Answer:
17
Step-by-step explanation:
First, we notice that the triangle is isosceles . (In case you didn't know, the two tick marks on the sides of the triangle signify that they are congruent and have the same length.) Since the triangle is isosceles, we can apply the Base Angles Theorem.
The Base Angle Theorem states that the two angles opposite of the two congruent sides are also congruent. In this case, we can say that, because the angle measuring 29° and the third(top) angle are opposite to the two congruent sides, those two angles are congruent. Therefore, the third angle measures 29° as well.
Now that we know this, we can write the following equation:
29°+29°+(11x-65)° = 180.
Solving this equation, we have x = 17.
Hope this helps!
Answer:
2.57
Step-by-step explanation:
The common ratio of this sequence is ...
(1/3)/(3/15) = (1/3)/(1/5) = 5/3
Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...
(1/3)·(5/3)^4 = 625/243 ≈ 2.57
_____
The generic n-th term (an) is ...
an = a1·r^(n-1)
where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:
a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57
Answer:
|-8|=8
Step-by-step explanation:
