Given \qquad \overline{BA}\perp\overline{BD}

BA

⊥

BD

start overline, B, A, end overline, \perp, start overline, B, D, end overline

\qquad m \angle CBD = 4x + 52^\circm∠CBD=4x+52

∘

m, angle, C, B, D, equals, 4, x, plus, 52, degrees

\qquad m \angle ABC = 8x - 10^\circm∠ABC=8x−10

∘

m, angle, A, B, C, equals, 8, x, minus, 10, degrees

Find m\angle CBDm∠CBDm, angle, C, B, D:

the square root of what number? if you add that, then someone will probably answer the question.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.