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stich3 [128]
4 years ago
14

If AB = DE CA = FD angle B is congruent to angle E angle A is congruent to angle D , then ∆ABC and ∆DEF are congruent by the ASA

criterion.
Mathematics
1 answer:
bonufazy [111]4 years ago
3 0
What is f congruebt to i think it is congruent

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An equation is modeled. What value of x makes the equation true? Explain.
nirvana33 [79]

Answer:

B: x=-1

Step-by-step explanation:

5x+6=1

5x+6-6=1-6

simplify

divide by 5 on both sides

x=-1

4 0
3 years ago
Can somebody help me out with this please?
Yuki888 [10]
7 I hope this helps!
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4 years ago
How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $5 a p
EleoNora [17]
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3 years ago
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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
Arisa [49]

Answer: S_n=5(1-\dfrac{1}{n+1}) ; 5

Step-by-step explanation:

Given series : [\dfrac{5}{1\cdot2}]+[\dfrac{5}{2\cdot3}]+[\dfrac{5}{3\cdot4}]+....+[\dfrac{5}{n\cdot(n+1)}]

Sum of series = S_n=\sum^{\infty}_{1}\ [\dfrac{5}{n\cdot(n+1)}]=5[\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}]

Consider \dfrac{1}{n\cdot(n+1)}=\dfrac{n+1-n}{n(n+1)}

=\dfrac{1}{n}-\dfrac{1}{n+1}

⇒ S_n=5\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}=5\sum^{\infty}_{1}[\dfrac{1}{n}-\dfrac{1}{n+1}]

Put values of n= 1,2,3,4,5,.....n

⇒ S_n=5(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......-\dfrac{1}{n}+\dfrac{1}{n}-\dfrac{1}{n+1})

All terms get cancel but First and last terms left behind.

⇒ S_n=5(1-\dfrac{1}{n+1})

Formula for the nth partial sum of the series :

S_n=5(1-\dfrac{1}{n+1})

Also, \lim_{n \to \infty} S_n = 5(1-\dfrac{1}{n+1})

=5(1-\dfrac{1}{\infty})\\\\=5(1-0)=5

4 0
3 years ago
Solve:<br>√100 - √1 + √36​
Vladimir79 [104]

Hi there!

√100=10

√1=1

√36=6

10-1+6

9+6

15

Hope this helps

ANSWERED:\\GraceRosalia

7 0
3 years ago
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