Let's call the two numbers 
and 
.
Given these variables, we can say: 
, based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute 
in for in the second equation and solve.
- Get terms on the left side to a common denominator for easier addition
- Cross multiplication (
)
- Subtract
from both sides of the equation
- Factor left side of the equation
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case, 
is not a solution.
Thus, 
is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.
Answer:
<u>X=46</u>
<u>Y=130</u>
<u>reflective angles</u>
Step-by-step explanation:
Answer:
I don't know were the statement are but here are the specs of each set
Step-by-step explanation:
Set A
mean; 83.83333
median; 87.5
mode; it has no mode
range; 147
Set B
mean; 67.08571
median; 3
mode; no mode
range; 376
hope this helps sorry for late answer :)
You start with a 1/4 chance of picking a diamond.
you remove it from the deck you now have a 12/51 chance of picking a diamond
1/17 is your answer!
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The area of a trapezoid has a formula of:
Area = (a + b) h / 2
Using the formula, we can easily find the height of the trapezoid.
<span>Area = (a + b) h / 2
</span>2250 = (80 + 100) h / 2
2250 = 180h / 2
2250 = 90h
h = 25 centimeters
So the height of the trapezoid is 25 centimeters.
