Answer:
Well, in reality, all circles are similar to each other. They will all have the same angles, and they don't really have side lengths. So, they are similar.
But to PROVE they are similar, we will transform Circle C to match circle E.
Circle C has a center at (-3, 1), and Circle E has a center of (4, 9). For Circle C to have the same center as Circle E, we will translate Circle C 7 units to the right, and 8 units up.
Since Circle C has a radius of 4, and Circle E has a radius of 3, dilate Circle C by a factor of 3/4. That way, the radius is 3 units as well.
And there you go! The two circles will map perfectly on top of each other.
Hope this helps!
Answer:
$3.75
Step-by-step explanation:
Given:
Natalie buys a cooper wire that is 3 feet long.
The cost of the wire is $1.25 per foot.
Question asked:
What is the total cost, in dollars, of Natalie's wire?
Solution:
<u>By unitary method:</u>
Total length of wire = 3 feet
Each foot of wire cost = $1.25
3 feet of wire cost = $1.25 
3 = $3.75
Thus, total cost of wire is $3.75
Step-by-step explanation:
x = 20
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Answer:
8 + 2x = 30
Step-by-step explanation:
Given,
The initial number of push-ups he does in each day = 8,
And, the number of push-ups, he increases per day = 2,
Let x be the number of days after he will reach his target of 30 push-ups,
Since, the number of push-ups she will increase in x days = 2x,
Thus, the number of push-ups she will do after x days = 8 + 2x,
⇒ 8 + 2x = 30, which is the required equation.
