According to the triangle inequality theorem, the third side of a triangle, given the other two sides, must be greater than the absolute difference and less than the sum of those sides. In this case, given sides 5 and 9, the possible third sides are 5 and 8.
In Mathematics, particularly in the field of geometry, the triangle inequality theorem states that the length of one side of a triangle is always less than the sum of the lengths of the other two sides but more than the absolute difference of those lengths.
Given the lengths of two sides of the triangle are 5 and 9 respectively, the possible lengths of the third side are anything greater than 4 (9 - 5) and less than 14 (9 + 5). So among the choices given: [A] 3, [B] 5, [G] 8, [D] 15; only [B] 5 and [G] 8 could be the length of the third side of the triangle.
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In the triangle with sides 5 and 9, according to the triangle inequality theorem, the length of the third side must be between 4 and 14. Therefore, from the given options, only 5 and 8 could be the lengths of the third side.
To find possible lengths for the third side of a triangle when lengths of two other sides are given, we can adhere to the triangle inequality theorem. This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
In this case, the given lengths are 5 and 9. So the possible length of the third side (let's denote it as x) should obey to: |5 - 9| < x < 5 + 9, that is 4 < x < 14.
Therefore, from the given options, [B] 5 and [G] 8 could be possible lengths for the third side of the triangle.
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Answer:
x= 17 radical 3
y= 34
Step-by-step explanation:
30-60-90 triangle rule
then divided 108/7
I got 15 with 3 left over. Is this right?
Answer:
yes, your math is correct
15 large orders of fries can be made
Step-by-step explanation:
There are two questions here: one in the question you're trying to answer, and one that you have asked about your math. Hence, there are two answers here.
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9 dozen divided by 7 is ...
9·12/7 = 15 3/7
Julio's dad will be able to make 15 large orders of fries.
_____
Your math is correct, but you need to be sure you answer the question asked, preferably in at least one complete sentence. Pay attention to the question wording.
Answer:
2 barbies are left over
Step-by-step explanation:
5(5)=25
27-25=2
Leaving 2 barbies.
opened.
B. The amount of money in a bank account never changes
C. The amount of water in a cup decreases as it evaporates
D. A flower slowly grows taller
Answer:B the amount of money in a bank account never changes.
Step-by-step explanation:
Answer:
B. The amount of money in a bank account never changes.
Step-by-step explanation:
Equilibrium is achieved when the state of a reversible reaction of opposing forces cancel each other out. While in a state of equilibrium, the competing influences are balanced out. Imagine a cup with a hole in it being filled with water from a tap. The level of water in this cup would stay the same if the rate at which the water that flows inside is the same as the water that flows outside. Option B will be the correct answer because the amount of money going into the account is at the same rate of money coming out of the account.
Answer:
y = mx+b is where you use the X-axis point and Y-AXIS point and plug it into the equation and find the y-axis using the x-axis times the slope and then you find b which is the remaining y-axis height, and you get your answer
Step-by-step explanation:
y 2 -y 1 can be any order as long as the x2 is with the y2 and same for x1.