Answer: SAS Similarity theorem.
Explanation.
SAS stands for Side - Angle - Side.
SAS theorem states that if two triangles have
corresponding angles that are congruent and corresponding sides
with identical ratios, then the triangles are similar.
And that is what the figure shows:
1) The angle at M is the same for both triangles.
2) The ratios of the sides are: 2/3 and 4 /6. Given that 2/3 = 4/6 you have that the two corresponding sides have identical ratios.
You want to leave a 15% tip on a meal that cost $15.77.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $15.77 meal cost is.This is always done by multiplying 0.15 by $15.77, or
0.15 x $15.77=$2.37.
So, the amount of tip you are going to leave is $2.37.
This makes the total cost of your meal (to write on your charge slip or other payment)
$15.77 + $2.37 = $18.14
$18.14 is your answer
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Answer:
2, or any negative number
Step-by-step explanation:
Answer:
12.5 ft
Step-by-step explanation:
30 : x = 24 :10
30*10 = 24x
x= 300/24 =12.5
