \ total = 20\\total = \frac{20}{0.4}\\\\total = 50[/tex]

It will take 0.67 hours

Step-by-step explanation:

Time = Distance/Speed

        = 30/45 = 0.67 hours

To calculate the value of b, we equate 300% of 0.18 to 20% of b, convert percentages to decimals, and solve for b, resulting in b being 2.7.

To find the value of b when 300% of 0.18 is equivalent to 20% of b, we can set up the equation as follows:

300% × 0.18 = 20% × b

Converting percentages to decimal form gives:

3 × 0.18 = 0.2 × b

Now, we will multiply the numbers:

0.54 = 0.2b

To find the value of b, we divide both sides by 0.2:

b = \( \frac{0.54}{0.2} \)

b = 2.7

Therefore, the value of b is 2.7.

Answer: A) 0.5 Hours

I got it correct!

Answer:

x=10

Step-by-step explanation:

13-4=9

For it to be bigger than 13, it has to be one more than 9 which is 10.

Answer:

10x^2 - 11x - 6

Step-by-step explanation:

(5x+2)(2x-3)

= 10x^2 - 15x + 4x - 6

= 10x^2 - 11x - 6

Answer:

(5x+2)(2x-3)=5x(2x-3)+2(2x-3)=5x*2x-5x*3+2*2x-2*3=10x^2-15x+4x-6=

10x^2-11x-6

Step-by-step explanation:

Answer:70

Step-by-step explanation:since 28b is 40% of 28,divide 100 by 48 because 100 is the whole and you need to find how to get the whole,100 divide by 48 is 2.083 then you multiply it to 28 to get 70.

Answer:

70

Step-by-step explanation:

hope its helpful....

Answer:

12y + 120

Step-by-step explanation:

First of, what is the distributive property?

The distributive property is the property that helps distribute numbers under the parenthesis.

For example, lets use {x+1}4. You distribute the 4 towards the x and the one like this:

4(x) + 1(4)

4x + 4

Now, let's go back to your problem

Solution:

{y+10}12

12(y) +12(10)

= 12y + 120

Hope this helps! Make sure to give me the brainliest answer since it would be greatly appreciated! Thank You!

10 bags of fertilizer

Answer:

9 miles

Step-by-step explanation:

A 6+3 is nine

Answer:

60.5

Step-by-step explanation:

All you need to do is divide 121 and 2. When you do so you world get 60.5.

To check, 60.5 times 2 is 121.

Hope this helped!

Answer:

Do you mean 11*11=121

Step-by-step explanation:

11 multiplied by 11

Answer: the answer is

5000

Step-by-step explanation:

Answer:40%

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer: 2/5>1/3

Step-by-step explanation: To make this easier, convert both to fifteenths.

To do this for 2/5, divide 15 by 5 to get 3. Now multiply both 2 and 5 by 3. This should get you 6/15.

To convert 1/3, divide 15 by 3 to get 5. Now multiply both 1 and 3 by 5. This should get you 5/15.

6/15>5/15 so 2/5>1/3.

Answer:

2 per minute

Step-by-step explanation:

Peter's pickle packing rate in ounces per minute is found by converting pints to ounces. By multiplying the 32 pints he packs in a minute by 16 ounces per pint, it is determined that Peter packs 512 ounces of pickles per minute.

Peter's pickle packing rate needs to be converted from pints to ounces to find how much he packs in ounces per minute. Since there are 16 ounces in a pint, we can find Peter's rate in ounces by multiplying the number of pints by 16.

Here are the calculation steps:

Identify the number of pints Peter packs in a minute, which is 32 pints.

Multiply the number of pints by the number of ounces in a pint. Since there are 16 ounces in a pint, the calculation is 32 pints * 16 ounces/pint.

Calculate the total to find Peter packs 512 ounces of pickles in a minute.

Therefore, Peter packs 512 ounces of pickles per minute.

Answer:

- 14 + 18i

Step-by-step explanation:

Note that i² = ([tex]\sqrt{-1}[/tex] )² = - 1

Given

4i(- i + 3) - 3(6 - 21) ← distribute both parenthesis

= - 4i² + 12i - 18 + 6i

= - 4(- 1) - 18 + 18i

= 4 - 18 + 18i

= - 14 + 18i

The indicated operation of 4i(-i + 3) - 3(6 - 2i) in the form a + bi is -14 + 18i.

To perform the indicated operation and write the result in the form a + bi, we have to distribute and combine like terms carefully.

Starting with 4i(-i + 3), we distribute 4i:

4i * (-i) = -4i^2 = 4 (since i^2 = -1)

4i * 3 = 12i

This gives us 4 + 12i.

Now addressing the second part, -3(6 - 2i), we also distribute:

-3 * 6 = -18

-3 * (-2i) = 6i

This results in -18 + 6i.

Combining both parts (4 + 12i and -18 + 6i):

(4 + 12i) + (-18 + 6i) = (4 - 18) + (12i + 6i)

= -14 + 18i

Answer:

Movie tickets are $9. Snacks are $2

Step-by-step explanation:

2m+3s=24

18+6=24

Option B: [tex](x, y) \rightarrow(x+5, y+3)[/tex] is the rule for the translation

Explanation:

The coordinates of A,B,C are [tex](-3,2)[/tex] ,[tex](-3,-3)[/tex] , [tex](0,-2)[/tex]

The coordinates of A',B',C' are [tex](2,5)[/tex] , [tex](2,0)[/tex] , [tex](5,1)[/tex]

We need to determine the rule for the translation

The rule for the translation is given by

[tex]P(x, y) \rightarrow P^{\prime}(x+a, y+b)[/tex]

Let us determine the translation from A to A'

[tex]A(-3,2)\rightarrow A^{\prime}(-3+a, 2+b)\rightarrow A'(2,5)[/tex]

Thus, we have,

[tex]\begin{aligned}-3+a &=2 \\a &=5\end{aligned}[/tex]   and   [tex]\begin{array}{r}2+b=5 \\b=3\end{array}[/tex]

Thus, the rule is given by

[tex](x, y) \rightarrow(x+5, y+3)[/tex]

Therefore, Option B is the correct answer.

Answer:

its b

Step-by-step explanation:

hdhbdbehebebehrbrb

Answer:

[tex] a = 8 \\ b = 10 \\ c = 5[/tex]

Step-by-step explanation:

[tex]{c}^{2} = {3}^{2} + {4}^{2} \\ c = 5 \\ \frac{3}{6} = \frac{4}{a} = \frac{5}{b} \\ a = 8 \: \: \: \: \: b = 10[/tex]

Answer:

[tex]a=8\\b=10\\c=5[/tex]

Step-by-step explanation:

In the given image, you can observe we have two right triangles.

Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.

If the triangles are similar, we can define the following proportion between sides.

[tex]\frac{4}{a} =\frac{3}{6}\\ 24=3a\\a=\frac{24}{3}\\ a=8[/tex]

Now we use the Pythagorean's Theorem to find each hypothenuse.

[tex]c^{2} =4^{2} +3^{2}\\ c=\sqrt{16+9}=\sqrt{25} \\ c=5[/tex]

[tex]b^{2} =8^{2} +6^{2}\\ b=\sqrt{64+36}=\sqrt{100}\\ b=10[/tex]

Therefore, the missing sides are

[tex]a=8\\b=10\\c=5[/tex]

Option C:

The product of 3 - 4i and -6 + i is -14 + 27i.

Solution:

Given complex numbers are 3 - 4i and -6 + i.

To find the product of these numbers.

Product of 3 - 4i and -6 + i

            [tex]=(3 - 4i)(-6 + i)[/tex]

Multiply each term of first number with each term of second number.

            [tex]=3 (-6 + i)-4i(-6+i)[/tex]  

            [tex]=3 (-6) + 3i -4i (-6)-4i^2[/tex]

Since the value of i² = -1

            [tex]=-18+ 3i +24i-4(-1)[/tex]

            [tex]=-18+27i+4[/tex]

            [tex]=-14+27i[/tex]

The product of 3 - 4i and -6 + i is -14 + 27i.

Option C is the correct answer.

Here we just want to find the product of two complex numbers, we will see that the solution is -14 + 27i

Remember that the complex number i has the property:

i^2 = -1

Now we want to perform the multiplication between 3 - 4i and -6 + i

Then we have:

(3 - 4i)*(-6 + i) = -18 + 3i + (4i)*6 - (4i)*i = -18 + 27i + 4 = -14 + 27i

So the correct option is C.

If you want to learn more about complex numbers, you can read:

https://brainly.com/question/10662770

Answer: B) 12

Step-by-step explanation: In order to solve this you have to know the scale factor between the two triangles. In order to do that you just need to take a similar side between the two triangles and divide them. For example:

10 / 15 = .6666

This is RW divided by RT

Now that you have the scale factor, you just need to multiply it by 18 to get WV.

18 x .666666 = 12

The value of d in millimeters is 12 mm and this can be determined by using the similar triangle property.

Given :

The following steps can be used in order to determine the value of d in millimeters:

Step 1 - The similar triangle property can be used in order to determine the value of d in millimeters.

Step 2 - Apply the similar triangle property on the triangle RST and triangle RVW.

[tex]\rm \dfrac{RW}{WV}=\dfrac{RT}{TS}[/tex]

Step 3 - Substitute the values of the known terms in the above expression.

[tex]\rm \dfrac{10}{d}=\dfrac{15}{18}[/tex]

Step 4 - Simplify the above expression.

[tex]\rm d = \dfrac{10}{15}\times 18[/tex]

d = 12 mm

For more information, refer to the link given below:

https://brainly.com/question/25277954

Answer:

12

Step-by-step explanation:

60=12*5

x is y times as great as k means that  x=k*y

Answer:

B

Step-by-step explanation:

Congruent angles are angles that have the same measure. This is the primary condition that they satisfy. The sum of their measures being 90° or sharing a vertex and a side don’t necessarily define congruent angles.

In the field of Mathematics, particularly in geometry, congruent angles are those which satisfy the condition of having the same angle measure. This implies that their measures, when compared, are equal. The other options you mentioned, like the sum of their measures being 90° or sharing a vertex and a side, don’t necessarily apply to all congruent angles. For instance, for two angles to sum to 90°, they would be complementary, not necessarily congruent.

https://brainly.com/question/33500921

#SPJ2

Step-by-step explanation:

[tex]area \: of \: triangle \\= \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4 \times 8 \\ = 2 \times 8 \\ = 16 \: {cm}^{2} \\ [/tex]

Answer:

answer sheet please give me brainly

Step-by-step explanation:

1.  the answer is   -1 • (7r + 6)  

2. that answer is right

3. that answer is right

4. the answer is       3h - 16  

5. the answer is   8 • (6 - 7s)

6. that answer is right

7. the answer is  -9 • (6r + 5)

8. the answer is  -14r - 43

9. the answer is   49z - 18

10. the answer is     14 + b  

Answer:

tttttt

Step-by-step explanation:

ttytddfgfdgfgfdg

Answer:

63/10 = 6 3/10 miles

Step-by-step explanation

There are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

One lap around the lake is 7/10 miles.

Let x be the number of miles in 9 laps

x = 9(7/10)

x = 63/10 miles

Or

x = 6.3 miles

Thus, there are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:5×4×9/9 +(9(4))

=180/9 + (36)

= 20+36

=56

Thank You

Answer:

24

Step-by-step explanation:

The solution to the question above is solved thus:

[tex] \frac{5xy + 9x}{y} [/tex]

Given that x = 4 and y = 9, substitute the values in the question thus:

[tex] \frac{5(4)(9) + 9(4)}{9} [/tex]

[tex] = \frac{5 \times 4 \times 9 + 9 \times 4}{9} [/tex]

[tex] = \frac{180 + 36}{9} [/tex]

[tex] = \frac{216}{9} [/tex]

[tex] = 24[/tex]

Answer:

Explanation:

1. Vertices of triangle FGH:

2. Vertices of triangle F'G'H':

3. Solution:

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is a dilation by a scale factor of 4 and a reflection across the x-axis. This is the proof:

       (0,1) → 4(0,1) = (0,4)

        (0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

       4(-2,1) → (-8,4)

       4(-3,3) → (-12,12)

        (-8,4) → (-8,-4) ⇒ F'

        (-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for a dilation by a scale factor of 4 and then a reflection across the x-axis.

Answer:a dilation by a scale factor of 4 and then a reflection across the x-axis

Step-by-step explanation: