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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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The completely factored form of p^4-16 is:

$(p^2+4)(p+2)(p-2)$

Step-by-step explanation:

We have to factorize the given expression to get the final result

Given

$p^4-16\\Using\ Formula: a^2-b^2=(a+b)(a-b)\\(p^2)^2-(4)^2\\=(p^2+4)(p^2-4)$

p^2-4 can further be factored again

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The completely factored form of p^4-16 is:

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2 years ago

Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un

Nataly_w [17]

Answer: 0.1289

Step-by-step explanation:

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Sample size : $n=12$

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Standard deviation = $\sigma=\sqrt{np(1-p)}$

$\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369$

Let x be a binomial variable.

Using the standard normal distribution table ,

$P(x=4)=P(x\leq4)-P(x\leq3)$ (1)

Z score fro normal distribution:-

$z=\dfrac{x-\mu}{\sigma}$

For x=4

$z=\dfrac{4-1.8}{1.2369}\approx1.78$

For x=3

$z=\dfrac{3-1.8}{1.2369}\approx0.97$

Then , from (1)

$P(x=4)=P(z\leq1.78)-P(z\leq0.97)\\\\=0.962462-0.8339768\approx0.1289$

Hence, the probability that four students are absent = $0.1289$

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2 years ago

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insens350 [35]

Answer is $14, I think.

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2 years ago

A bicycle wheel has an inside radius of 12 inches. Which expression could be used to find the inside circumference of this wheel

il63 [147K]

Step-by-step explanation:

We have given that,

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2 years ago

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Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

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