Answer:
109
Step-by-step explanation:
You can brute-force this:
Candidate numbers that are divisable by 13 if you take away 5: 18
, 31
, 44
, 57
, 70
, 83
, 96
, <u>109
</u>, 122
, 135
, 148
Candidate numbers that are divisable by 14 if you take away 11: 25
, 39
, 53
, 67
, 81
, 95
, <u>109
</u>, 123
, 137
Only 109 is in both lists.
Answer:
<em>x = 49°</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of the internal angles in any triangle adds up to 180°.
The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.
The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:
43° + 39° + 2x = 180°
Operating:
82° + 2x = 180°
Subtracting 82°:
2x = 180° - 82° = 98°
x = 98°/2 = 49°
x = 49°
Where are the variables for the equation?