Answer:
3.897 
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded
Your answer is x = 3 because if you take 150 and subtract it by both sides:
150 - 35x = 45
-150 -150
you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105.
-35x = -105
take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)
~Shadow
Answer:
x = 15
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side
13x - 15 = 180 ( add 15 to both sides )
13x = 195 ( divide both sides by 13 )
x = 15
Answer:
2⋅18−18 is less than 2⋅[28−3⋅(2+4)]
Step-by-step explanation: