54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term.
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression
The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.
<h3>How to Prove Two Triangles are Congruent?</h3>
The following theorems can be used to prove that two triangles are congruent to each other:
- SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
- ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
- SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.
The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.
This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.
The answer is: b. ASA.
Learn more about congruent triangles on:
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Answer:
Hello The answer is D
Step-by-step explanation:
Why would you submit FICTIONAL dates for a autobiography about
your REAL life.
Answer:
Each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.
Step-by-step explanation:
The amount spent on supplies is $20.
The number of cookies baked is = 50.
If the profit to be made is more than $25.00 .
Then we can safely say that all the cookies have to be sold for
= $20.00 + $25.00
= $45.00
Therefor the required inequality can be written as
50 x ≥ $45.00 ⇒ x ≥ 
⇒ x ≥ $0.90.
Therefore we can say that each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.
Answer: 20%
Step-by-step explanation: if you set up a proportion 1/5 = x/100 (1/5 is the allowance she saves out of the amount she earns, and x/100 is the proportion for a %). Cross multiply. 100=5x, then solve the equation. 100/5 is 20. Therefore 1/5 is 20%.
