<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
If the trapezoid is isosceles, angles A and C are supplementary, so ...
... (4x+4) +(7x+11) = 180
... 11x +15 = 180 . . . . . . collect terms
... 11x = 165 . . . . . . . . . subtract 15
... x = 15 . . . . . . . . . . . . divide by the coefficient of x
And angles C and E are congruent.
... 4·15 +4 = 21y +1
... 63 = 21y . . . . . subtract 1
... 3 = y . . . . . . . . divide by the coefficient of y
109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.
<h3>Find the required expression:</h3>
- Algebraic expression is made up of numbers, operations and variables.
- Algebraic expression is true for all values of x.
- For example, 2x, 5x + 9 etc.
Given that,
A parent made x cupcakes for each of the 109 students in the fourth grade.
The total number of students in the class = 109
The number of cupcakes one student gets = 1 × x = x
⇒ The number of cupcakes 109 student gets = 109 × x = 109x
Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.
Learn more about algebraic expression here:
brainly.com/question/953809
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To find the percentage, you divide the new price ($39.90) by the original price ($38), and the multiply it by 100 to change the answer from a decimal to a percentage:
39.90 / 38 x 100 = 105
So 39.90 is 105% of 38
To get our final answer, subtract this by 100%
105 - 100 = 5%
ANSWER: So the percentage increase of the price is 5% ($1.90)
|2x + y - 3z|
Plug in the values
|-4 + 10 - 9|
= |-3|
= 3