Answer:._.
Step-by-step explanation:
Answer:
equilateral triangle all angles add up to 180 and are equal so each angle is 60 degrees
angles on a line add up to 180.
angle CBD = 180-60 = 120
DBC is an isosceles triangle so it's base angles are the same.
180-120= 60
60/2=30
Let's solve your inequality step-by-step.
|−5−3x|>2
|−3x−5|>2
Solve Absolute Value.
|−3x−5|>2
We know either−3x−5>2or−3x−5<−2
−3x−5>2(Possibility 1)
−3x−5+5>2+5(Add 5 to both sides)
−3x>7
−3x
/−3
>
7
/−3 (Divide both sides by -3)
x<
−7
/3
−3x−5<−2(Possibility 2)
−3x−5+5<−2+5(Add 5 to both sides)
−3x<3
−3x
/−3
<
3
/−3 (Divide both sides by -3)
x>−1
Answer:
x<
−7
/3 or x>−1
Step-by-step explanation:
Hi there!
In order to set each equation equal to each other, we must have them both equal the same variable.
Rearrange the top equation to make it equal to y:
x - y = -4
Add 4 to both sides and add y to both sides:
x + 4 = y
Now, we can set both equations equal to each other:
x + 4 = 5(x + 1)² - 3
Begin solving by expanding the square binomial:
x + 4 = 5(x² + 2x + 1) - 3
Simplify:
x + 4 = 5x² + 10x + 5 - 3
x + 4 = 5x² + 10x + 2
Bring all terms to one side:
0 = 5x² + 9x - 2
Factor:
0 = (5x - 1)(x + 2)
Set the other factor equal to 0:
5x - 1 = 0
5x = 1
x = 1/5
Plug in this value of x into an original equation:
1/5 - y = -4
1/5 + 4 = y
1/5 + 20/5 = y
y = 21/5