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3 years ago

What is the length of the mid-segment DE?

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Answer:

The midsegment is one-half the length of the base

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Subtract 8.3 – 2.57 =

likoan [24]

Answer:

5.73

Best of luck

Step-by-step explanation:

4 0

3 years ago

Calculate the area of triangle ABC with altitude CD, given A (6,0) B(1,5) C (2,0) and D (4,2)

Elina [12.6K]

So hmm check the picture below

the height or altitude is CD
and the base is AB

how long are those? well $\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ 6}}\quad ,&{{ 0}})\quad 
% (c,d)
B&({{ 1}}\quad ,&{{ 5}})\\\\
C&({{ 2}}\quad ,&{{ 0}})\quad 
% (c,d)
D&({{ 4}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
AB=\sqrt{(1-6)^2+(5-0)^2}\qquad \qquad CD=\sqrt{(4-2)^2+(2-0)^2}$

7 0

3 years ago

Read 2 more answers

Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers

ella [17]

Answer:

The Relative Frequency Table is:

<u> Manufacturer Relative Frequency </u>

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer Relative Frequency

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

3 0

3 years ago

Factor completely 6x²-4x -2

swat32

$6x^2-4x -2 \\ \\ GCF = 2 \\ \\ 2( \frac{6x^2}{2} + \frac{-4x}{2} - \frac{2}{2} \ / \ factor \ out \ GCF \\ \\ 2(3x^2 - 2x - 1) \ / \ simplify \ terms \\ \\ 2(3x^2 + x - 3x - 1) \ / \ factor \\ \\ 2(x(3x+1) - (3x + 1)) \ / \ factor \ out \ common \ terms \\ \\ 2(3x+1)(x - 1) \ / \ factor \ out \ common \ term \\ \\ Answer: \fbox {2 (3x + 1)(x - 1)}$

7 0

3 years ago

Read 2 more answers

Based on the picture..Find the area in terms of xFind the perimeter in terms of x

Vlad1618 [11]

The area of a rectangle is given by the product of its dimensions.

If this rectangle has a length of 2x + 7 and a width of x + 4, its area is:

$\begin{gathered} \text{Area}=\text{length}\cdot\text{width} \\ \text{Area}=(2x+7)(x+4)_{} \\ \text{Area}=2x^2+8x+7x+28 \\ \text{Area}=2x^2+15x+28 \end{gathered}$

The perimeter is the sum of all side lengths, so we have:

$\begin{gathered} \text{Perimeter}=(2x+7)+(x+4)+(2x+7)+(x+4) \\ \text{Perimeter}=6x+22 \end{gathered}$

6 0

1 year ago