Mickey's bowling score is 167 and Minnie's bowling score is 61
Step-by-step explanation:
The given is:
1. Mickey's bowling score is 16 less than 3 times Minnie's score
2. The sum of their scores is 228
We need to find the score of each one
Assume that the score of Minnie is x
∵ Minnie's score = x
∵ Mickey's score is 16 less than 3 times Minnie's score
- That means subtract 16 from 3 times Minnie's score
∴ Mickey's score = 3 x - 16
∵ The sum of their scores is 228
- Add their scores and equate the sum by 228
∴ x + 3 x - 16 = 228
- Add like terms in the left hand side
∴ 4 x - 16 = 228
- Add 16 for both sides
∴ 4 x = 244
- Divide both sides by 4
∴ x = 61
Substitute the value of x to find their scores
∵ Minnie's score is x
∴ Minnie's score = 61
∵ Mickey's score is 3 x - 16
∴ Mickey's score = 3(61) - 16 = 167
Mickey's bowling score is 167 and Minnie's bowling score is 61
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Answer:
9514 1404 393
Step-by-step explanation:
k = 2
The point (0, 0) on the graph of f(x) tells you f (0) = 0.
The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.
Now we know that
g(-2) = 0 = f(0) = f(-2+k)
or ...
0 = -2+k
2 = k
The value of k is 2
so the answer to you problem is k=2
Luke asserts that since the shape is constant, two circles are always isometric. he is wrong. No, an isometry keeps the size and shape intact.
Given that,
Luke asserts that since the shape is constant, two circles are always isometric.
We have to say is he accurate.
The answer is
No, an isometry keeps the size and shape intact.
Because a shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry). The isometric transformations include translation, rotation, and combinations thereof, such as the glide, which combines a translation with a reflection.
Therefore, Luke asserts that since the shape is constant, two circles are always isometric. he is wrong. No, an isometry keeps the size and shape intact.
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