Clara claims "all obtuse triangles are similar." Which statement best describes Clara's claim?

A. It is true because in every obtuse triangle the sum of two acute angles is less than 90
degrees.

B. It is true because in every obtuse triangle the side between the two acute angles is the
longest side.

C. It is false because two obtuse triangles could have sets of angles that are not equal.

D. It is false because in two obtuse triangles only the obtuse angles can be congruent,

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

536

step-by-step explanation:

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: 193

explanation:

200-7 = 193