Answer:
Step-by-step explanation:
Answer:
This phrasing is unusual, but let's attempt to tackle it:
M stands for Molly's weight
A represents Arthur's weight
G signifies Ginny's weight.
We can express the total weight as:
(M + A) + G
or alternatively as:
A + (G + M)
the first configuration illustrates Molly and Arthur's weights combined (hence their weight is presented as a single value), followed by Ginny's weight calculated separately.
The second configuration indicates Arthur's weight on its own, while Ginny and Molly's weights are combined (which is why their total weight appears as a single value)
The diagrams for parts A and C are included here. For part B, we have circle O. We begin by drawing two radii OA and OC, connecting points A and C to create chord AC. The radius intersects chord AC at point B, bisecting AC into equal segments AB and BC. This gives us two triangles, ΔOBA and ΔOBC, where OA equals OC (since they're radii), OB equals OB (by the reflexive property), and AB is equal to BC (as stated in the question). By applying the SSS triangle congruence criterion, we conclude that ΔOBA is congruent to ΔOBC, allowing us to deduce that ∡OBA equals ∡OBC, both measuring 90°. Thus, OB is perpendicular to AC. Moving on to part D, we again work with circle O and draw the two radii OA and OC, joining points A and C to create chord AC. The radius intersects AC at point B, where AB is perpendicular to AC, meaning ∡B equals 90°. We then consider the right triangles ΔOBA and ΔOBC, and given OA equals OC (the radii), and OB equals OB (reflexive property), we conclude through the HL triangle congruence that ΔOBA is congruent to ΔOBC. Consequently, we find BA equal to BC, thus OB bisects AC.
Answer:
y = 2.09x^2 + 0.33x + 3.06
Detailed explanation:
Assuming that the departure day for both is day 0, Sandy's next day off occurs on day 4, while Morgan's falls on day 10. Sandy's days off will be on days 4, 8, 12, 16, and 20. Meanwhile, Morgan's days off will be on days 10, 20, 30, 40, and 50. Thus, both of them will share a day off on day 20, meaning they will next have a joint day off in 20 days.
