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
Degger [83]
2 years ago
14

Segment EF is the midsegment of trapezoid ABCD. Find the length of segment EF if segment AB is 20 and segment CD is 12.

Mathematics
2 answers:
Vika [28.1K]2 years ago
7 0

Midsegment = 1/2(base1 + base2)

EF = 1/2(AB + CD)

EF = 1/2(20 + 12)

EF = 1/2(32)

EF = 16

Answer

EF = 16

irakobra [83]2 years ago
3 0

Answer:

The length of the mid-segment EF is 16.

Step-by-step explanation:

In this exercise the main idea is to know the formula for the mid-segment of a trapezoid. This formula should be well known because it is used to find the area of a trapezoid.

If we denote the mid-segment of a trapezoid as m, the larger basis as B and the smaller basis as b, the formula states:

m = \frac{B+b}{2}.

In this particular exercise m=EF, B=AB and b=DC.

Thus,

EF = \frac{DC + AB}{2} = \frac{20+12}{2} = \frac{32}{2} = 16.

You might be interested in
a tank can hold up to 500 gallons of water.A gauge reading shows that it is at 80% of its capacity. How many more gallons can it
Paha777 [63]
So we start out by finding out what 80% of 500 is by,

500 * .80 = 400

So if 80% is 400 that means that there is still space available for 100 more gallons! 

How the heck did we know that?!? 

simple 500- 400= 100 

So that leaves us knowing that there are 100 gallons left that can be held!! :) 

                            So your answer is 100 gallons!! 

I hope that this helped!
7 0
3 years ago
The terminal side of an < θ intersects the Unit Circle at point P=(5/6, -√11/6)
arlik [135]

Given that the terminal side of an <θ intersects the unit circle at the point

P(\frac{5}{6},\frac{-\sqrt[]{11}}{6})

From the given point P:

\begin{gathered} x=\frac{5}{6} \\ y=\frac{-\sqrt[]{11}}{6} \\ \text{ s}ince,\text{ x is positive and y is negative, the angle lies in the 4th quadrant} \end{gathered}\begin{gathered} \tan \theta=\frac{\text{ opposite}}{\text{Adjacent}}=\frac{y}{x} \\ \tan \theta=\frac{\frac{-\sqrt[]{11}}{6}}{\frac{5}{6}}=\frac{-\sqrt[]{11}}{5} \\ \tan \theta=-0.6633 \\ \theta=326.44^0 \end{gathered}

8 0
10 months ago
Find the following F(0)
Arte-miy333 [17]

f(0) means x = 0

Since x = 0 less than 2 so we are using f(x) = -x + 2

Substitute x = 0 into f(x) = -x + 2

f(0) = -0 + 2

f(0) = 2

Answer

2

6 0
2 years ago
What is the slope of this line?
ruslelena [56]

Answer:

-1 is the slope

Step-by-step explanation:

5 0
3 years ago
(05.05) On a coordinate plane the coordinates of vertices R and T for a polygon are R(-7, 3) and T(3,3). What is the length of S
Talja [164]

Answer:

c) 10 units

The length of side RT of the polygon  RT = 10

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the coordinates of vertices R and T

R( -7 ,3) and T (3 ,3)

we have to find the length of side RT

We will use distance formula

RT  = \sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }

<u><em>Step(ii):-</em></u>

RT  = \sqrt{(3-3)^{2} +(3-(-7))^{2} }

RT  = \sqrt{0+(10)^{2} }

RT = √100

RT = 10

The length of side RT of the polygon  RT = 10

6 0
2 years ago
Other questions:
  • What is the prime factorization of 27
    13·2 answers
  • What is the measure of the secant DE?
    5·1 answer
  • A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.
    14·1 answer
  • Please help !!!!!!!!!!
    13·2 answers
  • A stock person at Walmart has decided that they would like to completely
    10·1 answer
  • Alex bikes 2 3/4 miles. Then, she runs 1 2/4 miles. The distance she bikes is how many times the distance she runs?
    15·1 answer
  • What is the domain for the function below?<br> Х 1 3 5 7 Y 2 4 6 8
    13·1 answer
  • 3c - b = 2a solve for c
    15·2 answers
  • solve each triangle described below round measures of sides to the nearest tenth and angles to the nearest degree a=14 c=20 b=38
    6·1 answer
  • What is the greatest common factor of 12 and 6?​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!