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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}
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pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b
goldenfox [79]

Answer:

15 mph

Step-by-step explanation:

Given: Boat took 2 hours to reach Town A going upstream.

           Speed of stream= 3 mph

           Time taken to reach back home= 1 hours 20 minutes

Lets assume distance covered one side be "d" and speed of boat in still water be "s".

∴ Speed of boat in upstream= (s-3) \ mph

   Speed of boat in downstream= (s+3)\ mph

Also converting into fraction of time taken to reach back home.

Remember; 1 hour= 60 minutes

∴ Time taken to reach back home= 60+20= 80\ minutes

Converting time given into fraction= \frac{80\ minutes}{60\ minutes} = \frac{4}{3} \ hours

hence, Time taken to reach back home is \frac{4}{3} \ hours

Now forming equation of boat travelling upstream and downstream, considering distance remain constant.

We know, Distance= speed \times  time

⇒ (s-3)\times 2= (s+3)\times \frac{4}{3}

Using distributive property of multiplication

⇒2s-6= \frac{4}{3}s +4

subtracting both side by \frac{4}{3} s

⇒2s-\frac{4}{3} s-6= 4

Adding both side by 6

⇒ 2s-\frac{4}{3} s= 10

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3 years ago
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NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

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Learn more about the arithmetic sequence here:

brainly.com/question/6561461

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melomori [17]

Answer:

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Length of HI = 10 (reason: HI and IJ are congruent)

8 0
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