Answer:
x = 50
Step-by-step explanation:
x/5 = 10
Multiply both sides of the equation by 5.
5(x/5) = 5(10)
x = 5(10)
x = 50
The value of x is 50.
Perimeter = Sum of the sides measures
Perimeter = | AB | + | AT | + | BT |
Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )
40 = x + 4x + 2x + 3 + 2
Colect like terms
40 = ( 1 + 4 + 2 )x + ( 3 + 2 )
40 = 7x + 5
Subtract both sides - 5
40 - 5 = 7x + 5 - 5
35 = 7x
Switch sides
7x = 35
Divide both sides by 7
7x ÷ 7 = 35 ÷ 7
x = 5
_____________________________
AB = x + 3 = 5 + 3 ======》 AB = 8
AT = 4x = 4 × 5 =========》 AT = 20
BT = 2x + 2 = 2(5) + 2 ===》 BT = 12
According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :
AB + AT > BT
&
AB + BT > AT
&
AT + BT > AB
If the sides is true in the above inequalities, then those sides are able to form a triangle ;
But if even one of the above inequalities is violated, those sides will not be able to form a triangle.
8 + 20 > 12 ( Check )
8 + 12 > 20 ( Nope this inequlity violated )
Thus the measures of the sides can not represent the measures of the sides of a triangle .
And we're done ...
Answer:
Step-by-step explanation:
A ratio is a comparison of two numbers. A ratio can be written using a colon, 8:12 , or as a fraction 8/12 . A rate is a comparison of two quantities which can have different units. For example 8 miles per 4 hours is a rate.
Perhaps it is 60, 600? I'm not 100%
1) x = 5
2x + 5 = 30 - 3x
(+ 3x)
5x + 5 = 30
(- 5)
5x = 25
( / 5)
x = 5
2) x = -2
(-4 * 11x) + (-4 * 2) = 80
-44x - 8 = 80
(+ 8)
-44x = 88
( / -44)
x = -2
3) x = 49
3x + 33 = 180
(- 33)
3x = 147
( / 3)
x = 49
I hope this helps! The / symbol means divide by the way :)