Answer:
50 being vertically opposite angle
Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
$7.50
Do $60/8 weeks and get 7.5
Answer:
Step-by-step explanation:
2 = −⅓[3] + b
−1
Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so 3 becomes −⅓.
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Solution :-
Given -
The two sides other than hypotenuse = 7 cm and 24 cm
By using Pythagoras Theorem.
(Hypotenuse)² = √(Base)² + (Perpendicular)²
Let the hypotenuse of the given triangle be x cm
⇒ (x)² = √(7)² + (24)²
⇒ √49 + 576
⇒ √625
⇒ 25
So, the length of hypotenuse is 24 cm.
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