Step 3, you cannot add exponents of differing bases
B) multiply by (-3); -81, 243, -729
Answer:
X=14
Explanation:
The question tells us that the triangle is an equilateral triangle, meaning all of its side lengths are equal.
The perimeter of the triangle is all the lengths added together, so we can say this:
Perimeter=3(1.75x-2)
And since the question tells us the perimeter, we can input that into the equation as well.
67.5= 3(1.75x-2)
And now we solve:
67.5= 3(1.75x-2)
Distribute 3 into the parentheses
67.5=5.25x-6
Combine like terms (move -6 to the other side)
67.6+6=5.25x
73.6=5.25x
Divide both sides by 5.25
73.6/5.25=5.25x/5.25
14=x
I hope this helps! Please comment if you have any questions.
Answer:
Not necessarily. If picture is drawn to scale, no.
Step-by-step explanation:
Line segment EF is certainly perpendicular to line segment AC, but we don't know if it bisects or not.
If the picture isn't drawn to scale, there is no way to know if EF is a perpendicular bisector to AC or not because we do not know if AD = CD.
If the picture is drawn to scale, EF is not a perpendicular bisector to AC because we can see that AD ≠ CD and therefore EF cannot be a perpendicular bisector.
The inequality should read:
Subtract 2 from all the terms:
Divide all the terms by -5 to get x by itself (note that you flip the inequality signs as you divide by a negative):
The inequality is 2 ≤ x < 8.
A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.
The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.
