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astra-53 [7]
3 years ago
11

4. What are the values of x and y? HELP PLEASE

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.

TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.

17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17

For some reason, this does not give a correct value for Y, so I had to use trig 

TO FIND Y 

Notice that the angle DAB is the same as DBC (lets call this angle Ø)

Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.

We can now form some equations:

cosØ = 15/17 (from the top triangle)
cosØ = 8/Y      (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15

X=64/15  Y=136/15
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. Solve for the missing value (x).
just olya [345]

The missing value of x will be 9.6 mL.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The equation is given below.

12.5 mg : 5 mL = 24 mg : x mL

Then the value of x will be

12.5 / 5 = 24 / x

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More about the ratio and the proportion link is given below.

brainly.com/question/14335762

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4 0
2 years ago
Please help. Marika is training for a race.
Anika [276]

Let's call n the number of days Marika's been training for the race, and a_n the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so


a_1=100


On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:


a_2=100 + 4\\a_3=100 + 4 + 4\\a_4=100+4+4+4


It would be easier to write this continued addition as multiplication, in which case those same equations would look like


a_2 = 100 + 4(1)\\a_3 = 100 + 4(2)\\a_4=100+4(3)


Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that a_1=100+4(0). In general, we can say that


a_n=100+4(n-1)


Which is expressed by option B.


(Bonus: What piece of information from this question did we not need to use here?)

3 0
4 years ago
7] A recent poll discovered that only 24.5% of Americans are getting the recommended amount of exercise per week. Briscoe Middle
Evgesh-ka [11]

Answer:

your TRASH NOOB LOSER

Step-by-step explanation:

so todya eat hesde

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7 0
3 years ago
An amount of money b divided by 20 is $7. What is the amount?
olga2289 [7]
The amount of money, b, is $140.

4 0
3 years ago
Read 2 more answers
Please solve for x:<br><br> :)
anygoal [31]
Hello!

As you can see, the angles we are given make up a 90 degree angle. We have the equation below.

4x=90

To solve we just divide both sides by 4.

90/4=22.5
x=22.5

I hope this helps!
7 0
3 years ago
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