Since the sum of the angles of a triangle is 180 degrees, we simply have to add all the angles and equate it to 180 to solve for x. So:
100 + 12x + 4 + 14x - 2 = 180
26x = 78
x = 3
So, x is equal to 3.
Step-by-step explanation:
it will be 14 times 2 which will be 28 length and 74 plus 74 which will be 148 for the both side wide.
Area of the composite shape = 292 yd²
Solution:
The shape is splitted into two rectangles.
The reference image of the answer is attached below.
Length of the top rectangle = 21 yd
Width of the top rectangle = 29 yd – 22 yd = 7 yd
Length of the side rectangle = 29 yd
Width of the side rectangle = 26 yd – 21 yd = 5 yd
Area of the figure = Area of the top rectangle + Area of the side rectangle
= (length × width) + (length × width)
= (21 × 7) + (29 × 5)
= 147 + 145
= 292
Area of the composite shape = 292 yd²
Answer:
95%
Step-by-step explanation:
For a given sample data, the width of the confidence interval would vary directly with the confidence level i.e. more the confidence level, wider will be the confidence interval.
This is because the critical value associated with the confidence level(e.g z value) becomes larger as the confidence level is increased which results in an increased interval.
The confidence interval for a population proportion is given by the formula:
So, for a fixed value of p,q and n, the larger the value of z the wider will be the confidence interval.
Hence 95% confidence interval will be wider than 80% confidence interval.
Answer:
Go 4 to the right and 2 down.