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bezimeni [28]
4 years ago
13

Which inequality represents the value of x that ensures triangle abc exists?

Mathematics
1 answer:
olasank [31]4 years ago
3 0

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

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Maverick wants to rent some office space for 5 years. The lease states that the
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Answer:

$106,426.01

Step-by-step explanation:

Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years.  Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:

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4 0
3 years ago
WILL GIVE BRAINLIEST help me with this question pls:)
amm1812

Answer:

45.5

Step-by-step explanation:

4x-2=180

4x=182

x=45.5

8 0
3 years ago
Read 2 more answers
Ok here is a better pic I need help with it​
BartSMP [9]

Answer:

Step-by-step explanation:

First,You have to realize that if you multiply the amount of food by something, you multiply the amount of calories.  if some piece of food is 100 calories what happens if you eat 2?  you get 2 times that number of calories.  Same fi you eat half of one of that kind of food.  You get half the amount of calories.

Here he makes 1 1/2 (one and a half) times the amount.  Now, if this is confusing  you just need to realize that  multiplying by this is the same as multiplying by 1+1/2.  Say, again, a piece of food is 100 calories.  Multiplying it by this would look like the following.

100(1+1/2)

100*1 + 100*1/2

100+50

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So if you ever have a mixed number like this  you could split it up into an addition problem and then distribute hat you're multiplying.  Another solution is to multiply by the improper fraction, which here is 3/2, so 100*3/2=150 as well.  Let me know if you don't get how to get the improper fraction or how to multiply fractions.

Now, super simple, just multiply the calories by that number.

310(1+1/2) = 310(3/2)

310 + 155 = 930/2

465 = 465

Kinda showed how to multiply by fractions, still if you don't get it let me know.  

6 0
4 years ago
courtney earned an 86, 92, 95, and 89 on her first four math tests. there is one more test to take what will she need to earn on
Gennadij [26K]
86+92+95+89=362
362/4=90.5 


through the process of elimination, I found that Courtney will need to get an 88 or higher to get at least a 90 in the course. 
5 0
3 years ago
Describe all of the symmetries for the following figure.
Free_Kalibri [48]

Answer:

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