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Vlada [557]
3 years ago
15

Help please solve for x.

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

x=\frac{60}{7}\ units  or  x=8\frac{4}{7}\ units

Step-by-step explanation:

<u><em>The correct question is</em></u>

The two rectangles show are similar. Find the value of x

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

\frac{20}{14}=\frac{x}{6}

solve for x

x=\frac{20}{14}(6)

x=\frac{120}{14}\ units

simplify

x=\frac{60}{7}\ units

convert to mixed number

x=\frac{60}{7}\ units=\frac{56}{7}+\frac{4}{7}=8\frac{4}{7}\ units

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Question 5^ Need help ... ASAP ... your help is really appreciated ...
goblinko [34]

Answer:

See below

Step-by-step explanation:

I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)

Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=\frac{13}{4} and 11/4=\frac{11}{4}. Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

\frac{13}{4}*3 = \frac{39}{4}\\ 8-\frac{39}{4} =  \frac{-7}{4}\\\frac{11}{4}*3 = \frac{33}{4}  \\-2+\frac{33}{4} = \frac{25}{4}

Therefore, our point that partitions CD into a 3:1 ratio is (\frac{-7}{4}, \frac{25}{4}).

I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.

Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.

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