<span>(4,5); r= square root of 12</span>
Answer:
b||c; c||d; b||d
Step-by-step explanation:
Substituting 10 for x, in the angle beside b we have
7(10)-5 = 70-5 = 65
In the angle beside c we have
10(10)+15 = 100+15 = 115
In the angle beside d we have
12(10)-5 = 120-5 = 115
In the angle beside we have
8(10)-25 = 80-25 = 55
The angle beside c has a vertical angle on the other side of c. This angle would be same-side interior angles with the angle beside b; this is because they are inside the block of lines made by b and c and on the same side of a, the transversal. These two angles are supplementary; this is because 65+115 = 180. Since these angles are supplementary, this means that b||c.
The angle beside c and the angle beside d would be alternate interior angles; this is because they are inside the block of lines made by c and d and on opposite sides of the transversal. These two angles are congruent; this means that c||d.
Since b||c and c||d, by the transitive property, b||d.
Answer:
The explicit formula is a
= 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a
= first term; a = a
+ d is a = a + (n - 1)d, where
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a = -1 and a = a - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a = -1 + (n - 1)(-6)
∴ a = -1 + (-6)(n) - (-6)(1)
∴ a = -1 + -6n - (-6)
∴ a = -1 - 6n + 6
→ Add the like term
∴ a = 5 - 6n
∴ The explicit formula is a = 5 - 6n
Answer:
74.948
Step-by-step explanation:
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