Both 8,15,17 and 15,20,25 will form a right triangle
If you need help with these types of problems just go into google and search Pythagorean theory silver and plug in 2/3 side lengths and if the outcome equals the third number, then that means that the side lengths make a right triangle
The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒
⇒ 145 = 5 (2a+9d)
⇒
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒
⇒ 590 = 10 (2a + 19d)
⇒
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d =
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a =
⇒ a = 1
Thus, sum of first four terms is
⇒
⇒
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
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Factorizing an expression involves writing the expression in simpler forms
The values of z are or
The equation is given as:
Expand the equation
Factorize the expression:
Factor out z - 4
Split
or
Solve for z
or
Hence, the values of z are or
Read more about factorization at:
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Answer:
<B = 15
Step-by-step explanation:
A triangle adds up to 180 degrees.
Since these triangles are similar, the sides are located in the same spot. (A is in same spot as D, etc.)
A=75
F=90
75 + 90 + x = 180
165 + x = 180
x = 15
Answer:
1/5 start with A
Step-by-step explanation: 5*5=25 possible combos 5 of which will be starting with A. 5/25 can be simplified to 1/5