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adoni [48]
4 years ago
7

Which statement explains the relationship between corresponding

Mathematics
1 answer:
Galina-37 [17]4 years ago
7 0

Answer:

Each term in pattern Y is 3 times the corresponding term in pattern X.

Step-by-step explanation:

Given the information:

X - 0, 5, 10, 15, 20

Y - 0, 15, 30, 45, 60

We can use deduce from physical observation of the data that each term in pattern Y is 3 times the corresponding term in pattern X.

However, to establish our relationship, we can plot the linear relationship and generate the equation of the line.

Thus gives us :

Y = 3X + 0

Which means for every pattern in Y, it is 3 times the corresponding pattern in X

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9.01 prove that the two circles are similar
il63 [147K]

Answer:

see the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.  

In this problem to prove circle C and circle A are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle C is centered at (0,-1) and has a radius of 2 units

Circle A is centered at (3,4) and has a radius of 5 units

step 1

Move the center of the circle C onto the center of the circle A

the transformation has the following rule

(x,y)--------> (x+3,y+5)

so

(0,-1)------> (0+3,-1+5)-----> (3,4)

center circle C is now equal to center circle A  

The circles are now concentric (they have the same center)

step 2

A dilation is needed to increase the size of circle C to coincide with circle A

scale factor=radius circle A/radius circle C-----> 5/2=2.5

radius circle C will be=2*scale factor-----> 2*2.5=5 units

radius circle C is now equal to radius circle A  

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

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