The value of x in the trapezoid is 11.
<h3>Properties of an isosceles trapezoid</h3>
- The base angles are the same
- The sum of opposite angles is 180° or supplementary.
- The diagonals are the same in length.
Therefore, the angle 9x and 7x + 4 are supplementary.
Hence,
9x + 7x + 4 = 180
16x + 4 = 180
16x = 180 - 4
16x = 176
x = 176 / 16
x = 11
learn more on trapezoid here: brainly.com/question/18651035
#SPJ1
Answer:
where is that at i go to lowndes
Step-by-step explanation:
The entire range of independent variable values is the domain of a function.
After substituting the domain, the range of just a function is the entire set of all possible values for the dependent variable (often y).
What is domain and range?
- The collection of all x-values that can cause the function to "work" and produce actual y-values is known as the domain.
- The range is the set of y-values that are produced when all the conceivable x-values are substituted.
The entire range of independent variable values is the domain of a function.
Keep these things in mind when locating the domain:
- A fraction's denominator (bottom) cannot be 0.
- In this section, the integer following a square root symbol must be positive.
After substituting the domain, the range of just a function is the entire set of all possible values for the dependent variable (often y).
The variety of potential y-values makes up a function's range (minimum y-value to maximum y-value)
- To observe what happens, substitute several x-values into the expression for y.
- Be sure to search for the least and highest y values.
Learn more about Domain and Range here:
brainly.com/question/10197594
#SPJ9
Answer:
Step-by-step explanation:
The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a) Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b) The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.
