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3 years ago

1. Use the clues below to determine Luke's house number

Mathematics

2 answers:

Olegator [25]3 years ago

7 0

I think it is b
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mash [69]3 years ago

7 0

First digit: A*1 =2 , A=2
Second digit: First digit*8 = 1*8 = 8
Third digit: 6-fourth digit => 6-6 =0
Fourth digit: Fourth digit-First digit=5 => Fourth digit=5+first digit= 5+1 = 6

The house number= 1806.

The correct answer is A. 1806

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A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the

Amanda [17]

Answer:

The measure of the third arc is $150\°$

Step-by-step explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

$42\°=\frac{1}{2}(x-y)$

$84\°=(x-y)$ ----> equation A

$\frac{x}{y}=\frac{7}{3}$

$x=\frac{7}{3}y$ -----> equation B

Substitute equation B in equation A and solve for y

$84\°=(\frac{7}{3}y-y)$

$84\°=(\frac{4}{3}y)$

$y=3*84\°/4=63\°$

Find the value of x

$x=\frac{7}{3}(63\°)=147\°$

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

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substitute the values and solve for z

$147\°+63\°+z=360\°$

$z=360\°-(147\°+63\°)=150\°$

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Answer:

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Hello There!

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Answer:

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2 years ago

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Answer:

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Step-by-step explanation:

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