Answer:
x = 8
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180°
That being said we can create an equation to solve for x
( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )
180 = 90 + 5x + 5 + 5x + 5
now we solve for x using basic algebra
step 1 combine like terms
90 + 5 + 5 = 100
5x + 5x = 10
now we have 180 = 100 + 10x
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 10x = 80
step 3 divide each side by 10
10x / 10 = x
80 / 10 = 8
we're left with x = 8
Answer:0 = 3x - 21
Step-by-step explanation:
From this given function we can take an
x
common from its expression
i.e
x
2
−
6
x
=
x
(
x
−
6
)
As we know that the product of two numbers is zero,when either one of them is zero
then in the above expression that we just factorised
the function can be zero when either
x
=
0
or when
x
=
6
i.e when
x
=
0
,
0
(
0
−
6
)
=
0
when
x
=
6
,
6
(
6
−
6
)
=
6
(
0
)
Finally, our prize of all that math, the zeroes of the function are
0
and
6
these numbers are called the zeroes of the function because when you put these values in
x
the function gives zero.
b is the correct answer
Step-by-step explanation:
see the step in the picture
A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket
multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'
-12(a + c = 824)
-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
-----------------------------
8a = 3456 divide both sides by 8
a = 432
To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392
adult 432, children 392
