Answer: 1.23×10¹⁶
Step-by-step explanation:
For this problem, we want to use order of operations to solve.
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Let's first solve the parenthesis.
[add denominator]
[cross multiply]
[divide]
[exponent]
1.23×10¹⁶
The ending result is way too large. Therefore, we use scientific notation and get 1.23×10¹⁶.
Part a: The value of x is 33°
Part b: The measure of each base angle is 69°
Explanation:
It is given that the vertex angle of an isosceles triangle measures 42°.
The base angle in the triangle has a measure of
Part a: To determine the value of x
Since, in an isosceles triangle the base angles are always equal.
Thus, the three angles in an isosceles triangle add up to 180°
Hence, we have,
Thus, the value of x is 33°
Part b: To find the measure of each base angle.
Base angle =
Substituting , we get,
Thus, the measure of each base angle is 69°
Answer:
= n - 2
Step-by-step explanation:
Note the difference between consecutive terms is constant, that is
0 - (- 1) = 0 + 1 = 1
1 - 0 = 1
2 - 1 = 1
3 - 2 = 1
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 1 and d = 1, thus
= - 1 + n - 1 = n - 2
