Answer:
X=90
Step-by-step explanation:
x=90 because it is a right angle.
hope that helps!
Angle 2=3, so angle 1=4 because angles ABC & BCD equal 90°. When you add together the angles of a triangle you get 180 and if you could put angle 1 and 4 together it would look like an upward version.
That is the best way I could describe it. Hope that helps.
Answer:
The speed of the boat in still water = 8 Km/hr
Step-by-step explanation:
Let the speed of the boat be x
According to question
(x-4)15 = (x+4)5
3x-12 = x+4
⇒x = 8 km/hr
Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.
<h3>What number of seats does the theatre have?</h3>
The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.
The total number of seats in the theatre are:
= Number of seats on balcony / Proportion of seats this represents
Solving gives:
= 120 ÷ 1/5
= 120 ÷ 0.2
= 600 seats
Find out more on ratios and proportions at brainly.com/question/11041750.
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Your statemtent is incomplete.
I found the samestatment with the complete words: <span>Simplify
completely quantity x squared minus 3 x minus 54 over quantity x
squared minus 18 x plus 81 times quantity x squared plus 12 x plus </span>36 over x plus 6
Given that your goal is to learn an be able to solve any similar problem, I can teach you assuming that what I found is exactly what you need.
x^2 - 3x - 54 x^2 + 12x + 36
------------------ x ---------------------
x^2 - 18x + 81 x + 6
factor x^2 - 3x - 54 => (x - 9)(x + 6)
factor x^2 - 18x + 81 => (x - 9)^2
factor x^2 + 12x + 36 = (x + 6)^2
Now replace the polynomials with the factors=>
(x - 9) (x + 6) (x + 6)^2 (x + 6)^2 x^2 + 12x + 36
------------------------------ = --------------- = --------------------
(x - 9)^2 (x + 6) (x - 9) x - 9
