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
KonstantinChe [14]
3 years ago
13

Which statement best describes the area of Triangle ABC shown below?

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

  It is one-half the area of a rectangle with sides 4 units × 3 units

Step-by-step explanation:

One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.

The opposite vertex has y-value 5, so is 3 units away from the line y = 2.

The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...

  A = (1/2)bh

we find the area to be ...

  A = (1/2)×(4 units)×(3 units) . . . . triangle area

__

A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...

  A = (4 units)×(3 units) . . . . rectangle area

Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.

You might be interested in
Order the rational numbers from least to greatest. -3/4. -0.85. 0.55. 1/4. -0.9. -1/2​
trasher [3.6K]

Answer:

-0.9, -0.85, -3/4, -1/2, 1/4, 0.55

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The steps for adding mixed numbers with unlike denominators are very ____________
raketka [301]

Answer:

imma need my points back

Step-by-step explanation:

5 0
2 years ago
What is the simplified form of 2 over x squared plus x minus 1 over x ?
Dmitriy789 [7]
I hope this helps you

4 0
3 years ago
Read 2 more answers
What is 12/13 times 10/11
vitfil [10]
120/143. 12 x 10 is 120, and 13 x 11 is 143. It is already in simplest form.
8 0
2 years ago
Read 2 more answers
From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is 67 degrees. Estimat
Nataliya [291]
A diagram would surely help here.  But imagine that you stand at spot A and someone finds that your distance from the base of the building is 42 feet.  Call this point B.
 
Imagine a vertical line from that spot, straight up.  Label the top of this line C.

The acute angle at A is 67 degrees.  You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
The length of the "adjacent side of triangle ABC" would be 42 feet.

We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.

We choose the tangent function to solve for the height of the building (which is the length of the opposite side. 

                                                                         height
By definition, tangent (67 degrees) = -------------------------------------
                                                                       42 feet

Find tan 67.  Multiply your result by 42 feet.  This product is the height of the building.
7 0
3 years ago
Other questions:
  • When a number x is multiplied by 9, the result is 3/5 . What is the value of x? Drag and drop the correct number into the box so
    8·2 answers
  • Nestor need 750 centimeters of rope . Rope comes in lengths of 4 1/2 meters and 9 meters at the hardware store. Which length of
    10·1 answer
  • Choose the correct description of the graph of the compound inequality: 3x + 2 > 5 and 3x less than or equal to 9 A:number li
    12·2 answers
  • Find the equation equivalent to 2x=4 which is a multiple of 3
    8·1 answer
  • The total area of two rectangles is 13 1/4 square inches. The dimensions of each rectangle are shown below: A: length = 2 inches
    11·1 answer
  • (x + 5)2 + (y - 7)2 = 36, its radius is
    14·1 answer
  • This polygon has a perimeter of 39 centimeters. What is the length of side A?
    13·2 answers
  • What is the solution
    14·1 answer
  • A restaurant sells 10 tacos for $8.49, or 6 of the same kind of taco for $5.40. Which is a better deal? Explain how you know.
    14·1 answer
  • 25<br> Find the value of<br> 20
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!