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adelina 88 [10]
3 years ago
13

If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the cho

rd?
A. 15.2 units

B. 3.8 units

C. 30.4 units

D. 7.6 units

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!


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zimovet [89]
Answer:
First choice is the correct one

Explanation:
The given is:
[(x+5) / (x+2)] - [(x+1) / x(x+2)]
First, we will need to have a common denominator and then we will solve the subtraction normally. To get a common denominator, we will have to multiply both numerator and denominator of first term by x.

Therefore:
[(x+5) / (x+2)] - [(x+1) / x(x+2)] = [x(x+5) / x(x+2)] - [(x+1) / x(x+2)]
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3 0
3 years ago
Select the point that is a solution to the system of inequalities. Yx^2-4?
ziro4ka [17]

Answer:

C (1,2)

Step-by-step explanation:

The point that is a solution must satisfy both inequalities;

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y\:

y\:>\:x^2-4

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0\:: True

0\:>\:16-4:False

Point B (0,4)

4\:: False

4\:>\:0-4:True

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2\:: True

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Point D(-2,-4)

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The correct answer is C.

4 0
3 years ago
Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaT
marissa [1.9K]

Given:

Susan divides the fraction \dfrac{5}{8} by \dfrac{1}{16}.

Her friend Robyn divides \dfrac{5}{8} by \dfrac{1}{32}.

To find:

The quotient of Susan and Robyn.

Solution:

Susan divides the fraction \dfrac{5}{8} by \dfrac{1}{16}.

\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}

\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}

\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10

So, Susan's quotient is 10.

Her friend Robyn divides \dfrac{5}{8} by \dfrac{1}{32}.

\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}

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Since 20>10, therefore, Robyn will get greater quotient.

3 0
3 years ago
What is the value of z in the equation 2(4z − 9 − 7) = 166 − 46?
kumpel [21]
Hi there!

2(4z - 9 - 7) = 166 - 46
let's make this a little more simpler...

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use distributive property.
multiply 2 and 4z , 2 and -16.
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add 32 on both sides to isolate the variable

8z = 152

divide both sides by 8...

z = 19

So your answer is A. 19

Hope this helped!! :)
8 0
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