Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = 
= 5
Hence the value of X = 5 unit Answer
Answer:
See below.
Step-by-step explanation:
Alexi originally has $43 in his bank account and deposits $7 per week.
Week 1: $50
Week 2: $57
Week 3: $64
Week 4: $71
Week 5: $78
The pattern is that it increased $7 every week starting from $43.
A pattern rule would be: y = 7x + 43 where x represents the number of weeks.
5x+40 factors to 5(x+8). Notice how distributing the 5 back through to each term in the parenthesis gives
5 times x = 5x
5 times 8 = 40
So 5*(x+8) = 5*x+5*8 = 5x+40
Therefore, the factors are 5 and (x+8).
The dimensions of the sandbox are 5 feet by (x+8) feet.
We don't know the numeric value of (x+8) since we don't know the value of x, so we leave it as is.
First you need to find the amount of money the discount decreased.
10(0.2)=2
Then, in order to find the sale price you need to subtract the discount price from the original price of the burger.
10-2=8
Answer: $8
The table containing the data needed for this problem is attached on this answer. This data is used to determine the best fit line that is extracted from this multitude of points given. Best fit line is described as a line in which the variation of each point to the line is the minimum. We plot the data using MS Excel and is shown in the figure attached as well. We determine the trendline of the graph by the function in MS Excel. The equation of the trendline is expressed as <span>y = -26.059x + 722.63 in which the coefficient of determination, r^2 = 0.8947. </span>
