Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
Answer:
The unit price is 4.15 dollars per gallon
Step-by-step explanation:
- Yolanda buys 5.8 gallons of gas for $24.07
- We need to find the unit price in dollars per gallon
- Unit price means the price of each gallon
∵ The number of gallons = 5.8 gallons
∵ The price of the gallons = $24.07
∵ The unit price = the amount of money ÷ number of gallons
∴ The unit price = 24.07 ÷ 5.8
∴ The unit price = 4.15 dollars per gallon
* <em>The unit price is 4.15 dollars per gallon</em>
The data set is
20
32, 34, 36
40, 42, 44, 48
55
65
We can see that each value only shows up one time. Therefore there is no mode. To have a mode, we need to have a value show up more than once, and it must be the most frequent value. For example, the set {1,2,3,3,4} has a mode of 3 since it shows up twice, the most of any value in that set. However we don't have that occur for the data set your teacher gave you.
<h3>Final Answer: There is no mode for this data set</h3>
Answer:
She realised $12 from selling 8 bags of caramel corn
Step-by-step explanation:
Given
(8, 12)
Required
Determine what it means based on the available information
A function is always written as (x,y)
Where x is dependent on y
By comparison,
x = bags of caramel corn = 8
y = amount realised = 12
Assuming the currency is in dollars
Conclusively,
She realised $12 from selling 8 bags of caramel corn.
Answer: 
Step-by-step explanation:
Factor theorem : If x=a is a zero of a polynomial p(x) then (x-a) is a factor of p(x).
Given: Zeroes of polynomial : -4,0, 1, and 4.
Then Factors = 
[By factor theorem ]
Multiplying these factors to get polynomial in standard form.
Hence, B is the correct option.
