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Nookie1986 [14]
3 years ago
11

Plssss help what is x

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

If you do not want to read the explanation go the the next part in bold

Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.  

This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.

Below here is where the work is shown

a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²  

5² = 25

3² = 9

we would then have 25 = 9 + b²

Next we subtract 9 from each side

25 - 9 = 16

9 - 9 cancels out

Now we have 16 = b²

finally we want to get rid of the ²

To do so we take the square root of each side

\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4

we're left with b = 4 which means that x = 4

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Answer:

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7 0
3 years ago
Donna takes classes at both Westside community college and pinewood community college. at westside , class fees are $98 per cred
Alex777 [14]

Answer:

Expression for the combined total dollar amount she paid for her class fees is  (2185 - 17 w)

Step-by-step explanation:

Let Donna  is taking w credit hours at Westside.

Total combined credit hours at two schools =  19 hours

So, the number of credit hours at Pinewood  =  19 - w

The per hour fees credit of Westside community college = $98

So, the total fees paid for w hours  = w x Fees per hour

= w ( $98)  = $(98w)

⇒The fees Donna pays at Westside community college =  $ (98 w)

The per hour fees credit of Pinewood community college = $115

So, the total fees paid for (19 -w) hours  = (19 -w) x Fees per hour

= (19 -w) ( $115)  = $(2185 - 115 w)

⇒The fees Donna pays at Pinewood community college =$(2185 - 115 w)

Hence, the total fees paid by Donna

= Fees at Westside + Fees at Pinewood

= $ (98 w)  + $(2185 - 115 w)

= $(2185 - 17 w)

Hence, expression for the combined total dollar amount she paid for her class fees is $(2185 - 17 w)

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because of the opposite signs

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