The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
Answer:
y=(1/4)x + 9 OR y=x/4 +9
Step-by-step explanation:
Perpendicular lines have a slope/gradient of -1/n
Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.
y=(1/4)x+b
(0,9) is the y-intercept, so b = 9
y=(1/4)x + 9 OR y=x/4 +9
Answer:
4/10 is the same as 40/100
there fore 4/10+40/100=40/100+40/100=
80/100
hope it helps :)



Hey there, hope you are having a wonderful day! :)
Let's solve this inequality.
First of all, let's move all the numbers to the right, using the
:




Now, let's move the variables to the left:


Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.
Thus, there are no values of x that make the inequality true, and the inequality has

Hope you find it helpful.
Feel free to ask if you have any doubts.

Answer: x=25 work below :)