Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides
<em><u>Solution:</u></em>
We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
This rule must be satisfied for all 3 conditions of the sides.
Consider a triangle ABC,
Let, AB, BC, AC be the length of sides of triangle, then we can say,
Acoording to Triangle Inequality Theorem,
sum of any 2 sides > third side
BC + AB > AC
AC + BC > AB
AB + AC > BC
For example,
When two sides, AB = 7 cm and BC = 6 cm is given
we have to find the third side AC = ?
Then by theorem,
Let AC be the third side
AB + BC > AC
7 + 6 > AC
Thus the inequality is found when only two sides are given
Answer:
12 1/2 dollars
Step-by-step explanation:
add 10 9/10 and 6 3/5
you have least common multiple of the demoninators which is 10
so 6 3/5 is equal to 6 6/10
the you can add which gets you 16 15/10
simplified is 17 5/10 then you can change it to 17 1/2
then you subtract that from 30
30-17 1/2 = 12 1/2 dollars
Answer:
(2x+18) degrees
Step-by-step explanation:
A triangle is a total of 180 degrees, so you would do:
(2x+18)+55+(4x+11)=180
(2x+4x)+(18+55+11)=180 <- take out parentheses and add like terms
6x+84=180 <- subtract 84 from both sides of the equation
6x=96 <- divide 6 from each side
x=16
Now that you know what x is you would plug it into each of the angles
Angle 1: 2x+18 --> 2(16)+18= 32+18= 50
Angle 2: 55
Angle 3: 4x+11 --> 4(16)+18= 64+18= 82
Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.
9^(6x)=3^(2x+4) I assume this is what you meant...
since 9=3^2
3^2^(6x)=3^(2x+4)
and since (a^b)^c=a^(bc)
3^(12x)=3^(2x+4)
so if a^b=a^c then b=c so
12x=2x+4
10x=4
x=0.4