Quadrilateral PQRS is reflected over the y-axis to create quadrilateral P'Q'R'S'. which angle has the greatest measure? (P =90° , Q=120° , R=100° , S=50°)

A. P'

B. Q'

C. R'

D. S'

B.Q'

Step-by-step explanation:

Quadrilateral PQRS is reflected over the y-axis to create quadrilateral P'Q'R'S'.

Angle P=90 degree

Angle Q=120 degree

Angle R=100 degree

Angle S=50 degree

We know that in reflection across y- axis the size of figure  does not change.

The coordinates of figure are change.

Therefore, angle measure of quadrilateral P'Q'R'S' are remains same as in quadrilateral PQRS.

The angle measure  of Q is largest.

Angle Q=Angle Q'

Hence, the angle which has greater measure=Q'

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.