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Anton [14]
3 years ago
6

Property of Circles: Segment Relationships in Circles​

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0

Answer: x=5

Step-by-step explanation:

-Dominant- [34]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Two secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the external part and the entire secant of the other, that is

(x - 2)(x - 2 + x + 4) = 4(4 + 5)

(x - 2)(2x + 2) = 4(9) = 36 ← distribute and simplify the left side

2x² + 2x - 4x - 4 = 36

2x² - 2x - 4 = 36 ( subtract 36 from both sides )

2x² - 2x - 40 = 0 ( divide through by 2 )

x² - x - 20 = 0 ← in standard form

(x - 5)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 4 = 0 ⇒ x = - 4

But x > 0 ⇒ x = 5

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Miya is picking up two friends to go the beach. She drives from her house to
Serga [27]

Answer:

Option (C)

Step-by-step explanation:

Coordinates of the point representing the location of Miya → (1, 10)

Coordinates of the point representing the location of Drea → (13, 1)

Coordinates of the point representing the location of Francine → (16, 1)

Coordinates of the point representing the location of Beach → (19, 4)

Distance between Miya and Drea = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

                                                        = \sqrt{(13-1)^2+(1-10)^2}

                                                        = \sqrt{144+81}

                                                         = 15 miles

Distance between Drea and Francine = \sqrt{(16-13)^2+(1-1)^2}

                                                               = 3 miles

Distance between Francine and Beach = \sqrt{(19-16)^2+(4-1)^2}

                                                                  = \sqrt{9+9}

                                                                  ≈ 4.2 miles

Total distance between Miya and the beach = 15 + 3 + 4.2

                                                                          = 22.2 miles

Option (C) is the answer.

5 0
3 years ago
Help me to simplify; <br> log_{5} 12.5+log_{5}10
liq [111]

Answer:

15.726

Step-by-step explanation:

log 5=0.698×12.5

=8.737

=0.698×10

=6.989

=8.737+6.989

=15.726

8 0
3 years ago
Find the missing side. Round your answer to the nearest tenth.
nikdorinn [45]

Answer:

sin\left(90\right)/x=sin\left(25\right)/16

x = 37.85

Step-by-step explanation:

4 0
3 years ago
Explaining a Rule for Dividing Fractions
Harlamova29_29 [7]

Answer:

One rule for dividing fractions is the rule where instead of doing 13/43, you can do 13 times 1/43.

Step-by-step explanation:

Yeah

5 0
3 years ago
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