Answer:
The measure of the angles are 112 degrees and 68 degrees.
Step-by-step explanation:
Two angles are supplementary if they add up to 180 degrees.
The first angle is 8x degrees.
The second angle is (4x+12) degrees.
Therefore:
8x+4x+12=180 degrees
12x+12=180
12x=180-12
12x=168
Divide both sides by 12
x=14 degrees
Substituting x in the given angles:
8x =8*14=112 degrees
4x+12=4(14)+12=68 degrees
Therefore, the measure of the angles are <u>112 degrees and 68 degrees.</u>
Answer:
Step-by-step explanation:
its A
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
which simplifies to
and a bit more to
(which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
so
The correct answer is 720. Just turned it in and got a 100. Good luck and hoped this help ya.
The largest exterior angle would be the one with the smallest interior angle, which is 35. The sum of exterior and interior angles is always 180 so to find the exterior angle, 180-35= 145 degrees