Answer:
X * 0.8 = $64
x = $80
Step-by-step explanation:
<u>Answer:</u>
The measure of the supplement of an angle is 20° More than three times the measure of the original angle. The angles are 40 degrees and 140 degrees.
<u>Solution:</u>
Given, The measure of the supplement of an angle is 20° More than three times the measure of the original angle.
We have to Find the measures of the angles.
Let the original angle be n degrees.
We know that, sum of supplementary angles is 180, then, supplementary angle of n will be 180 – n.
Now according to the given information, 180 – n = 20 + 3 x n
180 – n = 20 + 3n
3n + n = 180 – 20
4n = 160
n = 40
Then, supplementary angle is 180 – 40 = 140 degrees.
Hence, the measures of two supplementary angles are 40 degrees and 140 degrees.
Answer: Andy should invest RS. 2784.19 for 12 years .
Step-by-step explanation:
Since we have given that
Amount = Rs. 5000
Time = 12 years
Rate of interest = 5%
So, We need to find the sum:
Using "Compound interest" , we get :

Hence, Andy should invest RS. 2784.19 for 12 years .
Answer:
c
Step-by-step explanation:
Answer:
B' (16, 14)
Step-by-step explanation:
<em>Whenever we have a dilation with a scale factor b, we get the new point as:</em>
<em>Let original point be (x,y), then the dilation would make it (bx, by).</em>
<em />
There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:

<u>Midpoint of AC:</u>

Now let vertex B have coordinates (x,y). <u>Midpoint of BD:</u>

<em>Equate this to the midpoint of AC:</em>
<em>(x+2)/2=5</em>
<em>x+2 = 10</em>
<em>x = 8</em>
<em />
<em>and</em>
(y+1)/2=4
y+1=8
y = 7
Thus, B(8,7)
<em>recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)</em>