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3 years ago

Following facts are given ABCD is a parallelogram

Mathematics

1 answer:

julia-pushkina [17]3 years ago

6 0

Triangle EDC is similar to Triangle CBF by angle angle. Angle B is congruent to angle D because in a parallelogram opposite angles are congruent. Angle BFC is congruent to angle ECD because parallel lines imply alternate interior angles are congruent. FC=7 DC=16 2/3 EC=10

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While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at

tekilochka [14]

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) = speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

$23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)$

simplifying the equation, we get

$23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)$

$23(2.8+2.8)/29=2.8^2-x^2$

$x^2=(2.8)^2-(23*5.6)/29)=3.4$

$x=\sqrt{3.4}=1.84m/s$

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

To learn more about Speed refer to:

brainly.com/question/4931057

#SPJ4

4 0

2 years ago

Look at this graph:

andreev551 [17]

Answer:

The slope is 2/1.

Step-by-step explanation:

y2 - y1 /x2 - x1

6 - 4/ 2 - 1

2/1

8 0

3 years ago

Easy! please help! <br><br> 17% is equivalent to? A. 17/100, B. 17 to 100 C. 17:100

nika2105 [10]

The answer is a obviously

3 0

3 years ago

Read 2 more answers

Kate made a box to hold her jewelry collection. She used 42 inches of wood to build the sides of the box. If the box was 9 Inche

Vladimir [108]

Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.

9 + 9 = 18

42 - 18 = 24

So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.

24 / 2 = 12

The length of Kate's jewelry box is 12 inches.
Hope that helped =)

3 0

3 years ago

Seven people can paint a bridge in 15 days.

Aleksandr [31]

Answer:

a) 3 people will need 35 days to paint the bridge

b) p=105/t

Step-by-step explanation:

We have 7 people each one is to work 15 days, so the bridge needs a total of 7(15) days of work

7(15)=105

Then we have 3 people each one is to work t days, altogether should do a total of 105 days of work

3(t)=105

Solve for t

t=35

Substitute p for 3 in the second equation

p(t)=105

Solve for p

p=105/t

8 0

3 years ago