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butalik [34]
2 years ago
15

Find the value of x

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
7 0

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

<em>108 = 1/2 * x * (x + 6)</em>

<em>x² + 6x = 216</em>

<em>x² + 6x - 216 = 0</em>

<em>x² + 18x - 12x -216 = 0   (Splitting the middle term)</em>

<em>x(x + 18) - 12(x + 18) = 0</em>

<em>(x + 18) (x - 12) = 0</em>

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

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A credit card company uses these rules to calculate the minimum amount owed: For a bill of less than $100, the entire amount is
Mashutka [201]

Answer:

B. graph B

Step-by-step explanation:

The graphs of A,B,C and D are attached below.

Let x represent the credit amount  and y represent the minimum amount due.

For a bill of less than $100, the entire amount is due. That is for 0 ≤ x < $100, y = x

For a bill of at least $100 but less than $500, the minimum due is $100. That is for $100 ≤ x < $500, y = 100

For a bill of at least $500 but less than $1,000, the minimum due is $300. That is for $500 ≤ x < $1000, y = $300

For a bill of $1,000 or more, the minimum due is $500. But the credit limit is $2000. That is For $1000 ≤ x < $2000, y = $500

The graph that shows the minimum amount due for a credit amount of x  is graph B

3 0
3 years ago
Find the value of X. Then find the measure of each labeled angle.
wariber [46]
Both angles WILL have the same measure.

So,

3x-10= x+40 (you have to set the equations equal to one another)


Now, add 10 to both sides.

3x=x+50

Subtract x on both sides.

2x=50

Divide both sides by 2.

x=25

Now, plug in x.

(25 +40)= 65

(3(25)-10)= 65

x equals 25 and both angles are equal to 65. Or "B".

I hope this helps!
~cupcake
5 0
2 years ago
The probability distribution for a game is shown in the table below.
nydimaria [60]

Given:

It is given that

Probability of winning $ 0 = \frac{3}{10}

Probability of winning $ 100 = \frac{1}{5}

Probability of winning $ 200 = \frac{1}{10}

Probability of winning $ 500 = \frac{2}{5}

To find the probability of not winning a cash prize.

Explanation:

Not winning cash prize = winning $ 0

So,

Probability of not winning a cash prize

= Probability of winning $ 0

= \frac{3}{10}

Therefore,

The probability of not winning a cash prize is \frac{3}{10}. Option D.

4 0
3 years ago
Simplify 3a2 x 5b3 x 4a x 2c
sergey [27]
Here you go!! Hope this helps

6 0
3 years ago
There are 312 cards in 6 decks of playing cards . IF YOU HAVE TIME PLEASE HELP ON THE OTHERS QUESTIONS BELOW IN THE PICTURES ! (
shepuryov [24]
To figure out how many cards are in each deck, divide 312 by 6. That comes out to a quotient of 52. That means there are 52 cards in each deck.

#5, the way to figure out which is the better deal, is to multiply the 2 package by the 5 package (note, DO NOT multiply the prices, only how many games they hold) that comes out to 10. So, what you do know is multiply the 2 games price by 5.

$11.98 * 5 = $59.9

Do the same with the 5 package, except multiply it by 2.

$24.95 * 2 = $49.9

Now, with these 2 answers you can tell that the 5 game package is $10 cheaper than the 2 game package, even though you are getting the same amount of games.

Hope this helps a little!
4 0
3 years ago
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