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Alexandra [31]
3 years ago
5

Two chords in a circle intersect. One chord is made of 6 and 5, and the other is made of x +1 and x. What is x?

Mathematics
1 answer:
Zolol [24]3 years ago
4 0

Answer:

x = 5 and -6

Step-by-step explanation:

Using the intersecting chord theorem which states that the products of the lengths of the line segments on each chord are equal.

Hence:

let

a = 6, b = 5, c = x+1 and d = x

Therefore, ab = cd

6*5 = x(x+1)

30 = x²+x

x²+x - 30 = 0

x²+ 6x - 5x - 30 = 0

x(x+6) - 5(x+6) =0

(x-5)(x+6) = 0

x-5 =0 and x+6 = 0

x = 5 and -6

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What are a missing number 3/5=...../20 12/16=..../8​
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Step-by-step explanation:

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Please help me on this problem
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Answer:

The Proof with Figure, Statement and Reasons is given below.

Step-by-step explanation:

Given:

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Proof:

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6 0
3 years ago
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15
Valentin [98]

Answer:

(a) = 11 cm

Step-by-step explanation:

The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.

The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.

  1. B + (1/2*80*15) = 1040
  2. B + 600 = 1040
  3. 1040 - 600 = 440 (440 is the area of pentagon)
  4. 1/2*a*(16*5) = 440
  5. 40*a = 440
  6. 440/40 = 11

The apothem is 11 cm. Hope this helps!

6 0
3 years ago
4. Solve using elimination.<br> 4x -3y = 9<br> 3x +2y = 11
UNO [17]
Answer: (3,1)

Explanation:
8 0
3 years ago
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