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2 years ago

Find the next number in the sequence: 10, 37, 82, 145, 226,

Mathematics

2 answers:

eduard2 years ago

6 0

Answer:

325

Step-by-step explanation:

10 is 3^2 + 1

37 is 6^2 + 1

82 is 9^2 + 1

145 is 12^2 + 1

226 is 15^2 + 1

325 is 18^2 + 1

325 is the next number in the sequence and is also the answer.

lisabon 2012 [21]2 years ago

4 0

Answer:

325

Step-by-step explanation:

Please vote for Brainliest and hope this helps!

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Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)

Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

In triangle ABC:

$|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}$

In triangle MNO:

$|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }$

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

$|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8$

Hence O = (4, 8)

3 0

3 years ago

A total of 3 cards are chosen at random, without replacing them, from a standard deck of 52 playing cards. What is the probabili

Minchanka [31]

Answer: $\dfrac{1}{5525}$

Step-by-step explanation:

The total number of cards =52

The number of kings in the cards = 4

If repetition is not allowed , then the total number of ways of choosing 3 cards will be :-

$52\times51\times50=132600$

The number of ways of choosing 3 kings will be :-

$4\times3\times2=24$

Now, the probability of choosing 3 king cards will be :-

$\dfrac{24}{132600}=\dfrac{1}{5525}$

Hence, the probability of choosing 3 king cards = $\dfrac{1}{5525}$

4 0

3 years ago

Nara ran 14 miles she ran 2 more miles than Alicia. How many miles did Alicia run.

Viktor [21]

Answer:

Alicia ran 12 miles.

Step-by-step explanation:

They said that Nara ran 14 miles and she had ran 2 more than Alicia, so that would be 14 - 2 which is 12.

8 0

3 years ago

Read 2 more answers

PLEASE HELP ME, FIRST ANSWER WILL GET BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Bumek [7]

11. 2x+3x+1=21
5x+1 =21
5x=20
x=4
TU= 2(4) which is 8
UB= 3(4)+1 which is 13

12. 4x-1 +2x-1=5x
6x-2=5x
-2=-1x
2=x

X=2
TU= 7
UB= 3
TB=10

Problem 13:

2x-8=x+17
2x=x+25
x=25
AB =42
BC=42
AC=84

Problem 14:
3x-31
-x+6
=
2x-37 for BC part now we solve for x
x+6=2x-37
6=x-37
43=x
So :
X=43
AB=49
AC=98
BC=49

5 0

3 years ago

Which of the following functions is graphed below

elena-s [515]

Answer:

Step-by-step explanation:

bet

7 0

3 years ago