(x, y) → (- 3, 7)
Using the method of elimination. That is manipulate the equations so that the coefficients of one of the variables are equal then add/subtract to eliminate it and solve for the other variable.
-9x + 4y = 55 → (1)
-11x + 7y = 82 → (2)
eliminating the terms in x
multiply equation (1) by 11
-99x+ 44y = 605 → (3)
multiply equation (2) by (- 9)
99x - 63y = - 738 → (4)
add (3) and (4) to eliminate x
- 19y = - 133
divide both sides by (- 19)
y = = 7
substitute y = 7 into (1)
- 9x + 28 = 55
- 9x = 55 - 28 = 27
x = = - 3
solution to system = (- 3, 7)
Answer:
Step-by-step explanation:
In ΔABC, we have
The Converse of the basic proportionality theorem states that if a line divides two sides of a triangle in same ratio then the line must be parallel to the third side.
Now, it is given that , this implies that line segment DE divides AB and AC in the same ratio.
Thus, by converse of basic proportionality theorem
line segment DE= line segment BC.
Therefore, if ,then line segment DE is parallel to line segment BC .
Answer:
The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25
Step-by-step explanation:
In the picture attached the histogram is shown. We can see that data is skewed to the right, so we have to use the five-number summary. The range of the data is 39 - 1 = 38 (subtraction of the maximum value to the minimum value); the median is (15 + 17)/2 = 16 (if you order the values, 15 and 17 are in the middle); quartile 1 is 9.25 and quartile 3 is 25.5 (see diagram of box and whisker attached), then half of the data are between those values.
