What are the missing parts that correctly complete the proof? given: point q is on the perpendicular bisector of segment m n. prove: point q is equidistant from the endpoints of segment m n. art: a horizontal line segment m n with x as the midpoint is drawn. a vertical line x q is drawn. q is above the horizontal line. the angle q x n is labeled as a right angle. the line segments m x and n x are labeled with a single tick mark. a dotted line is used to connect point q with point m. another dotted line is used to connect point q with point n. drag the answers into the boxes to correctly complete the proof. statement reason 1. point q is on the perpendicular bisector of mn¯¯¯¯¯¯¯. given 2. definition of bisector 3. ∠qxm and ∠qxn are right angles. definition of perpendicular 4. ∠qxm≅∠qxn 5. reflexive property of congruence 6. △qxm≅△qxn 7. corresponding parts of congruent triangles are congruent. 8. point q is equidistant from the endpoints of mn¯¯¯¯¯¯¯. definition of equidistant definition of bisectorgivenasa congruence postulatesas congruence postulateqm¯¯¯¯¯¯≅qn¯¯¯¯¯¯mx¯¯¯¯¯¯≅ nx¯¯¯¯¯¯qx¯¯¯¯¯¯≅qx¯¯¯¯¯¯all right angles are congruent.

Point Q is equidistant from the endpoints of segment M N by  Definition of equidistant.

Step-by-step explanation:

1. Point Q is on the perpendicular bisector of MN¯¯¯¯¯¯¯. Given

2.MX¯¯¯¯¯¯≅NX Definition of bisector

3. ∠QXM and ∠QXN are right angles. Definition of perpendicular

4. ∠QXM≅∠QXNAll right angles are congruent.

5.QX¯¯¯¯¯¯≅QX Reflexive Property of Congruence

6. △QXM≅△QXN Congruence PostulateSAS

7.QM¯¯¯¯¯¯≅QNCorresponding parts of congruent triangles are congruent.

8.Point Q is equidistant from the endpoints of MN¯¯¯¯¯¯¯. Definition of equidistant

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

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