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elena-14-01-66 [18.8K]
2 years ago
12

If the measure of a tangent-chord angle is 54, then what is the measure of the intercepted arc inside the angle?

Mathematics
2 answers:
ser-zykov [4K]2 years ago
7 0
108 is the awnswer.  subtract form 360
algol132 years ago
5 0

Answer:

m(intercepted arc) = 108°

Step-by-step explanation:

As we know from tangent and chord theorem in the figure attached

∠ABC = (1/2)(m intercepted arc formed by tangent and arc)

∠ABC = \frac{1}{2}(mADB)

54=\frac{1}{2}(mADB)

mADB = 54×2 = 108°

So the answer is measure of the intercepted arc = 108°

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Consider the following statement: The square of a prime number is not prime. (a) Write this as an if-then statement, using caref
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D.)

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The zero's are referencing when y=0, note that when y=0 they are talking about the x-intercepts.  You can graph the function and see when the graph crosses the x-axis or solve for the x-values.  I will solve it via factoring and so:

f(x)=x^2+5x+6

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x^2+5x+6\\\\x^2+6x-x+6\\\\x(x+6)-1(x-6)

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Now let's try 2 and 3 and so:

x^2+5x+6\\\\x^2+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+2)(x+3)

Notice how the factors (x+3) matched up so this is a factor and so is (x+2), now to solve for the zero's let's make f(x)=0 and solve each factor separately:

Case 1:

f(x)=x+2\\\\0=x+2\\\\x=-2

Case 2:

f(x)=x+3\\\\0=x+3\\\\x=-3

So your zero's are when x=-2 and x=-3.

D.) x=-3 and x=-2 because the graph crosses the x-axis at -3 and -2.


~~~Brainliest Appreciated~~~

8 0
3 years ago
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