Answer:
x = 
Step-by-step explanation:
The given figure is a trapezium which is a quadrilateral with four sides.
But,
Sum of angles in a quadrilateral = (n - 2) x 180
where n is the number of sides.
For a quadrilateral, n = 4. So that,
Sum of angles in a quadrilateral = (4 - 2) x 180
= 2 x 180
= 
The sum of angles in a quadrilateral is .
Thus,
+ 
+ 
+ 
=
+ 
=
= -
=
The value of x is .
Answer:
x = - 
, x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 3 = 0 ⇒ x = 3
Answer:
True
Step-by-step explanation:
If ∠XZY and ∠PZQ are vertical angles,
then ∠XZY≅∠PZQ
(vertical angles are congruent)
Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
Answer:
hey your really cute thats all
Step-by-step explanation:
;) love you bubs see you someday, now
