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kakasveta [241]
3 years ago
5

3. Which expression is equivalent to the expression shown below?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
7 0

Answer:

option a

Step-by-step explanation:

we have:

7/2x-3(5x-1/2)

apply distributive property we have:

7/2x-3*5x-3*(-1/2)

7/2x-15x+3/2

7/2-15=-23/2

so we have:

-23/2x+3/2

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In the diagram below angle AED=(4n-20)° and angle BEC=(2n-16)°. What is the measure of angle CED in degrees
Pavlova-9 [17]

Check the picture below.

so, bearing in mind that vertical angles are equal, thus ∡AED = ∡BEC, and we know that ∡BEC = 52 = ∡AED, so those two angles added up are 104°.

now, a circle has a total of 360°, if we take away those 104° from the red angles, what's leftover is just 256°, well, the green angles there are also vertical angles and thus twins, so each one will take half of 256°.

∡BEA = 128° = ∡CED.

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3 years ago
Show your work and check answer.<br> -3x=5x+8
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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

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What do we mean when we say that a distribution is​ symmetric?
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Answer:

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Step-by-step explanation:

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