Answer:
If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75
so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25x=12
Step-by-step explanation:
<em>Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.</em>
<em>So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.</em>
<em>The solution would still clear your concept though.</em>
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
c(x) = 18x -10
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation

where m is the slope and b is the y-intercept
so
c(x) = 18x - 10
comparing with the slope-intercept form of the line equation
- c(x) or y represents the cost
- 'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $530
In order to determine the value of x, set c(x) = 530
i.e.
530 = 18x -10
switch sides
18x - 10 = 530
add 10 to both sides
18x - 10 + 10 = 530 + 10
18x = 540
Divide 18 to both sides
18x/18 = 540/18
x = 30
Therefore, if you can buy x = 30 tickets if you pay 530 dollars.
Answer:
20/21
Step-by-step explanation:
(-8x)+x+(-2x)
-7x+(-2x)
-9x

Shift of 2 units right and 5 units down