Angles 1 and 4 are alternate angles and thus have the same measurement. You will set their equations equal to each other and solve for the variable.

6n + 1 = 4n + 19

Subtract 1 and 4n from both sides to get variables on one side and constants on the other.

6n - 4n = 19 - 1

Combine like terms and solve for n.

2n = 18
n = 18 / 2
n = 9

Angles 1 and 2 are congruent as labeled in the graph.

So angle 2 is also 6n + 1

Plug in for 9 for n

6(9) + 1
54 + 1
55

Option C is your answer.

7 0

3 years ago

The measure of the base of a triangle is represented by 4x+3 and the height is 6x represent the area of the triangle as a polyno

Juliette [100K]

Answer:

$12x^2+9x$

Step-by-step explanation:

The formula of the area of a triangle is $\frac{bh}{2}$ . Plugging in the given base and height values, you get $\frac{(4x+3)(6x)}{2}=\frac{24x^2+18x}{2}=12x^2+9x$ . Hope this helps!