1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paraphin [41]
2 years ago
9

The area of rectangle ABCD is 72. If point A and the midpoints of BC and CD are joined to form triangle, the area of that triang

le is
Mathematics
1 answer:
vredina [299]2 years ago
3 0

Answer:

  27

Step-by-step explanation:

Name the midpoint of BC point M and the midpoint of CD point N.

Triangle ABM has the 1/4 the area of the rectangle, 18. Triangle ADN also has 1/4 the area of the rectangle, 18. Triangle CMN has 1/8 the area of the rectangle, 9. That is, of the rectangle area, ...

  18 + 18 + 9 = 45

are not included in triangle AMN. So, the area of that triangle is ...

  72 -45 = 27 . . . . units²

_____

<em>Comment on the triangle area</em>

The triangle created by joining the midpoint of the side of a rectangle with an opposite vertex will have the same dimension as the rectangle in one direction (L), and half the dimension of the rectangle in the other direction (W). Thus, where the rectangle area is LW, the triangle area is (1/2)(L)(1/2W) = (1/4)LW, 1/4 the area of the rectangle.

Similarly, if the midpoints of adjacent sides are joined to form a triangle, the area of that is (1/2)(1/2L)(1/2W) = (1/8)LW, or 1/8 the area of the rectangle.

You might be interested in
AP calculus HW Need help on #61
Yuki888 [10]
Expanding the limit, we get (x^2+2x∆x+∆x^2-2x-2∆x+1-x^2+2x-1)/<span>∆x

Crossing the 1s , the 2xs, and the x^2s out, we get

(2x</span>∆x+∆x^2-2∆x)/<span>∆x

Dividing the </span><span>∆x, we get 
2x+</span><span>∆x-2. 

Making the limit of </span><span>∆x=0, we get 2x-2.</span>
7 0
3 years ago
Two thirds of 24 students in our reading class finished their homework. How many did not finish?
Kruka [31]
About 10 to 12 students did not finish 
4 0
3 years ago
Read 2 more answers
A boat traveled 150 miles downstream (with the current) and back (against the current). The trip downstream took 10 hours. The t
Margarita [4]

Answer:

b= 10 miles/hr and c= 5 miles/hr

Step-by-step explanation:

Let it's downstream and upstream speed be d and u respectively

also speed of the boat be b and speed of stream be c.

as per question d = 150/10= 15 miles/hr

and, u= 150/30= 5 miles/hr

also we know d= b+c = 15.....i and u = b-c= 5....ii

solving i and ii we get b= 10 miles/hr and c= 5 miles/hr

3 0
2 years ago
Last year a large trucking company delivered 5.5 x 10^5 tons of goods with an average value of $23,000 per ton. What was the tot
evablogger [386]
<span>5.5*10^5 = 550,000 tons

</span><span>$23,000 per ton 
</span>
23,000 x 550,000 = <span>$12,650,000,000 (total value)

</span>Now to convert to scientific notation.

<span>1.265 x 10^10
</span>
Hope that was useful :)
8 0
3 years ago
The table below contains values for a linear relationship. One value from the table is missing.
kifflom [539]

The missing value is -3.

Step-by-step explanation:

Step 1; First, we need to determine the equation relating the x to the y values in the table. y is the dependent value whereas x is the independent value i.e. the value of y depends on the value of x.

Step 2; If we multiply the value of x with -2 and add the resulting answer with 1 we get the value of y.

y = -2x + 1 is the equation that relates the values in the table.

Step 3; Now we substitute the values in the equation

For x = 3, y = -2(3) + 1 = -6 + 1 = -5,

For x = -1, y = -2(-1) + 1 = 2 + 1 = 3,

For x = 0, y = -2(0) + 1 = 0 + 1 = 1,

For x = 2, y = -2(2) + 1 = -4 + 1 = -3,

For x = 4, y = -2(4) + 1 = -8 + 1 = -7,

For x = 7, y = -2(7) + 1 = -14 + 1 = -13.

So the value of y when x = 2 is -3.

8 0
3 years ago
Other questions:
  • FIRST TO ANSWER GETS BRAINLIEST! Find the perimeter
    9·2 answers
  • What is the solution for 3x+10y-12z=40
    11·1 answer
  • Please help at answer least one question please number it!!
    13·2 answers
  • Find the area of this parallelogram<br>8cm<br>10cm<br>14cm​
    11·1 answer
  • What is the probability of rolling a six on a fair die?
    9·1 answer
  • Andre has a $73 in his bank account and writes a check for $86. After the check has been cashed, what will the bank balance show
    11·1 answer
  • You roll a number cube one time.<br> What is the probability of not rolling a 8 or a 10?
    11·1 answer
  • HELP HELP I NEED AWNSER
    11·1 answer
  • What is the speed of a car that goes 299 kilometers in 2 hours?
    7·1 answer
  • in the figure below, point B is on line segment DC. If AB = BC, what is the measure of angle ABE? FREE BRAINlIEST FOR THE FIRST
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!