Answer:
x = 8
Step-by-step explanation:
Since < A and < B are vertical angles, then it means that they have the same measure.
Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:
We can set up the following equation to solve for the value of x:
m < A = m < B
(3x - 21)° = (2x - 13)°
3x - 21 = 2x - 13
Subtract 2x from both sides:
3x - 2x - 21 = 2x - 2x - 13
x - 21 = -13
Add 21 to both sides to isolate and solve for the value of x:
x - 21 + 21 = -13 + 21
x = 8
We must verify if we have the correct value for x by plugging in 8 into the equality statement:
(3x - 21)° = (2x - 13)°
[3(8) - 21]° = [2(8) - 13]°
(24 - 21)° = (16 - 13)°
3° = 3° (True statement. This means that we have the correct value for x).
Therefore, the value of x = 8.
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Answer: 46-3i
Step-by-step explanation: Use the FOIL method, (a+b)(c+d)=ac+ad+bc+bd. Collect like terms then simplify.
(6+7i)(3−4i)
18−24i+21i+28
(18+28)+(−24i+21i)
46-3i
- Hope this helps, have a blessed and wonderful day! :-)
Answer:
C
Step-by-step explanation:
there are six spots, which the arrow will land on only one, making it 1/6