What is the measure of angle A?
2 answers:
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Answer:
The length of segment AC is two times the length of segment A'C'
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z ----> the scale factor
A'C' ----> the length of segment A'C'
AC ----> the length of segment AC
so
we have that
---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero
substitute
therefore
The length of segment AC is two times the length of segment A'C'
Answer:
The percentage is <u>55%</u> when weight limit is 33 pounds.
The percentage is <u>190%</u> when weight limit is 114 pounds.
The 95% of the limit weighs <u>57</u> pounds.
Step-by-step explanation:
Given:
Weight limit of rocking horse = 60 pounds.
We need to find:
a) What percentage of the weight limit is 33 pounds.
b)What percentage of the weight limit is 114 pounds.
c) What weight is 95% of the limit.
Now Solving for a we get;
Weight limit = 33 pounds
Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;
framing in equation form we get;
percentage of the weight limit =
Hence The percentage is <u>55%</u> when weight limit is 33 pounds.
Now Solving for b we get;
Weight limit = 114 pounds
Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;
framing in equation form we get;
percentage of the weight limit =
Hence The percentage is <u>190%</u> when weight limit is 114 pounds.
Now Solving for c we get;
Percentage Weight = 95%
Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;
framing in equation form we get;
percentage of the weight limit =
Hence The 95% of the limit weighs <u>57</u> pounds.
So, you can do this one of two ways.
The first is knowing what the numbers in your equation represent:
For example: y=mx+b in this case "b" is 9. b is the y-value when x=0. So the first point on our graph is (0,9). Next we have to pick an xvalue to solve for another y-coordinate.
I chose x= -3. Plug x into the equation to get y.
y=3x+9
y=3(-3)+9
y=(-9)+9
y=0
So, our second point is (-3,0).
connect the points with a ruler to graph the line.
The first is knowing what the numbers in your equation represent:
For example: y=mx+b in this case "b" is 9. b is the y-value when x=0. So the first point on our graph is (0,9). Next we have to pick an xvalue to solve for another y-coordinate.
I chose x= -3. Plug x into the equation to get y.
y=3x+9
y=3(-3)+9
y=(-9)+9
y=0
So, our second point is (-3,0).
connect the points with a ruler to graph the line.