Ben uses a compass and a straightedge to bisect angle pqr, as shown below:

the figure shows two rays qp and qr with a common endpoint q. an arc drawn from q cuts the ray qp at a and the ray qr at b. two small arcs intersect between the lines qp and qr. the point of intersection of the arcs is labeled s. the points q, s, and t are joined with a line.

which statement best explains why ben uses the same width to draw arcs from a and b that intersect at s?

bq = bs when ∠aqs ≅ ∠bqs.
aq = as when ∠aqs ≅ ∠bqs.
∠aqs ≅ ∠bqs when as = bs and aq = bq.
∠aqs ≅ ∠bqs when as = bq and bs = aq.

28

step-by-step explanation:

because that's the answer

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

13664

step-by-step explanation:

=cross multiply

=100 x = 13664