Write 27.9 as a decimal

Answer:

student 2

Step-by-step explanation:

Even though theres  another way to solve this, I'll use graphing since we already have all the options for points

the point in blue is D, the fourth vertex. I graphed all other points and none of them made a parallelogram so student 2 is right.

Hope this helps!

Answer:

Height = 3 inches and Base length = 7 inches

Step-by-step explanation:

1. Information provided to answer the question correctly:

Base of the triangle = x+ 4

Height of the triangle = x

Area of the triangle = 10.5 inches²

2. Find the base length and height

Let's recall the formula of the area of a triangle:

Area = (Base * Height)/2

Replacing with the values we know:

10.5 = x (x + 4)/2

21 = x²+ 4x

x²+ 4x - 21 = 0

(x + 7) (x - 3) = 0

(x₁ + 7) = 0 ⇒ x₁ = -7

(x₂ - 3) = 0 ⇒ x₂ = 3

We take  x₂ as the answer because x₁ = -7 is not a valid height.

Height = 3 inches and Base length = 7 inches

n, n + 2, n + 4 - three consecutive odd ntegers

n + (n + 2) + (n + 4) = 5(n + 2) - 18     |use distributive property

n + n + 2 + n + 4 = (5)(n) + (5)(2) - 18

3n + 6 = 5n + 10 - 18

3n + 6 = 5n - 8     |subtract 6 from both sides

3n = 5n - 14     |subtract 5n from both sides

-2n = -14    |divide both sides by (-2)

n = 7

n + 2 = 7 + 2 = 9

n + 4 = 7 + 4 = 11

Answer: 7, 9, 11.