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Ymorist [56]
3 years ago
14

Given the diagram below, what is the length of segment EF?

Mathematics
2 answers:
grigory [225]3 years ago
8 0

Answer:

D) 5

Step-by-step explanation:

This is the median of the trapezoid.  It is the line segment that connects the midpoints of the non-parallel sides of the trapezoid.

The length of the median of a trapezoid is equal to 1/2 the sum of the bases; this makes ours

1/2(3.3+6.7) = 1/2(10) = 5

labwork [276]3 years ago
6 0

Answer:   D. 5

Step-by-step explanation:

In the given figure , we have give a trapezioid ABCD with parallel sides BC= 3.3 units and AD= 6.7 units.

Also, E and F appears as the mid points of non parallel sides AB and CD and parallel to the bases BC and AD.

⇒ EF would be the median of trapezioid ABCD.

Also, we know that , the length of the median of a trapezoid equals to one-half the sum of the lengths of the two bases.

i.e. length of EF = \dfrac{1}{2}(AD+BC)

i.e. length of EF = \dfrac{1}{2}(6.7+3.3)

i.e. length of EF = \dfrac{1}{2}(10)

i.e. length of EF = 5 units.

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Answer:

Yes

Step-by-step explanation:

6 0
3 years ago
Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i
elena55 [62]
<span>Let the extension of the length and width be x.
 The new dimensions are: Length = 8+x
  Width =3+x
 Area = 104 ft squared
 Area of a rectangle = Length x Width
 Therefore,
(8+x)(3+x) = 104
 x^2 +11x +24=104
 x^2 +11x +24-104=0
 x^2 +11x-80=0

 Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.</span>
4 0
3 years ago
If the start time is 8:34 amd the elapsed timne is 3 hours and 18 minutes what is the end time
mr_godi [17]
Forget the '34' part of 8:34 and the '18' minutes from 3 hours and 18 minutes for now.

Just add 3 hours on to 8, to get 11. Then, bring back the 34 and 18 and add them together. 34 + 12 = 52. Now put that 52 on the end of the 11, and you get 11:52 as the end time. 
3 0
3 years ago
Read 2 more answers
Quiz 1-2: Distance &amp; Midpoint; Partitioning a Segment
nadya68 [22]

The distances between the given pairs of points are:

  • (-8, -2) and (6, -1);  d = 14.04
  • (-4, 5) and (4,0); d = 9.85
<h3>How to find the distance between two points?</h3>

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

d = √( (x₁ - x₂)^2 - (y₁ - y₂)^2)

1) The first pair of points is (-8, -2) and (6, -1), using the above formula we can see that the distance is:

d = √( (-8 - 6)^2 - (-2 +1)^2) = 14.04

2) The second pair is (-4, 5) and (4,0), and using the distance formula, we get:

d = √( (-4 - 5)^2 - (4 - 0)^2) = 9.85

If you want to learn more about the distance between points:

brainly.com/question/7243416

#SPJ1

3 0
1 year ago
What is the solution of this system of linear equations? 3y = 3 y equals StartFraction 3 over 2 EndFraction x plus 6.X + 6 y – S
Scrat [10]

Answer:

(0,6)

Step-by-step explanation:

The given system of equations is

y =  \frac{3}{2}x + 6

and

\frac{1}{2}y -  \frac{1}{4}x = 3

We substitute the first equation into the second equation to get:

\frac{1}{2} ( \frac{3}{2}x + 6) -  \frac{1}{4}x = 3

We expand to get:

\frac{3}{4} x + 3 -  \frac{1}{4}x = 3

We group similar terms to get:

\frac{3}{4}x -  \frac{1}{4}x = 3 - 3

\frac{1}{2}x = 0

x = 0

Put x=0 in to the first equation to get:

y = 6

Therefore the solution is (0,6)

3 0
3 years ago
Read 2 more answers
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