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2 years ago

Tyrell is going to be use ASA to prove that PQR=SQR

Mathematics

2 answers:

motikmotik2 years ago

8 0

Presumably our goal is to show PRQ=SRQ, PQR=SQR and QR=QR for ASA.

A. QR=QR is the reflexive property; things are congruent to themselves, TRUE

B. We need to prove that, but it doesn't have anything to do with the symmetric property.

C. PQ=SQ isn't something we'd need to show for our ASA proof

D. Again, not the symmetric property.

Answer: A

N76 [4]2 years ago

7 0

Answer: A. Prove that QR≅QR by the reflexive property.

Step-by-step explanation:

ASA postulate says that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are said to be congruent.

In the given triangles ΔPQR and ΔSQR

∠PQR ≅∠SQR {given}

∠QRP ≅ ∠QRS {given}

In the figure , the included side of ∠PQR and ∠QRP= QR

The included side of ∠SQR and ∠QRS =OR

So we need to probe QR≅QR by Reflexive property, to prove triangles ΔPQR and ΔSQR are congruent.

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Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

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Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

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1 year ago

The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in theratio is 10, what is the Second numb

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Answer:

10:40

Step-by-step explanation:

As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.

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2 years ago

Read 2 more answers

Kim's business earns $10,000 per month. Kim's non-employee expenses are $3,000 per month. If Kim wants $2,000 in profit per mont

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Answer:

Kim's business earns $10,000 per month.

Kim's non-employee expenses are $3,000 per month.

If Kim wants $2,000 in profit per month, then the maximum amount Kim can spend for employee:

10000 - 3000 - 2000 =5000

If each employee costs $1,000 per month, Kim can recruit 5000/1000 = 5 as the maximum number of employees.

Hope this helps