Your anwer is C)<span>f(x) = 467(5 to the one fourth power)4x</span>
Part A is basically asking you for the GCF (greatest common factor) between 63 and 36. To find this you find all the numbers that can be multiplied to form each number.
36:
1 * 36
2*18
3*12
4*9
6*6
63:
1*63
3*21
9*7
The GCF is 9.
Part B is asking how much the GCF can go into each type of flower.
4 rows of geraniums
7 rows of marigolds
Given:
A figure.
To find:
The value of x.
Solution:
Draw two parallel lines as shown in the below figure.
If a transversal line intersect two parallel lines, then alternate interior angles are same.
(Alternate interior angle)
(Alternate interior angle) ...(i)
The value of angle d is
Using (i), we get
If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.
Now,
Therefore, the value of x is 70.
To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.
<h3>How to prove that two circles are similar</h3>
Herein we must prove that two circles are similar by taking advantage of two key characteristics: (i) Center, (ii) Radius. Based on such facts, we must apply the following <em>rigid</em> transformation:
- Translating the circle from A to B.
- Enlarging the circle A by a <em>dilation</em> factor.
Step 1 - Traslating the circle from A to B: Translation vector - (- 1, 1).
(x, y) = (2, 3) + (- 1, 1)
(x, y) = (1, 4)
Step 2 - Dilate the circle by a factor of 2.
r = 2 · 5
r = 10
To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.
To learn more on transformation rules: brainly.com/question/9201867
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