Answer:
67
Step-by-step explanation:
Subsitute both given values into the equation then continue to simplify the equation
3(4(-2)+5(3)) -2(7(-2)-3(3))
3(-8+15) -2(-14-9)
3(7) -2(-23)
21 +46
67
Let x be the first integer, then
:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
:
6x + 15 = 519
:
6x = 504
:
x = 84
:
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Our sequence is
:
84, 85, 86, 87, 88, 89
:
The third integer is 86
This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10
7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640
Answer:
Angles W, Z, M, P are 111°
Angles Y, X, O, N are 69°
Answer:
The answer is B. 12 cm
Step-by-step explanation:
ABC is a right triangle
AB and BC are the legs and AC is the hypotenuse.
The Pythagorean theorem a^2 + b^2 = c^2 can be manipulated to solve for a and get 12.
