Abcd is quadrilateral. Work out the lenght of CD. Give your answer correct to 3 significant figures

DC ≈ 26.1 cm(3 significant figures)

Step-by-step explanation:

The sum of interior angles of a quadrilateral is equals to 360 degree. For a regular quadrilateral, each angle is equals to 90 degree.

BDC is a triangle and angles in a triangle sum up to 180° . Therefore, to find ∠BDC

180 - 102° + 52°  = ∠BDC

180 - 154 = 26°

∠BDC = 26°

Angle ABD can be found same way since sum of interior angles in a triangle is 180°.

∠ABD  = 180 - 90 - 35

∠ABD = 55°

Side BD can be find as follows

sin 35° = opposite/hypotenuse

sin 35° = 12/BD

BD sin 35° = 12

BD = 12/sin 35°

BD = 12/0.57357643635

BD = 20.9213615475

BD ≈ 21 cm

Using sine formula we can find side CD

21/sin 52° = DC/sin 102°

DC sin 52° = 21 sin 102°

DC = 21 sin 102°/sin 52°

DC = 0.97814760073  × 21/0.7880107536

DC = 20.5410996154 /0.7880107536

DC = 26.0670295696

DC ≈ 26.1 cm(3 significant figures)

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

it has changed from the width and the height.

step-by-step explanation: