<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.
</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent.
2) We know that angles PCA and PCB are right angles by the definition of perpendicular.
Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
3) PC ≅ PC by the reflexive property congruence.
The reflexive property congruence states that any shape is congruent to itself.
4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent).
CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.
<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
I believe the question is saying - Confetti is dropped at x height and a person stands at y high, whats the difference between x and y. If the confetti falls at z speed, how long does the person have to wait until the confetti has fallen, to unsure he does not get hit.
Not entirly sure and can't work it out 100% as i would need all tables, charts and questions.
Answer:
9cm 5cm 12cm
Step-by-step explanation:
<u>Answer: </u>
Tacos and Pizza both will be served on 12th day of school
<u>Explanation:</u>
Given, pizza is served in the school cafeteria every fourth school day.
And, on every 3rd school day Tacos are being served.
If both are served today then we have to find the number of days after which both will be served on the same day again.
Taking LCM of 4 and 3 to solve the question,
LCM of 4 and 3 = 4×3 = 12
Therefore, after 12 days both will be served on the same day.
Answer:
1.) How many square feet of flooring can Tad install in eight hours? 384 square feet
2.) How many square feet of flooring can Janice install in five hours? 480 square feet
3.) If they each work for 12 hours, how many square feet of flooring can they install? 1,728 square feet.
I hope i helped alot :)
