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
jeka94
3 years ago
12

In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is

the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0

Answer:

<em>The area of the shaded region is 3.</em>

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

A_s=2 * A_t

Where At is the area of each triangle.

\displaystyle A_t=\frac{AB*BC/2}{2}

\displaystyle A_t=\frac{AB*BC}{4}

We know AB=3 and BC=2, thus:

\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}

Simplifying:

\displaystyle A_t=\frac{3}{2}

Finally:

\displaystyle A_s=2 * \frac{3}{2}

A_s=3

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

You might be interested in
Solve for d<br><br><br><br>please I will mark brainliest ​
svetlana [45]
D= -91 hope this will help you
7 0
3 years ago
*How does placing the Declaration of Independence in its historic context change its meaning?
Strike441 [17]

Answer:

Declaration of Independence was designed for multiple audiences: the King, the colonists, and the world. It was also designed to multitask. Its goals were to rally the troops, win foreign allies, and to announce the creation of a new country. The introductory sentence states the Declaration’s main purpose, to explain the colonists’ right to revolution. In other words, “to declare the causes which impel them to the separation.” Congress had to prove the legitimacy of its cause. It had just defied the most powerful nation on Earth. It needed to motivate foreign allies to join the fight.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Kayla has a t-shirt store she saw three times as many white t-shirts as blue t-shirts she had a total of 48 t-shirts how many wh
Trava [24]
Kayla sold 12 blue tshirts and 36 white tshirts
7 0
3 years ago
What is the inverse of the function F (X) equals 2X +1
Liono4ka [1.6K]

Answer: f^{-1}(x)=\frac{x-1}{2}

Step-by-step explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

f(x)=2x+1\\x=2y+1

Now solve for y

x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y

Finally, replace y with the inverse of f(x), f^{-1}(x)

5 0
2 years ago
Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Andrej [43]

Answer:

y = − x + 4

Step-by-step explanation:

Use the slope formula and slope-intercept form  y = m x + b  to find the equation.

3 0
3 years ago
Other questions:
  • Plz help I just need numbers
    9·1 answer
  • Can someone help please?!
    13·2 answers
  • What’s is the answer to 4(6)
    15·2 answers
  • What is 9/20 7/20 9/20?
    11·2 answers
  • If 36-k=4+k what is the value of K?
    14·2 answers
  • Please help <br> 64-20s+s 2squared
    12·1 answer
  • A 7-by-7 foot rug is shown. A coin is tossed onto the rug randomly. Which of these describes the probability that the coin will
    12·1 answer
  • Jillian noted that 17 of the guests said they wanted to eat a hotdog at the party hotdog buns are sold in packs of eight how man
    6·1 answer
  • ILL GIVE YOU BRAINLIEST
    12·1 answer
  • Help!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!