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
Nesterboy [21]
3 years ago
8

ABDC is a trapezoid. Line AB = 2.5, and Line EF = 4.5. What is the length of Line CD ?

Mathematics
2 answers:
Darina [25.2K]3 years ago
6 0
The line CD is the median of thre trapezoid, therefore its measures is shown below:
 You must sum the largest base and the shortest base and divide both of them by 2, as following:
 CD=(4.5+2.5)/2
 CD=7/2
 CD=3.5
 Therefore, as you can see, the measure of the line CD is 3.5
 The answer is: 3.5
mezya [45]3 years ago
5 0
The correct answer is 3.5

A trapezoid is a 4-sided flat shape with straight sides. This shape has a pair of opposite sides parallel. So according to the figure we know the following:

\overline{AC}=\overline{CE}

And it is also true that:

\overline{BD}=\overline{EF}

We know that the lengths of the parallel sides are given by:

\overline{AB}=2.5 \\ \\ \overline{EF}=4.5

So the goal is to find the length of Line CD. This line is in fact the <em>median</em> of the trapezoid <span>(also called a midline or midsegment) that is a line segment half-way between the two bases and it can be found as follows:
</span>
m=\frac{\overline{AB}+\overline{EF}}{2}=\frac{2.5+4.5}{2}=\frac{7}{2} \\ \\ \therefore \boxed{\overline{CD}=m=3.5}
You might be interested in
HELP ASP Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sel
Nataliya [291]

5.57 + 3.38 =
$8.95
15.99 - 8.95 = 7.04
4 0
3 years ago
The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s
sweet [91]

Answer:

<h2>Below, Hope this helps :)</h2>

Step-by-step explanation:

The variable t represents the amount of gas in mom's truck. Since we need to find a number that is 50% more than 12, we use 1.5 (we would use 2 if we want 100% more, so it makes sense that we use 1.5, since we want to add 1/2 of 12 to 12. The answer is 18.)

6 0
3 years ago
What does the ratio of the circumference to the diameter represent? Explain
snow_tiger [21]
That is the exact representation of the constant π.  By definition:

π=C/d, where C is the circumference of a circle and d is the diameter.
6 0
3 years ago
What is another way to write 54 ?
Luba_88 [7]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which of the following is true with respect to the following functions:
Mkey [24]

The option that is true with regard to the following functions is Option B. "The domain g(x) and h(x) include all real number while the domain of i(x) and h(x) are restricted"

<h3>What is the explanation for the above?</h3>

  • Lets examine f(x) = 3x + 14

Note that this function is indicative of a straight-line. See the attached graph for function 1. Note that it doesn't have any end points. That is, it is Asymptote.

  • Let us examine h(x) = 3ˣ + 1

This represents an exponential graph. Just like the function above it doesn't have any end point. It however has an asymptote:

y = 0

  • Let us look at F'(x) = Log₃ (x = 1).

This is indicative of logarithm graph. It doesn't have any end but has an asymptote x == 0

  • Let us take a look at g(x) = X⁴ + 3x² - 14

Notice that in the mid point there is an end point given as (0, -14). Thus, it is correct to state that the function in Option B is the only one that exhibits end behavior and as such is restricted.

Learn more about functions:
brainly.com/question/17043948
#SPJ1

5 0
1 year ago
Other questions:
  • O
    5·2 answers
  • -5(4x-2)=-2(3+6x) multi step equation
    10·1 answer
  • The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.
    6·1 answer
  • Please help me I will give u a brainliest only if correct
    15·2 answers
  • Write to polynomial in standard form then name the polynomial based on its degree and number terms.
    15·1 answer
  • What is the weight of the piece of aluminum shown below at 0.0974 ​lb/​in^3? ​(Hint: Subtract the volume of the cylindrical​ hol
    12·1 answer
  • Plzzzzzz helpppppp plzzz
    6·2 answers
  • What's the slope for (-3,8) and (0,4)
    13·2 answers
  • What is the value of the expression below?<br><br> −20÷5
    15·2 answers
  • 3x - 5y = 4, -2x + 6y = 18 (system of equations)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!