Answer:
72°
Step-by-step explanation:
180-3x=2x
5x=180
x=36
Angle CBE = 2(36) = 72
 
        
             
        
        
        
If it can be assumed that the total number paper and bags is the same for both orders, then:
#bags ordered in the spring=7*(150/3)=350, so the total of both is 150+350=500. A 5:5 ratio means that the wrapping paper and bags were bout in equal quantities. That means 500/2=250 for each.
 
        
             
        
        
        
Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph. 
 
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
 
The question is incomplete.
The question is:
What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply. 
- The common difference of the sequence is the same as the slope of the graph. 
- The slope of the graph is –4. 
- The next term in the sequence is represented by point (4, 3). 
- f(x) = –4x + 19 represents the sequence. 
- An infinite number of points can be determined to follow this sequence.
The graph is attached to the picture please refer to the graph.
We have an arithmetic sequence:
19, 15, 11, 7,...
The first term is:
a = 19
Common difference d = 15-19 = -4
The nth term:
a(n) = 19 + (n-1)(-4)
a(n) = 19 -4n + 4
a(n) = -4n + 23
We can write above expression as:
f(x) = -4x + 23
Slope of the equation = -4
The correct options are:
- The common difference of the sequence is the same as the slope of the graph. 
- The slope of the graph is –4.
Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph. 
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
 
        
             
        
        
        
Answer: y=1/3x^2-8/3x+10/3
Step-by-step explanation:
 
        
             
        
        
        
Answer:

Step-by-step explanation:
<u>Given:</u>
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
<em>And,</em>
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
<u>To Find</u>:
The Area of Shaded region
<u>Solution:</u>
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

Put their values accordingly:

<u>Simplify it.</u>
<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>


Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

I hope this helps!