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kozerog [31]
3 years ago
5

(99 POINTS) Using similarity solve for x. Show all work

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0

Answer:

15

Step-by-step explanation:

x/9 and 25/x

Cross Multiply:

25 x 9 = 225

Square root of 225 is 15

Anna11 [10]3 years ago
7 0
Hey there! :D

The biggest thing to remember here is the similar triangles and their side lengths. 

Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to. 

We want to find two triangles that have "x" has a value of their side, so we can solve a proportion. 

The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.

On the smaller triangle:

We have 9 cm on the shorter side and x as the hypotenuse. 

On the larger triangle: 

We have x as the shorter side, and then 25 as the hypotenuse. (9+16)

Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it. 

So, now we can make a proportion. 

\frac{x}{9} =  \frac{25}{x}

Now, cross multiply. 

9*25= 225

x*x= x^{2}

So, find the square root. 

√225= 15

x= 15. 

I hope this helps!
~kaikers
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Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

Step-by-step explanation:

(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

\frac{y}{x} = unit rate → \frac{4}{5} = 0.80; \frac{12}{15} = 0.80; \frac{16}{20} = 0.80

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25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

Hope this helps

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In the game of​ roulette, a player can place a ​$9 bet on the number 11, and have a 1/38 probability of winning. If the metal ba
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Answer:

1. What is the expected value of the game to the​ player?

Expected value= -$0.47368

2. If you played the game 1000​ times, how much would you expect to​ lose?

Expected value= -$473.68

Step-by-step explanation:

1. What is the expected value of the game to the​ player?

Expected value can tell how much you will gain/lose every time you do the game. To find the expected value you need to multiply every value with its chance to occur. There are two types of events here, winning and losing. You have 1/38 chance of winning $315 and 37/38 chance of losing $9.  

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2. If you played the game 1000​ times, how much would you expect to​ lose?

Expected value calculated for each roll. If you want to know how much you gain/lose by multiple rolls, you just need to multiply the expected value with the number of rolls. The game has negative expected value so you are expected to lose money instead of gaining money. The money you expected to lose will be:

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