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Strike441 [17]
3 years ago
7

Find the value of x and the value of y.

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

C.

Step-by-step explanation:

x is bisecting the baseline (cutting it in 2 halves of 6).

the third angle in the main overall triangle is 60 degrees.

remember, all angles in a triangle always add up to 180 degrees.

so, 180 - 60 - 60 = 60.

that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.

=> y = 12

and now using Pythagoras to calculate the height (x) of the triangle :

y² = x² + 6² (remember, this side is only half the baseline)

12² = x² + 6²

144 = x² + 36

x² = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

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Can someone please help?
Kaylis [27]

Hey there!

The answer is C.

First of all, let's assign variables. We can use t for tricycles and b for bicycles.

Next let's look at the first statement:

"There are at most 12 bicycles and tricycles in a school playground."

"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.

We can write this as b + t ≤ 12.

Now we can look at the second statement:

"There are at least 17 wheels altogether."

"At least" means the number 17 will be included in the inequality.

Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.

That can be written as 2b + 3t ≥ 17.

Our final system of inequalities:

b + t ≤ 12

2b + 3t ≥ 17

This matches option C.

Hope this helps!

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3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
Please Solve<br> 9.2/-0.4=
Elena-2011 [213]

Answer:

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2 years ago
Read 2 more answers
When kettle is full of water it has a mass of 2900 grams.
Ratling [72]
Ok what do we know.

when the kettle is full its 2900g
when its half full is 2050g

that means that half the weight of water in the kettle was 850g so the other remaining half has to be 850g

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1700g is the weight of the water
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2900-1700= 1200g
this means the kettle when empty weighs 1200g 

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3 years ago
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kari74 [83]

Answer: 8 hours

Step-by-step explanation:

You know that Mr. Wilson uses the following equation to find the cost:

Then, if Mr. Wilson spent $30, you can follow these steps in order to calculate how many hours he parked in the parking garage:

1. You need to substitute  into the given equation:

2. Now, you must solve for "H":

Therefore, based on the result, you can conclude that Mr. Wilson parked his car in the parking garage for 8 hours.

4 0
3 years ago
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