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Leno4ka [110]
3 years ago
8

What theorem can be used to prove that the two triangles are congruent?

Mathematics
2 answers:
Sergio [31]3 years ago
4 0
SSS is my best answer.
Nuetrik [128]3 years ago
3 0
The SSS Triangle Congruency Postulate.

The two triangles have corresponding, congruent sides. Side QR corresponds to and is congruent to MN as denoted by the single hash mark. Sides QS and MP are corresponding and congruent sides as denoted by the three hash marks. Sides RS and NP are corresponding, congruent sides as denoted by the two hash marks. Therefore, as the SSS postulate states, if three sides in one triangle are corresponding, congruent sides to another triangle, the two triangles are congruent. In both triangles, the three corresponding sides are congruent; therefore, the triangles are congruent.

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Calculate the quotient. Simplify your results 2/7 divided 1 2/7
Elden [556K]

Answer:

1 4/7

Step-by-step explanation:

3 0
3 years ago
If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence
horsena [70]

Therefore I earn $50 interest

Therefore I earn $30.88 interest.

I would do the first one.

Step-by-step explanation:

A.

Given , I invested $500 at 5% simple interest for 2 years.

P=$500,  r =5% and t = 2 years

Interest (I) =\frac{P \times r \times t}{100}

                  =\$\frac{500 \times 5 \times 2}{100}

                   =$50

Therefore I earn $50 interest.

B.

Given , I invested $500 at 3% compounded monthly for 2 years.

P=$500,  r =3% = 0.03 and t = 2 years

Amount (A) =P(1+\frac{r}{n})^{nt}  

                   =\$500(1+\frac{0.03}{12})^{ 2\times 12}

                   =$530.88

Interest = $(530.88-530) = $30.88

I would do the first one.

4 0
3 years ago
What is the solution to the equation 1/4x+2=-5/8x-5
Fed [463]

multiply everything by 8

2x+16 = -5x-40

-16 on both sides

2x = -5x-56

+5x on both sides

7x = -56

x=-8

so the first option

5 0
3 years ago
Read 2 more answers
5.
Bogdan [553]

<u>Answer:</u>

The present value of 10,000 if  interest is paid at a rate of 6.2% compounded  weekly for 8 years is 6097.56

<u>Explanation:</u>

We know that compound interest is given by  

A=P\left(1+\frac{r}{n}\right)^{n t}

Where ,  

Where A = final amount (which is given to be = 10000)

       P = Principal amount (which is the present amount which we have to find)

r  = interest rate = 6.2 = 0.062

n = no. of times interest applied per time period = it is given that the interest is applied weekly, so in one year there are 52 weeks so n = 52

t = time period = 8 years

Substituting the given values, we get

10000=\mathrm{P}\left(1+\frac{6.2}{52}\right)^{52\times 8}

P = 6097.5

We get, P = 6097.56 which is the present value of a sum of money

3 0
3 years ago
WhAt is the volume of the right circular cone with the radius of 4cm and a height of 12cm
aivan3 [116]
201.06 It is easy.  You can search it up on google.
5 0
4 years ago
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