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hoa [83]
2 years ago
9

Suppose both pairs of corresponding legs of two right triangles are congruent. Are the triangles congruent?

Mathematics
1 answer:
vredina [299]2 years ago
6 0

Answer:

<h3>7jhvnkkigvnj5dfjuscg77900744yj</h3>
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SOS if anyone could help that would be appreciated!!!❤️
Anastaziya [24]

Answer:

See below

Step-by-step explanation:

2e)15-4x=10x+45

Solve:

15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}3(x+1)=21

Check:

15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45

15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45

\dfrac{210}{7}  =30

30=30

3a) 3(x+1)=21

Solve:

3(x+1)=21\\3x+3=21\\3x=18\\x=6

3b) 2+3(x+1)=6x

2+3x+3=6x\\5=3x\\

x=\dfrac{5}{3}

3c) -2(2x-3)=-2

Solve:

-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2

3 0
3 years ago
What’s 2+8? A.10 B.6 C.387 D.11. Note: PLEASE HURRY IVE BEEN TRYING TO FIGURE THIS OUT ALL DAY!!
Leviafan [203]

Answer:

i think its 10 if not then 387

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write out the first four terms of the series to show how the series starts. Then find the sum of the series or show that it dive
Nostrana [21]

Answer:

The first four terms of the series are

(9+3),(\frac97+\frac35),(\frac9{7^2}+\frac3{5^2}),(\frac9{7^3}+\frac3{5^3})

\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n} = 14.25

Step-by-step explanation:

We know that

Sum of convergent series is also a convergent series.

We know that,

\sum_{k=0}^\infty a(r)^k

If the common ratio of a sequence |r| <1 then it is a convergent series.

The sum of the series is \sum_{k=0}^\infty a(r)^k=\frac{a}{1-r}

Given series,

\sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}

=(9+3)+(\frac97+\frac35)+(\frac9{7^2}+\frac3{5^2})+(\frac9{7^3}+\frac3{5^3})+.......

The first four terms of the series are

(9+3),(\frac97+\frac35),(\frac9{7^2}+\frac3{5^2}),(\frac9{7^3}+\frac3{5^3})

Let

S_n=\sum_{n=0}^\infty \frac{9}{7^n}    and     t_n=\sum_{n=0}^\infty \frac{3}{5^n}

Now for S_n,

S_n=9+\frac97+\frac{9}{7^2}+\frac9{7^3}+.......

    =\sum_{n=0}^\infty9(\frac 17)^n

It is a geometric series.

The common ratio of S_n is \frac17

The sum of the series

S_n=\sum_{n=0}^\infty \frac{9}{7^n}

    =\frac{9}{1-\frac17}

    =\frac{9}{\frac67}

    =\frac{9\times 7}{6}

    =10.5

Now for t_n

t_n= 3+\frac35+\frac{3}{5^2}+\frac3{5^3}+.......

    =\sum_{n=0}^\infty3(\frac 15)^n

It is a geometric series.

The common ratio of t_n is \frac15

The sum of the series

t_n=\sum_{n=0}^\infty \frac{3}{5^n}

    =\frac{3}{1-\frac15}

    =\frac{3}{\frac45}

    =\frac{3\times 5}{4}

    =3.75

The sum of the series is \sum_{n=0}^\infty \frac9{7^n}+\frac{3}{5^n}

                                        = S_n+t_n

                                       =10.5+3.75

                                       =14.25

4 0
3 years ago
Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left. Matias
olga2289 [7]

Answer:

Matias divided 7.6 by 10 raised to the power of -2.

Step-by-step explanation:

Given : Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left.

To find : Matias divided 7.6 by 10 raised to the power of ?

Solution :

Matias preformed an operation with 7.6 and a number.

He ended up moving the decimal point in 7.6 two places to the left we have to multiply it with 0.01

i.e. 7.6\times 0.01=\frac{7.6}{100}=0.076

So, Matias divided 7.6 by 10 raised to the power of -2.

5 0
3 years ago
What is .6 as a fraction
gladu [14]
0.6 as a fraction in simplest form is 3/5
3 0
3 years ago
Read 2 more answers
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