The inequalities that represents the third side of the triangle is x ≥ 4 or x ≤ 20
How to find the third side of a triangle?
The triangle inequality theorem states that that the sum of any two sides of a triangle is greater than or equal to the third side.
Therefore, the two sides of the triangle are 12 cm and 8 cm.
A triangle with sides a, b and x follows the principle below;
a + b ≥ x.
Therefore,
let
x = third sides
12 + 8 ≥ x
20 ≥ x
x + 8 ≥ 12
x ≥ 4
x + 12 ≥ 8
Therefore, the third third should be greater than or equals to 4 or less than or equals to 20
x ≥ 4 or x ≤ 20
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Complete question :
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3
Step-by-step explanation:
Given the following :
Width of number line = - 10 to + 10
Point K on the number line = +3 ( kelvin's score after the first round of quiz).
If Kelvin losses 9 points in round 2 = - 9
Hence at the end of round 2, He'll have a total of :
Point at the end of round 1 + point lost in round 2
3 + (-9) = - 6
Answer:
The closest measurement is 15.7
Step-by-step explanation:
The formula for circumference is 
The diameter is double the radius, so to get the radius we divide by 2.
5 divided by 2 is 2.5
Knowing "r" is 2.5 we can plug that into our equation and solve.
2 ·
· 2.5 ≈ 15.71
The closest measurement is 15.7
<span>5x + 2y = 20
put x=0.3
5(0.3) + 2y = 20
2y = 20-1.5
2y = 18.5
y = 9.25
</span>
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Kelly invested $1,500 in the stock market on January 1
She lost 1/3 of it by the end of January or that is:
(1/3)*1500 = $500
the remaining amount is 1500 - 500 = $1,000
she lost 2/5 of the remaining amount by the end of February:
(2/5)1000 = $400
what is left is: 1000 - 400 = $600.