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AVprozaik [17]
3 years ago
11

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

<em>The length of the side BC is 6 units</em>

Step-by-step explanation:

<u>Distance Between two Points in the Plane</u>

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We need to calculate the distance between B(7,5) and C(7,-1):

d=\sqrt{(7-7)^2+(5+1)^2}

d=\sqrt{36}

d=6

The length of the side BC is 6 units

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In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0
3 years ago
3) The table below shows the number of cups of ginger
JulijaS [17]
So column A needs to all be the same multiples of 4 so 4•3 is 12 and so other multiples need to be placed
3 0
3 years ago
It's said to say my question, but it's in the pic, so I don't know what to say. <br> But thanks
BARSIC [14]

Answer: A,  or 0.2x

Step-by-step explanation:

To figure how expressions and percent's match up, replace the x with an easy number. For example, I use 4.

20% of 4 is 0.8, and 4 x 0.2 is also 0.8

Therefore, the expression to represent that percentage is A.

Also, the other answers were WAYYY off.  

B,  or x - 20 is flawed since x could be anything.

C, is also flawed in the same way.

And D makes -76.

A is the only sensible one and is proven to work.

Hope this helped!

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3 0
3 years ago
ABC Computers sold 30tablets. this week. their.goal is 33% more next. week Graph a inequality that represents their goal.
Grace [21]
Next week they will want to sell 40 tablets
8 0
3 years ago
Dara invests $800 at 12.5% per
VARVARA [1.3K]

Answer:

By the end of the first year Dara will have $903.125 in his account.

Step-by-step explanation:

Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:

M(t) = M(0)*(1 + r/n)^(n*t)

Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.

In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:

M(1) = 800*(1 + 0.125/2)^(2*1)

M(1) = 800*(1.0625)^(2)

M(1) = 800*(1.0625)^(2) =903.125

By the end of the first year Dara will have $903.125 in his account.

3 0
3 years ago
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