First, we know the area of a square is side length side length = Area. For this square, the area would be:
18*18=A
324 = A
Now that we know the area that is being referened, we can look at the formula for the area of a rectangle, which is width * length = Area. We know the length and we know the area, so we can fill in these known values and solve for the unknown width.
w*l = A
w*6=324
w=324/6
w=54
So our rectangle has the width of 54 and the length of 6. Lastly, the formula for perimeter is 2w + 2l = P. We can again fill in our knowns and solve for the unknown.
2(54) + 2(6) = P
108 + 12 = P
120 = P
The perimeter of the rectangle is 120 cm.
To the find average of the test scores, we need to find the mean.
To find the mean, all we need to do is add up all the numbers and then divide the answer by how many numbers there are
81 + 83 + 85 = 249
249 ÷ 3 = 83
Therefore, the new average is 83
Hope this helps
<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>
Answer:
i think is 7/12
because if 4/7 chose pasta,1/5 chose pizza then we add 7+5=12 then we sudstract 12-4-1 = 7.
hope that helps
