Answer/Step-by-step explanation:
1. <B is an inscribed angle in a circle which intercepts arc AC.
Therefore, m<B = ½ of m<AC
B = ½ * 128° = 64°
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. The circle given shows two chords intersecting at point H.
According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.
Therefore,
Solve for x
Divide both sides by 10
The first one is 4*8*6=192. 4*10*3=120. 192+120=312. the answer is 312.
the second one is 9x+24. you do this by multiplying the 3 by the parenthesis and then the 2 by its parenthesis then combine variables.
Answer:
The answer is <em>C</em>
Explanation: Given:A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.
there is only 2 numbers which are greater than 7 i.e. 8 and 9. ∴ there is 2 possibility for first place.
For the remaining 3 digits there is 9 possibilities (including 1 which would left after choosing 1 from first place )
No of ways for the alarm code beginning with a number greater than 7= 2 P 1 x 9 P 3
<em>Total ways of code with 4 digits= 10 P 4.</em> Hope this helps :)
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