All categories

3 years ago

Need Help Fast!!! 10 points!

Mathematics

1 answer:

Aleksandr [31]3 years ago

5 0

EF = 12

Step-by-step explanation:

Step 1 :

The square of side 18 in is divided into 3 parts of equal area by the polygonal chain

So we have

Area of the figure ABCE = Area of the figure AECF = Area of the figure AFCD

Step 2 :

Area of figure ABCE is Area of the triangle AME + Area of the trapezium EMBC

Area of triangle AME = 1/2(ME )(AM) where ME is the base and AM = 9 is the height of the triangle ( AM = 9 since M is the midpoint of AB)

Area of triangle AME = 1/2(ME )9 = 9/2(ME)

Area of the trapezium EMBC = 1/2(ME +BC)(MB) Where ME and BC are the 2 parallel sides and MB is the distance between them

Area of the trapezium EMBC = 1/2(ME+18)9 = 9/2(ME+18)

Therefore

Area of figure ABCE = 9/2(ME) + 9/2(ME+18)

= 9/2(ME +ME+18)

But we know that the area of this figure is 1/3 of the area of the square = 1/3(18*18) = 108

So, 9/2(ME +ME+18) = 108 => 2 ME + 18 = 24 = > ME = 3

Step 3 :

Using the same procedure as above we get, FN = 3

Also we have

ME + EF + FN = 18 ( side of the square)

3 + EF + 3 = 18 => EF = 12

You might be interested in

The graph of y = f(x) is shown below. Determine the value of x when f(x) = -4? ? y 10 9 8 7 6 5 ur 4 3 NO C 2 1 X -10 -9 -8 -7 -

Brilliant_brown [7]

Answer:

Step-by-step explanation:

the function f(x) is a straight line. The "-4" means that the graph moves down 4 units. Point A is at y=-4, so this is the point. You can graph the equation and you'll see that it hits point A.

4 0

3 years ago

Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you

kondaur [170]

7 is the most

Hope this helped :)

7 0

3 years ago

A car is traveling at 70 miles per hour on the highway. Which equation could you use to calculate the distance, d, the car trave

slamgirl [31]

Answer:

d = 70t

Step-by-step explanation:

The units of speed tell you how to write the equation.

speed = miles/hour

Multiplying by hours gives ...

speed · hours = miles

Using the required variables and the given speed, you have ...

70t = d . . . . . time in hours, distance in miles

4 0

3 years ago

Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the

AlexFokin [52]

Answer:
The claim is correct

Explanation:
Assume the given triangle ABC
perimeter of triangle ABC = AB + BC + CA ............> I

Now, we have:
D is the midpoint of AB, this means that:
AD = DB = (1/2) AB ..........> 1
E is the midpoint of AC, this means that:
AE = EC = (1/2) AC ...........> 2
DE is the midsegment in triangle ABC, this means that:
DE = (1/2) BC ...........> 3
perimeter of triangle ADE = AD + DE + EA
Substitute in this equation with the corresponding lengths in 1,2 and 3:
perimeter of triangle ADE = (1/2) AB + (1/2) BC = (1/2) AC
perimeter of triangle ADE = (1/2)(AB+BC+AC) .........> II

From I and II, we can prove that:
perimeter of triangle ADE = (1/2) perimeter of triangle ABC
Which means that:
perimeter of midsegment triangle is half the perimeter of the original triangle.

Hope this helps :)

7 0

3 years ago

Is this true 1/2 >0.25

Lesechka [4]

Yes, 1/2 is 0.50. So it is greater than 0.25.

6 0

3 years ago

Read 2 more answers