What is the ratio of the people who prefer vanilla to the people who prefer strawberry?
-5/4
-4/5
-3/2
-2/3

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

Answer:

18

Step-by-step explanation:

38 drink tea but 20 drink tea only.

38-20 =18 drink tea.

Answer:c.texture

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Around 69.08 centimeters.  

»»————-　★　————-««  

Here’s why:  

[tex]\text{Circumference of a Circle:}\\\\C=2\pi r\\\\\boxed{\text{Key:}}\\\\\text{r - radius}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Circumference:}}\\\\\text{I am using 3.14 for pi.}\\--------\\\rightarrow C=2(3.14)11\\\\\rightarrow C=6.28*11\\\\\rightarrow\boxed{69.08}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

Answer:

7_14-21-28-35-42-49 -56-63-70-77-84

Answer:

AC =10 cm

Step-by-step explanation:

triangle ABC is a right angled triangle

side opposite to angle B is hypotenuse

so hypotenuse=AC

here AB and BC are other two smaller sides of a triangle.

so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.

Let AB=a , BC=b and AC=c(hypotenuse)

[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]

36 + 64 =[tex]AC^{2}[/tex]

100=[tex]AC^{2}[/tex]

[tex]\sqrt{100[/tex] =AC

10=AC

Answer:

4(4+9)

(if you are able to use 4 twice)

Answer:

$31.50

Step-by-step explanation:

3j = $94.50

 j = 94.50 / 3

 j = $31.50

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{m=8}[/tex]

»»————-　★　————-««  

Here’s why:  

[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]

⸻⸻⸻⸻

[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]

⸻⸻⸻⸻

[tex]\text{The slope is 8.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

Answer:

Step-by-step explanation:

The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:

4x - 18 = 0   and   -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.

4x = 18 so

x = 9/2.

-2x = -k so

x = k/2. If the x-intercepts are the same value, then

[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,

k = 9

Answer:

40.03

Step-by-step explanation:

Answer:

I believe there is no answer because if x-y = 3 x - y cant equal 3 7.

Step-by-step explanation:

Please mark brainliest :) hope i helped

Answer:

distance = 13 units

Step-by-step explanation:

(-2 , -6)=(x1 , y1)

(-7 , 6)=(x2 , y2)

distance formula:

=[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

=[tex]\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}[/tex]

=[tex]\sqrt{(-7+2)^2 + (6+6)^2}[/tex]

=[tex]\sqrt{(-5)^2 + (12)^2}[/tex]

=[tex]\sqrt{25+144}[/tex]

=[tex]\sqrt{169[/tex]

=13 units

Answer:

forma is h * w / 2 and y and x have no value because there are no numbers to calculate.

Step-by-step explanation:

hope this helps!!!!!

Answer:

h * w/2 OR (base * height) / 2

/ = divide

* = multiply

Step-by-step explanation:

Answer:

Option D can be your answer

The true statement about geometric figure is

One plane can be drawn so it contains all three points.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.

We have three points R, S and T.

So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.

There is a plane that contains our three points if we have three separate points in 3-space.

So, For the three points R, S, and T, the third assertion is accurate.

Learn more about Plane here:

https://brainly.com/question/1962726

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Answer:

Hi, there your answer will be 3(x−1)(x+4)

Step-by-step explanation:

Answer:

x > 22

Step-by-step explanation:

Given the inequality;

52- 3x < -14

Subtract 52 from both sides

52 - 3x - 52 < -14 - 52

-3x < -14 - 52

-3x < -66

Divide both sides by -3

-3x/-3 < -66/-3

x > 22

Hence the required inequality is x > 22

Answer:

5, 100, 10, 105, 15, 110,20}

Step-by-step explanation:

The range of the function is {100, 105, 110, 115, 120, 125, 130}. The correct answer is D.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

The table

Now,

we can find the range of the function based on the input-output table:

The output values in the table are 100, 105, 110, 115, 120, 125, and 130. These are the possible pay per month that the function can produce for different hours of training.

To write the range as a set, we use curly braces {} and separate the elements by commas. We do not need to repeat any values that appear more than once in the table.

Therefore, by range of the function the answer will be {100, 105, 110, 115, 120, 125, 130}.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ7

Answer:

6^2

Step-by-step explanation:

it is a division between two power with the same base, so we have to subtract the exponents

6^(6-4) = 6^2

Answer:

36

Step-by-step explanation:

6^6/ 6^4

46656/1296

36

Answer:

(1/4)(1/4) = 1/16

Answer:

The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It's just a normal quadratic graph but flipped meaning its just negative x squared

Answer:

The total time spent in walking is [tex]\frac {15}{2x}[/tex].

Step-by-step explanation:

The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.

Total distance covered by John = 10 miles

Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.

Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.

So,

[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]

The total time spent in walking is

[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]

Answer:

(3p+10q)

Step-by-step explanation:

9p^2 - 100q^2

Rewriting

(3p)^2 - (10q)^2

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(3p-10q) (3p+10q)

Answer:

( 3p + 10 q)

Step-by-step explanation:

9 p ² - l00 q ²

(3p)² - ( 10 q) ²

( a ² - b ² = ( a + b) ( a - b) )

( 3p - 10 q) ( 3 p + 10 q)