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CaHeK987 [17]
3 years ago
14

I don’t know, please help

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

start with -29, multiply each term by 3

start with 90, multiply each term by 0.2

start with 67 and multiply each term by 2

The colony has 8576 cells after 7 minutes

Step-by-step explanation:

The pattern for the first part of Q2 is multiply each term by 3.

-29, -87, -261, -783... <u>start with -29, multiply each term by 3 </u>

The pattern for the second part of Q2 is multiply each term by 0.2.

90, 18, 3.6, 0.72... <u>start with 90, multiply each term by 0.2 </u>

The pattern for the third part of Q2 is multiply each term by 2

<u>start with 67 and multiply each term by 2 </u>

The colony has 67×2×2×2×2×2×2×2= <u>8576 cells after 7 minutes</u>

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The sentence which accurately completes the proof is: "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem." ⇒ 2nd answer

Step-by-step explanation:

Let us revise the cases of congruence

  • SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  • SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
  • ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
  • AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
  • HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ  

In Parallelogram ABCD

∵ Segment AB is parallel to segment DC

∵ Segment BC is parallel to segment AD

- Construct diagonal A C with a straightedge

In Δs BCA and DAC

∵ AC is congruent to itself ⇒ Reflexive Property of Equality

∵ ∠BAC and ∠DCA are congruent ⇒ Alternate Interior Angles

∵ ∠BCA and ∠DAC are congruent ⇒ Alternate Interior Angles

- AC is joining the congruent angles

∴ Δ BCA is congruent to Δ DAC by ASA Theorem of congruence

By CPCTC

∴ AB is congruent to CD

∴ BC is congruent to DA

The sentence which accurately completes the proof is: "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem."

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3 years ago
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