Answer: 45%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
900 = 20n
÷20 ÷20 ← <em>divide by 20 on both sides</em>
<em> 45 = n</em>
Therefore, 9/20 is equal to 45 over 100 or 45%.
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Answer: 0.45
Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.
Therefore, 9/20 is equivalent to 0.45.
The proof is given below.
Step-by-step explanation:
Given,
AB║DC and AB≅DC
To proof ΔABE ≅ Δ CDE
Proof:
AB║DC and AC is the transversal
∠BAE = ∠ECD ( alternate angle)
AB║DC and BD is the transversal
∠ABE = ∠EDC( alternate angle)
Now,
In ΔABE and Δ CDE
∠BAE = ∠ECD ( alternate angle)
∠ABE = ∠EDC( alternate angle)
∠AEB = ∠CED (vertically opposite angle)
So, by AAA condition we get,
ΔABE ≅ Δ CDE
1 third is in 2/9 because when simplified 2/9 becomes 1/3 being 1 third in 2/9
Answer:
Yes, point B will lie inside the circle.
Step-by-step explanation:
Let the distance between point C and point A be the radius of our given circle.
We have been given that a circle with center C(4, -2) passes through the point A(1, 3).
Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.
Let us find distance between points C and A using distance formula.
Radius of our circle is . Now let us find distance between center of our circle and point B.
We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.