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!

7 0

3 years ago

Find the 89th term of the arithmetic sequence 25, 35, 45, ...

Eddi Din [679]

Answer:

905

Step-by-step explanation:

arithmetic sequence are in form

a(n)=a(0)+d(n-1)

a(0)=25

common difference: d=35-25=10

a(n)=25+10(n-1)

a(89)=25+10(88)=905

8 0

2 years ago

The units of the subway map below are in miles. Suppose the routes between

levacccp [35]

Distance between Station E and Station G is 8.48 miles (Approx.)

Given:

Distance 3 miles east

Distance 5 miles south

Find:

Distance between Station E and Station G

Computation:

Co-ordinate of Point E = (-3 , 1)

Co-ordinate of Point G is 3 mile east and 5 mile south

So,

Co-ordinate of Point G = (3 , -5)

Distance between two point = √(x2 - x1)² + (y2 - y1)²

So,

Distance between Station E and Station G = √(3 + 3)² + (-5 - 1)²

Distance between Station E and Station G = √(6)² + (-6)²

Distance between Station E and Station G = √36 + 36

Distance between Station E and Station G = √72

Distance between Station E and Station G = 8.48 miles (Approx.)

Learn more:

brainly.com/question/12052812?referrer=searchResults

4 0

2 years ago