Answer:
The invalid statement is 4) Segment AP is congruent to segment PQ.
We conclude that 2) Segment RB is congruent to segment CS.
Step-by-step explanation:
Given, line segment AB & CD
Here, P is the midpoint of AB ⇒ AP=PB
& Q is the midpoint of CD ⇒ CQ=QD
It is given that P is point on AB not on CD ∴ there is no relation of point P with line segment CQ.
Hence, the invalid statement is
Segment AP is congruent to segment PQ.
Now, given that R is the midpoint of AP ⇒ AR=RP
& S is the midpoint of QD ⇒ QS=SD
AB≅CD (Given)
≅
PB ≅ CQ (∵from midpoint statements)
∵ PA=QD ⇒ PR=QS
Because PB≅CQ
PB+PR≅CQ+QS
⇒ RB≅CS
Therefore, Segment RB is congruent to segment CS
Step-by-step explanation:
In a self-service area, cross-contamination can occur when there are bacteria in a kitchen that are transmitted to the food by direct contact. Typically in the culinary, a knife or cutting board is the most common kitchen devices that appear to be tainted by cross contamination. In reality, it's not only bacteria that are transported or relocated from one location to another, but may also be a virus or toxin of some kind or even a cleaning product, so whatever it is, it is considered a cause of cross-contamination if it eventually comes into contact with somebody's food.
The angle here is an acute angle at ground level. Then the side adjacent to this angle is 126 feet. The opp. side is the tower, 111 feet tall.
Then
tan theta = opp / adj = 111 / 126. Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).
The answer is ##############
Answer:
First option: 3 blocks to the right, 5 blocks down
Step-by-step explanation: