Alright, so in order to find this, you will nee to use the Triangle Inequality Theorem.
We’ll make the values = to variables to make it easier. a=1 b=1 c=2
All of the inequities need to be true.
a+b>c
b+c>a
c+a>b
Now replace the variables.
1+1>2 2>2 (False)
1+2>1 3>1 (True)
1+2>1 3>1 (True)
Since one is false, 1,1, and 2 cannot make a triangle.
Answer:
Step-by-step explanation:
1) Two angles supplementary. So sum of two angles is 180
One angle = x
Other angle = 2x
x + 2x = 180
3x = 180
x = 180/3 = 60
The angles are 60, 120
2)Two angles complementary. So sum of two angles is 90
one angle = x
Other angle = x + 20
x +x +20 = 90
2x + 20 = 90
2x = 90- 20
2x = 70
x = 70/2 = 35
The angles are 35,55
3) one angle =x
Other angle = 3x - 20
x + 3x - 20 = 120
4x = 120 + 20
4x = 140
x = 140/4 = 35
The angles are 35,85
5) x + 4x -20 = 180
5x = 180 + 20
5x = 200
x = 200/5 = 40
x = 40
6) This sum is not clear only half is visible
3 5/8 x 2 1/2 x 4 = 36 1/4
Answer:
2/5<7/12 is true
Step-by-step explanation:
2/5 multiply the numerator and denominator by 12 you get 24/60
7/12 multiply the numerator and denominator by 5 you get 35/60
24/60 IS less than 35/60
Answer:
Add 3x to both sides
Step-by-step explanation:
after you add 3x you get 11=3x+44
next you subtract 44 from each side
you then get -33=3x then you divide by 3 on both sides and your final answer is x= -11
