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3 years ago

Solve for x. Show the equation you used and your work.

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

4 0

Solution:

From the given figure , Triangle TVW and triangle TSU are silmilar triangles.

From the property of similar triangle, ratio of corresponding sides of similar triangles are equal.

Which means ratio of corresponding sides of triangle TVW and TSU are equal

That is,

$=>\frac{ TS}{TV} =\frac{ TU}{TW}\\\\=>\frac{ TV+VS}{TV} =\frac{ TW+WU}{TW}\\\\=>\frac{ 14+6}{14} = \frac{ 21+x+4}{21}\\\\=>\frac{ 20}{14} = \frac{ 25+x}{21}\\=>25+x = \frac{ 20 *21}{14} = 30\\=> x= 30-25=5$

Hence, x = 5.

kirza4 [7]3 years ago

3 0

ST/VT = UT/WT6+14/14 = (x+4)+21/21X= 20*21/14 - 21x=420/14-25X=30-25x=5

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There are 3 red and 8 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probabilit

Kaylis [27]

So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a $\frac{3}{11}$ chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is $\frac{8}{11}$ , and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

$\frac{3}{11}\frac{3}{11}\frac{8}{11}=\frac{3*3*8}{11^3}=\frac{72}{1331}$

Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is $\frac{2}{11}$ , and the probability of picking the second red ball is $\frac{1}{10}$ and the probability of picking the green ball is $\frac{1}{9}$ . We want to multiply thm again, as per the multiplication rule like the last problem.

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3 years ago

Let f(x)=2^(x) and g(x)=2^(x+3)

ss7ja [257]

Answer:

Step-by-step explanation:

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2 years ago

Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets

Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x + y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

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3 years ago

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Ray Of Light [21]

Answer:

Step-by-step explanation:

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3 years ago

2x - y = 6<br>4<br>x-y<br>13<br>anch

yanalaym [24]

Answer:

x=-7, y= -20

Step-by-step explanation:

2x - y =6

x - y = 13

when I subract (x-y =13 ) from (2x-y =6)

2x -y =6

-x +y=-13

______________

x = -7

substitute x=-7 in the second equation

-7 - y =13

-y = 13 +7

-Y = 20

Y=-20

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8 0

3 years ago

Read 2 more answers