Will mark brainliest! what is the area of this figure?
select from the drop-down menu to correctly complete the statement.
the area of the figure is cm².
answers: 56, 90, 146, 216

The area of the figure is C. 146 cm²

Step-by-step explanation:

The figure contains trapezium and a triangle.

Area of the figure = Area of trapezium + Area of triangle

So, the area of the trapezium is given by

Area =

1/2 x (a + b) x h

1/2 x (14 + 4) x 10

1/2 x 18 x 10

= 90 cm²

Height of triangle is given by

18 - 10 = 8cm

The area of the triangle would be

1/2 x base x height

1/2 x 14 x 8

= 56 cm²

The total area of the figure is given by

90 + 56 = 146 cm²

So, C is correct.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.