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Free_Kalibri [48]
2 years ago
14

Here is a sequence of numbers:

Mathematics
1 answer:
Anettt [7]2 years ago
8 0

Triangular number sequnce

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If the square root of 61 is the longest side length in the triangle and the shorter sides are x and x+1, find the value of x tha
Tju [1.3M]

Answer:

  x = 5

Step-by-step explanation:

You want to find x such that ...

  x^2 +(x +1)^2 = 61

  2x^2 +2x -60 = 0 . . . . . simplify, subtract 61

  x^2 +x -30 = 0 . . . . . . . divide by 2

  (x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.

The relevant solution is x = 5.

5 0
2 years ago
Plz help me.
Andre45 [30]
Answer: 60 degrees

Explanation: the angles of a triangle sum to 180 degrees, and all the angles in an equilateral triangle are the same so every angle in an equilateral triangle must equal 60 degrees.
8 0
3 years ago
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Can someone please fill this worksheet out for me? Ive been trying at it for an hour. <br> Thanks!
Tasya [4]
See attached picture for answers:

5 0
3 years ago
HELPPP!!!<br> What is the value of f(4)
alex41 [277]

Answer:

f(4) = 0

Step-by-step explanation:

If the value of x is between 0 and 5, then the f(x) will equal 0.

x = 4 is greater than 0 and less than 5, so f(4) = 0

4 0
2 years ago
10
Alexeev081 [22]

Answer:

The expression you can use to find out how many boys is b + (b - 84) = 1824

There are 954 boys at Southside High School

There are 870 girls at Southside High School

Step-by-step explanation:

Assume that the number of boys in the Southside High School is b

∵ There are b boys in the Southside High School

∵ The number of girls is 84 fewer than boys

→ Subtract 84 from b to find the number of girls

∴ The number of girls in the Southside High School is (b - 84)

∵ Southside High School has a total of 1824 students

→ That means the sum of the numbers of the boys and the girls is 1824

∴ b + (b - 84) = 1824

∴ The expression you can use to find out how many boys is

   b + (b - 84) = 1824

→ Add the like terms in the left side

∴ (b + b) - 84 = 1824

∴ 2b - 84 = 1824

→ Add 84 to both sides

∵ 2b - 84 + 84 = 1824 + 84

∴ 2b = 1908

→ Divide both sides by 2 to find b

∵ \frac{2b}{2}=\frac{1908}{2}

∴ b = 954

∴ There are 954 boys at Southside High School

∵ The number of girls at Southside High School = b -84

→ Substitute b by 954

∴ The number of girls at Southside High School = 954 - 84

∴ The number of girls at Southside High School = 870

∴ There are 870 girls at Southside High School

4 0
3 years ago
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