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bekas [8.4K]
3 years ago
7

Point CC is located at (4,3)(4,3) on the coordinate plane. Point CC is reflected over the xx-axis to create point C'C ′ . Point

C'C ′ is then reflected over the yy-axis to create point C''C ′′ . What ordered pair describes the location of C''?C ′′ ?
Mathematics
1 answer:
brilliants [131]3 years ago
5 0

Answer:

C" = (-4,-3)

Step-by-step explanation:

Given

C = (4,3)

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

C(x,y) \to C'(x,-y)

So, we have:

C(4,3) \to C'(4,-3)

Next, C' is reflected over y-axis to give C''

The rule to this is:

C'(x,y) \to C"(-x,y)

So, we have:

C'(4,-3) \to C"(-4,-3)

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The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.
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Answer:

89

91

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n  + n+2 =180

2n     +2 =180

Subtract 2 on both sides:

2n          =178

Divide both sides by 2:

 n           =178/2

Simplify right hand side:

 n           =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers?  Yep.  

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

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3 years ago
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Answer:

Step-by-step explanation:

2

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