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inn [45]
3 years ago
10

AB = 3x

Mathematics
2 answers:
notsponge [240]3 years ago
7 0

Answer:

6,4

Step-by-step explanation:

Anvisha [2.4K]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

If a parallelogram then AB = DC and AD = BC

Equating AB = DC, then

3x = x + 4 ( subtract x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus

AB = 3x = 3(2) = 6 and DC = x + 4 = 2 + 4 = 6 ⇒ AB = DC

Equating AD and BC, then

2y = y + 2 ( subtract y from both sides )

y = 2

Thus AD = y + 2 = 2 + 2 = 4 and BC = 2y = 2(2) = 4 ⇒ AD = BC

Since opposite sides are congruent then ABCD is a parallelogram

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Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
creativ13 [48]

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

m = 4 = slope

b = 0 = y intercept

The y intercept is the value of y when x = 0.

--------

Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

----------

A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

7 0
3 years ago
chelsea deposits $600 into a bank account and is earning simple interest.After 4 years her account has a balance of $621.60.If C
olga nikolaevna [1]
If she deposited $600 and had $621.60 after four years, then she earned: $621.60 - $600 = $21.60 in four years. It means in one year she earned $21.60 ÷ 4 = $5.40. Now we have to find out how many percent of $600 is $5.40:

$5.40 = x% from $600
5.4 = x/100 * 600
5.4 = 600x/100                 / * 100 (both sides)
540 = 600x                       / ÷ 600 (both sides)
x = 0.9

So the interest rate was 0.9% annually.

Now we have to find out how much is 0.9% from $1100:

$1100 * 0.9% =
= 1100 * 9/1009 =
= 9900/1000 =
= 9.9

It means in one year she would earn $9.90. After 7 years she would earn $9.90 * 7 = $69.30, so she would have in her account:

$1100 + $69.30 = <u>$1169.30</u>
8 0
3 years ago
MY LAST QUESTION PLEASE HURRY, SORRY FOR RUSHING BY THE WAY
77julia77 [94]

Answer:40

Step-by-step explanation:

dividing 1200 by 600 is 2

so you would do the same for 80

6 0
3 years ago
375000000 divided by 1570000000
Zielflug [23.3K]

Answer: 0.238853503185

(I obviously used a calculator.)

If you rounded this answer, it would be 0.24. Hope this helps!

8 0
3 years ago
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prohojiy [21]

Answer:

6 degrees

Step-by-step explanation:

8 0
3 years ago
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