Uh, so, you're median is 81 already.
Since the middle two numbers are 82 and 80, you have to add them together and then divide by 2.
However, if you're trying to add a number in, adding 81 as it is would work as well.
Hope this helps!
<h3>
Answer: 161 degrees</h3>
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Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
- arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
- arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees
Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
These are the two rules for when a and b are positive numbers.
a + b = b + a
a - b ≠ b -a
a - b = -b + a
For example:
5.71 + 2.84 = 2.84 + 5.71
8.55 = 8.55
5.71 - 2.84 ≠ 2.84 - 5.71
2.87 ≠ -2.87
5.71 - 2.84 = -2.84 + 5.71
2.87 = 2.87
These are the rules for when a and b are negative numbers.
a + b = b + a
a - b = b + a
For example,
-6.2 + (-3.96) = -3.96 + (-6.2)
-6.2 - 3.96 = -3.96 - 6.2
-10.16 = -10.16
-6.2 - (3.96) = -3.96 + (-6.2)
-10.16 = -10.16
Also, if a is a positive number, while b is a negative number, we see these rules:
a + b = a - b
a - b = a + b
For example,
5.71 + (-6.2) = 5.71 - 6.2
-0.49 = -0.49
5.71 - (-6.2) = 5.71 + 6.2
11.91 = 11.91
Also, if a is a negative number while b is a positive number, then these rules will apply:
a + b = b - a
a - b = -b - a
For example,
-3.96 + 2.84 = 2.84 - 3.96
-1.12 = <span>-1.12
</span>
-3.96 - 2.84 = -2.84 - 3.96
-6.8 = -6.8
I hope this helps! :)
Step-by-step explanation:
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Answer:
$10
Step-by-step explanation:
Let a = the amount Angela has saved.
Let e = the amount Eli has saved.
"Eli has saved $8 more than 1/3 of Angela's savings."
e = a/3 + 8
"If they each save $10 more." then
Eli will have: e + 10
Angela will have a + 10
"Eli will have saved $4 more than Angela's savings."
e + 10 = a + 10 + 4
This equation simplifies to: e = a + 4
We have a system of two equations in two variables.
e = a/3 + 8
e = a + 4
Since both equations are solved for e, we just equate the right sides.
a/3 + 8 = a + 4
Subtract a/3 from both sides. Subtract 4 from both sides.
a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4
4 = (2/3)a
Multiply both sides by 3/2
(3/2)4 = (3/2)(2/3)a
6 = a
a = 6
Angela has $6.
e = a + 4 = 6 + 4 = 10
Eli has $10.