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Cloud [144]
3 years ago
5

Drew is holding a fund-raiser. He is taking donations from his family members to supports a charity. Each family member donates

the same amount. The total amounts donated after 1,2,3 and 4 family members give money are $20, $30, $40, and $50, respectively
Please explain
Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

They each give $10 because the pattern is changing by 10.

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Which of the following transformations fit the definition of isometry?
Gennadij [26K]

Answer: Rotations, reflections, translations (A, C, and E)

Imagine you had a camera aimed at a triangular figure on a piece of paper. If you rotate the camera, then the image of the triangle appears to rotate. In reality it's the other way around. What this means is that the triangle is not changing at all. It keeps the same size, shape, area, perimeter, etc. This applies to when the camera pans left or right, ie shifts from side to side. The triangle will translate but again the triangle isn't changing at all. It's merely an illusion. Reflections are the same way. Imagine having a piece of glass or a mirror that reflects the image which is an identical copy; although everything is flipped.

Dilations are not isometries because the image is a different size then the pre-image. The same shape is maintained though. Note: the scale factor must be some number other than 1.

another note: "isometry" breaks down into "iso+metry" with "iso" meaning "same" or "equal", and "metry" meaning "measure". So if you had 2 identical yard sticks, then they are isometrical or equal in length.

4 0
3 years ago
Please help I need work shown!!
likoan [24]

3x-11=2x+11

x=22

3x-11=55

2x+11=55

55+55+2y=180

2y=70

y=35

x=22 , y=35

7 0
2 years ago
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If x is a rational number and y is the opposite of x, why do x and y have the same absolute value
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Answer:

Absolute value is the distance away from zero, so if x is a rational number and y is opposite, they would both be the same distance away from zero, regardless of their sign.  

Step-by-step explanation:

Absolute value is the distance of a number away from zero.  For example, if x is equal to the rational number -2, the absolute value of -2 is just 2, given that both 2 and -2 are only a distance of 2 away from the number zero.  Think of it as your walk or drive to school.  If you live 4 miles from school, you drive a distance of 4 miles there and 4 miles back.  That distance is not calculated as a positive 4 miles there and a negative 4 miles back, but rather just 4 miles there and 4 miles back, for a total distance of 8 miles.  So, if x=4 and y=(-4), the absolute value of both would be 4.  

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We can then simply take that ratio, and scale the sugar by the same amount:

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