Well the best way is to plug into the slope equation
Where (x1, y1) and (x2,y2) are ordered pairs on the xy plane.
So QRS equals to 158 degrees. Therefore, you need to do 8x+8+2x=158. This is so then you can find x. In order to find x, you'll need to combine the 2x and 8x(10x+2=158). Then subtract 2 from both sides(10x=156). Finally divide by 10(x=15.6). In order to find TRS, multiply 15.6 by 2 to get the angle measure. If you want to find QRT, plug 15.6 into the equation(multiply 8 and 15.6 and add 8=132.8)
Answer: 416
Step-by-step explanation:
The area of a trapezoid is h(a+b)/2. So 16(14+38)/2 = 416
Answer:
Step-by-step explanation:
Assuming we are doing an arithmetic sequence
It depends on where you start
If the first term is a₁ and the term number is n
each subsequent term is
aₙ = a₁ + 4(n - 1)
a₁₀ = a₁ + 4(10 - 1) = a₁ + 36
a₅₃ = a₁ + 4(53 - 1) = a₁ + 208
a₂₀₀ = a₁ + 4(200 - 1) = a₁ + 796
Answer:
The expression that represents the given sequence is 5+6(n-1). Option C (not labeled).
Explanation:
<u>Arithmetic Sequences</u>
In an arithmetic sequence, each term can be obtained by adding or subtracting a fixed number to the previous term. That fixed number is called the common difference.
We are given the following sequence:
5, 11, 17, 23, 29, ...
Each term is located in a position starting from n=1. Let's test each option:
A For n=1 we should have the first term (5). Substituting n=1 into the general equation: 5+6(n+1) = 5+6(1+1) = 5+12 = 17. Since the resulting term is not 5, this option is incorrect.
B For n=1, 6+5(n+1)= 6+5(2)=16. This option is incorrect.
C (not labeled) For n=1, 5+6(n-1)=5+6(1-1)=5+0=5. The first term is correct. Let's test for the second term (n=2):
5+6(2-1)=5+6=11. Correct. For n=3
5+6(3-1)=5+12=17. Correct.
We can see the terms are increasing by 6, and the given sequence is also increasing by 6. Thus, This option is correct.
D For n=1, 6+5 (n-1)=6+0=6. This option is incorrect.
