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spayn [35]
2 years ago
9

I NEED HELP ASAP! In a magic square, the sum of the numbers in each row, column, and diagonal is the same. Write and solve equat

ions to find the values of a, b, and c.

Mathematics
1 answer:
Trava [24]2 years ago
8 0

Answer:

a=22,\\b=31,\\c=13

Step-by-step explanation:

When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.

Sample solution:

a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}

16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}

34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}

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A fair coin is tossed four times. What is the probability that the number of heads appearing on the first two tosses is equal to
alekssr [168]

Answer: 3/8

Step-by-step explanation:

Since it is a fair coin, then generally, P(Head) = P(Tail) = ½

And since we've been asked to find the probability that the number of heads in the first two tosses be equal to the number of heads in the second two tosses, tossing a fair coin four times, the possible outcomes of having equal number of heads in first two tosses and second two tosses becomes:

[HHHH] or [HTHT] or [THTH] or [TTTT] or [HTTH] or [THHT]

=[½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½]

=1/16 * 6

=6/16

=3/8.

8 0
3 years ago
Chris Johnson earns $34,850 annually as an engineer. She single on sports your father. The state tax rate in her state is 3% of
Natasha2012 [34]

Answer: 1,045.50

Step-by-step explanation: hope this helps champ.

6 0
4 years ago
Given the information in the diagram below, find the measure of angle N. Use RACE and complete sentences to show how you found t
Sonja [21]

Answer:

m<N = 76°

Step-by-step explanation:

Given:

∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).

m<J = 64° (given)

Required:

m<N

SOLUTION:

m<K = m<J (base angles of an isosceles ∆ are equal)

m<K = 64° (Substitution)

m<K + m<J + m<JLK = 180° (sum of ∆)

64° + 64° + m<JLK = 180° (substitution)

128° + m<JLK = 180°

subtract 128 from each side

m<JLK = 180° - 128°

m<JLK = 52°

In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.

Thus:

m<MLN = m<JKL (vertical angles are congruent)

m<MLN = 52°

m<M = m<MLN (base angles of isosceles ∆MNL)

m<M = 52° (substitution)

m<N + m<M° + m<MLN = 180° (Sum of ∆)

m<N + 52° + 52° = 180° (Substitution)

m<N + 104° = 180°

subtract 104 from each side

m<N = 180° - 104°

m<N = 76°

4 0
3 years ago
Coco's garden has 888 tomato plants, 444 pepper plants, 333 squash plants, and 666 pumpkin plants.
AveGali [126]
888 + 444 + 333 + 666 = 2331 / 7 = 3

3 * 222 = 666

There are 666 of the plants 

I hope this helps :)
6 0
3 years ago
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