Answer:
Measure of CD = 17 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the given rectangle = 2(length + width)
= 2[(x + 3) + (2x - 1)]
= 2(3x + 2) units
Perimeter of triangle EFG = EF + FG + GE
= (x - 7) + (4x - 8) + (3x + 1)
= (8x - 14)
= 2(4x - 7) units
Since, perimeters of both the figures are equal,
2(3x + 2) = 2(4x - 7)
3x + 2 = 4x - 7
4x - 3x = 7 + 2
x = 9
Measure of CD = (2x - 1)
= 2(9) - 1
= 17 units
Answer:
X = -2
y = 2
Step-by-step explanation:
Substitute y=x + 4 in the second equation to find x
x+4 = 2x + 6
subtract x from both sides
4 = x + 6
subtract 6 from both sides
-2 = x
put -2 in for x in the first equation
y= 2
First you find how much weight it lost
500 - 350 = 150
Then, to find the mean change you divide the weight lost by the number of months
150 : 6 = 25
25 is the monthly change
Answer:
An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273?279) ?Arthroscopic meniscal repair with an absorbable screw: results and surgical technique? showed that only 25 out of 37 tears (67.6%) located between 3 and 6 mm from the meniscus rim were healed.
(a) Calculate a 95% two-sided confidence interval on the proportion of such tears that will heal. Round the answers to 3 decimal places.
Step-by-step explanation: