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Sloan [31]
3 years ago
6

Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72

mm C. 81 mm, 7 mm, 88 mm D. 81 mm, 7 mm, 77 mm
Mathematics
1 answer:
Lisa [10]3 years ago
3 0
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm 
6+7 is not > 81

case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81

case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88

case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok

the answer is the option
</span>D. 81 mm, 7 mm, 77 mm
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Can someone explain how to do these. Also on number 2, how do u find the ratio ?
KIM [24]

9514 1404 393

Answer:

  2. D

  3. B

  4. D

  5. A

Step-by-step explanation:

2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*

  soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3

__

3. The <em>angle bisector</em> has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.

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4. The <em>median</em> is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.

__

5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.

_____

* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.

Here, that looks like ...

  84 / 36 = 2 r 12

  36 / 12 = 3 r 0 . . . . . 12 is the GCF

4 0
3 years ago
What does the value of y have to be so that
zzz [600]

7

Step-by-step explanation: 7-6 = 1

-5-(-3)=-8

4 0
3 years ago
72 g equals how Many mg?
leva [86]
1 gram = 1000 milligrams

72 * 1000 = 72000

So 72 grams is equal to 72,000 milligrams.
6 0
3 years ago
Read 2 more answers
Use the two patterns below:
lisabon 2012 [21]
<u>(2,6),(4,12),(6,18),(8,24)</u>
6 0
3 years ago
How to solve for x in the equation 3x=28-y?
Veronika [31]

Answer:

x=(28-y)/3

Step-by-step explanation:

Just divide both sides by 3.

6 0
3 years ago
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