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Genrish500 [490]
3 years ago
12

Find x [Angles and Segment]

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

  8.3 cm

Step-by-step explanation:

The product of lengths to the near and far point of intersection with the circle is the same in all cases:

  (7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)

Since we're only interested in x, we can divide by 4 and subtract 4:

  49 cm² = (4 cm)(4 cm +x)

  (49/4) cm = 4 cm +x . . . . . . divide by 4 cm

  8.25 cm = x . . . . . . . . . . . . . subtract 4 cm

To the nearest tenth, x = 8.3 cm.

_____

For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.

___

The angles depend on the size of the circle, which is not given.

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viva [34]

Answer:

A. y=-2x+5

Step-by-step explanation:

y=mx+b , m represents slope (-2), b represents y intercept (5)

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3 years ago
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Luke is decorating trees for an outdoor birthday party. There are 3 trees and Luke needs 4.25 yards of ribbon for each tree.
suter [353]

Answer:

17.85

Step-by-step explanation:

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4 years ago
What is the explicit formula for this sequence?
SVEN [57.7K]

Answer:

The correct answer is b.)

Step-by-step explanation:

Given:

Sequence  -7, -4, -1, 2, 5.......  => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5

We conclude that this sequence is arithmetic series.

First we must find difference d:

d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3

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The formula for n-th term of the arithmetic series is:

aₙ = a₁ + (n-1) d

aₙ = -7 + (n-1) 3

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4 0
3 years ago
F (x) = – x2 + 4x + 1
lora16 [44]

Answer:

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Step-by-step explanation:

if f(x) = g(x) then – x2 + 4x + 1 = x + 1

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3 years ago
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Ainat [17]

Answer:

5

Step-by-step explanation:

3x -12 = -36

-36 ÷ -3 = 12

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3 years ago
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