Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
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The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.
So Angle GEN and FED are vertical angles, which means that their angles are congruent. Therefore, Angle FED is 60°
Angle GEN and DEN are a linear pair, which means that they are supplementary angles (add up to 180). To find Angle DEN, we have to form the equation: 60 + DEN = 180
For this, all you have to do is subtract 60 on both sides, and your answer will be: DEN = 120°
Answer:
13
Step-by-step explanation:
2(5) = 10, +3 = 13 years old,, just use order of operations and plug in jillians age for the x
They would be alternate exterior so they would have to to be equal
2k + 11 = 131
-11 -11
2k = 120
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2k 2k
k = 60