Quadrilateral lmno is reflected over the line as shown, resulting in quadrilateral cdab. given the congruency statement lmno ≅ cdab, which segment corresponds to ml?

Segment DC corresponds Segment ML.

Step-by-step explanation:

Given: Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB.

Given the congruency statement LMNO ≅ CDAB.

We know that the corresponding sides and angles of two congruent polygons are equal.

If  LMNO ≅ CDAB

⇒∠L corresponds ∠C  [First letters of each name]

∠M corresponds ∠ D.   [Second letters of each name]

⇒ Segment LM corresponds Segment CD

i.e.  Segment ML corresponds Segment DC.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4