A rectangle with length 3 1/2 ft and width 2 1/4 ft what is the area

Given:

The bases of a trapezoid lie on the lines

[tex]y=2x+7[/tex]

[tex]y=2x-5[/tex]

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

On comparing [tex]y=2x+7[/tex] with slope intercept form, we get

[tex]m_1=2,b_1=7[/tex]

On comparing [tex]y=2x-5[/tex] with slope intercept form, we get

[tex]m_2=2,b_2=-5[/tex]

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

[tex]m=m_1=m_2=2[/tex]

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

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

[tex]b=\dfrac{7-5}{2}[/tex]

[tex]b=\dfrac{2}{2}[/tex]

[tex]b=1[/tex]

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

[tex]y=2x+1[/tex]

Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].

Answer:

Step-by-step explanation:

do you mean 3-5=-2 ?

Answer:

3+,-5 =-2

Step-by-step explanation: you mean this if you do your welcome

Answer:

By measuring the length of the sides and angles

Answer: If they are congruent, you'll see that they are exactly the same as one another. If there's measurements, they'll have the same numbers. If they are similar, they might be the same shape or just have similar measurements

Step-by-step explanation:

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

Answer:

In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.

Step-by-step explanation:

Answer:

1. $3.60

2. $8.40

3. $42

Step-by-step explanation:

Hope this helps.

Answer:

x = 6

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 25 when y = 100 , then

100 = 25k ( divide both sides by 25 )

4 = k

y = 4x ← equation of variation

When y = 24 , then

24 = 4x ( divide both sides by 4 )

6 = x

Answer:

Step-by-step explanation:

37 inches

Answer:

186.7 cubes

Step-by-step explanation:

How many LaTeX: \frac{1}{3}1 3 inch cubes does it take to fill a box with width LaTeX: 2\frac{2}{3}2 2 3 inches, length LaTeX: 3\frac{1}{3}3 1 3 inches, and height LaTeX: 2\frac{1}{3}2 1 3 inches?

Step 1

We find the volume of the box

= Length × Width × Height

Length = 3 1/3 inches = 10/3 inches

Width = 2 2/3 inches = 8/3 inches

Height = 2 1/3 inches = 7/3 inches

The volume of the box =

10/3 inches × 8/3 inches × 7/3 inches

= 560/9 cubic Inches

= 62 2/9 cubic inches

Step 2

How many 1/3 inch cubes would fill the box.

This is calculated as:= 62 2/9 cubic inches/ 1/3 inches

= 560/9 ÷ 1/3

= 560/9 × 3/1

= 186.66666667 cubes

Approximately = 186.7 cubes

Answer: 75

Step-by-step explanation:

[tex]cos \: k = \frac{adj}{hyp} = \frac{5}{13} [/tex]

//

I'm unsure about what to do after that but you can:

[tex]cos( \frac{5}{13} ) = 0.999977469[/tex]

[tex]cos \: k = 1.00[/tex]

or

[tex] \frac{5}{13} = 0.384615385[/tex]

[tex] = 0.38[/tex]

I think the first one's safer.

Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.

For the given question;

The equation becomes;

16.95 d + 6.49 h

16.95 (1.5) + 6.49 (3)

  25.425 + 19.47

        44.895 < $50

Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.

To know more about the equation, here

https://brainly.com/question/2972832

#SPJ2

Answer:

Corresponding

Step-by-step explanation:

Answer:

X is always 1+ bigger than Y

EX: if you have y as 9, X will be 10

Step-by-step explanation:

N = 9

Answer:x= 38.079

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did it on paper

Answer:

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex

Step-by-step explanation:

Answer:

cube a geometrical shape which is a three-dimensional figure. It has 6 faces, 12 edges and 8 vertices.

Step-by-step explanation:

GLOSSARY

Faces: The flat surfaces which are squre in shape

Edges: Where 2 surfaces meet (i.e, length of cube)

Vertices: Corners

The triangle KLM and triangle JKM are congruent triangle

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we may determine whether two triangles are congruent.

Given a triangle LKJ

We have to find similar triangles in the diagram so the corresponding sides and angles have the same orientation.

By the figure given we can write following things:

LK/LJ = MK/JK

LK/JK = MK/MJ

So the triangle KLM ≅ triangle JKM ≅ triangle JLK

Hence the triangle KLM and triangle JKM are congruent triangle

Learn more about congruent triangle here:

https://brainly.com/question/1675117

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Answer:

1 person  

Step-by-step explanation:

It is given that a farmer wants 5 persons to complete a work of clearing his field in ten number of days.

We have to find out the number of persons required if the farmer needs to clear his field in 2 number of days.

Therefore according to the information given :

10 days = 5 persons

∴ 1 day = [tex]$\frac{5}{10}$[/tex] persons

So  2 days = [tex]$\frac{5}{10}\times 2$[/tex] persons

                 [tex]$=\frac{5}{5}$[/tex] person

                 = 1 person

Answer: 33.3%

Step-by-step explanation:

First find the difference between the players in try-outs over the years.

= 90 - 75

= 25

Then use this difference to find the percent increase:

= Difference / Players last years * 100%

= 25 / 75 * 100%

= 33.3%

Answer:

432 more emails

Step-by-step explanation:

I) Find decimal of remaining inbox:

88% = 0.88

1 - 0.88 = 0.12

II) Find TOTAL capacity of inbox emails:

3168 / 0.88 = 3600

III) Find remaining capacity of emails:

3600 x 0.12 = 432 more emails

is this a muliple question? if so wheres the answers?

Answer:

dear the correct answers are not given so how can we choose ?

Answer:

36

Step-by-step explanation:

length*Width*height

3*2*2=12

12*3=36

Answer:

the option 3 or c is correct

Answer: I don't know/ A. f(n) = 4 + 60n

60+4n=cost. Because the number of children is multiplied by the cost for each child

i would say f(n)=60 +4n but i am probably wrong

Step-by-step explanation: other brainly's

f(n) = 4n + 60...or f(n) = 60 + 4n

f(n)=60+4n that is the correct answer!!!!!!

Answer:

32N

Step-by-step explanation:

Given data

A1= 2cm^2

A2= 16cm^2

F1= 4N

F2=???

Applying the formula

Presure= force/area

P=F/A

F1/A1=F2/A2

substitute

4/2= F2/16

cross multiply

F2= (16*4)/2

F2= 64/2

F2= 32N

Hence the output force is 32N