Answer:
40
Step-by-step explanation:
Going from left to right
We need to find the angle from the first triangle
The sum of the angles of a triangle is 180
80+25+x = 180
Combine like terms
105+ x = 180
Subtract 105 from each side
105-105+x = 180-105
x = 75
Then we have 3 angles that make a straight line and a straight line is 180
x + 50 + y = 180
75+ 50 + y = 180
Combine like terms
125 + y = 180
Subtract 125 from each side
125-125+y = 180-125
y = 55
We now have the triangle on the right
The angles add to 180
55+85+ ? = 180
Combine like terms
140+ ? = 180
Subtract 140 from each side
140+? - 140 = 180-140
? = 40
In total there are 534 spaces, but 476 are occupied.
Occupied spots cannot be parked in.
The answer is 534 - 476, which equals 58 available spots.
Answer:x=6
Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .
-18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3
x2 - 6x - 3x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
3 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-6)
Which is the desired factorization
54 - 18n
Multiply -9 by -6 to get 54.
Multiply -9 by 2n to get 18n.
Answer:
c. 3a^2b^11/2
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
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