Answer:
Scale factor = ½
Step-by-step explanation:
The original image is the preimage = ∆ACB
The new image is the image = ∆DFE
The scale of factor of dilation = image/preimage = DF/AC
DF = 6 cm (given)
AC = 12 cm (given)
Plug in the values into the equation to find the scale factor of dilation:
Scale factor = 6/12
Scale factor = ½
The mean is the average value of the numbers given in the series
The mode is the number that is appears more than any other number given in the series
Step-by-step explanation:
Given challenge is make a list of 5 numbers
The list of 5 number is = 8,10,12,15,15
so required mean is 12 has been computed
Mode = 15 ( the number 12 is appeared in two times 8,10,12,15,15)
Final answer
The required numbers are = 8,10,12,15,15
We can use a modified form of the Pythagorean Theorem to find the length of x, also known as side b.
Pythagorean Theorem:
a^2 + b^2 = c^2
We can fill in the values of a^2 and c^2, and then solve for b.
14^2 + b^2 = 25^2
196 + b^2 = 625
Subtract 196 from both sides.
b^2 = 429
√ both sides.
b = 20.7
<h3>The value of x, or b, is equal to 20.7.</h3>
Answer:
A) y = x - 3/4
Step-by-step explanation:
The equation of the line with slope m and intercept b is
y = mx + b
Here were have slope = m = 1.
y-intercept = b = -3/4
Equation:
y = mx + b
y = 1x + (-3/4)
y = x - 3/4
Answer: A) y = x - 3/4
Answer:
$32,000
Step-by-step explanation:
Yearly investment = $3,000
Number of years = 20
Investments earned an average of 8 percent a year.
Total invested amount = $3,000 × 20 = $60,000
Current value of investment = $92,000.
We need to find the total earnings on the investment.
Earnings = Current value of investment - Total invested amount
Earnings = $92,000 - $60,000
Earnings = $32,000
Therefore, the total earnings is $32,000.
