Answer:
The number is 18
Step-by-step explanation:
You can write an equation to represent this. Let x represent the unknown number.
3x - 18 = 2x
Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.
3x - 2x - 18 = 0
Simplify like terms.
x - 18 = 0
Move -18 to the right of the equals sign.
x = 18
Now that we know x = 18, we can substitute it into the problem.
"Eighteen less than three times 18 is two times 18."
18 x 3 = 54
54 - 18 = 36
36 is, in fact, two times 18. We can check this by dividing 36 by 2.
36 ÷ 2 = 18
That’s the answer to your question.
Answer:
Option B is correct.
Step-by-step explanation:
We have given a triangle ABC and EDC please look at the figure
We can see that AE and BD are transversal therefore, ∠EAB=∠AED being alternate interior angles
And ∠ACB=∠DCE are vertically opposite angles hence, equal
So, by AA similarity postulate the above to triangles are similar
ΔABC 
ΔEDC
Therefore, Option B is correct that is Triangle ABC is similar to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
NOTE: m∠3 = m∠4 corresponds to m∠ACB=m∠DCE
And m∠1 = m∠5 corresponds to m∠EAB=m∠AED
Answer:
The range here is the set {8, -10, -4, 20, 32}.
Step-by-step explanation:
Please use " ^ " to denote exponentiation. Thanks. f(x)=x^2 + 5x - 4
f(-4)=(-4)^2 + 5(-4) - 4 = 8
f(-2)=(-2)^2 + 5(-1) - 4 = -10
f(0)=0^2 + 5(0) - 4 = -4
f(3) =3^2 + 5(3) - 4 = 20
f(4)=4^2 + 5(4) - 4 = 32
In this problem we have to calculate the actual function values for the given domain (input values). The range here is the set {8, -10, -4, 20, 32}.
