<span>Whether it's an isosceles, a scalene, an obtuse or an equilateral triangle proving the type of triangle really has nothing to do with the slope or gradient, so the first two options are out. The essence of calculating is to get the change or derivative. So the first two options are out. An equilateral triangle has all three sides equal. It also has equal congruent sides. Calculating the length using the distance formular or If the perimeter of the triangle is known, calculating one side of the triangle and multiplying by three should tally. If it doesn't then it isn't; but an equilateral triangle should also have equal congruent sides. An isosceles triangle has two congruent side and a scalene has none.</span>
Let x be the cost of each bed sheet and y be the cost of each of the towel. The system of linear equations that best represent the given condition is,
38x + 61y = 791.50
54x + 50y = 923
Solving for x and y in the equation gives, x = 12 and y = 5.5. Thus, one bedsheet costs $12 and each towel costs $5.5.
Answer:
book 25; pen 8
Step-by-step explanation:
If we let b and p represent the cost of a book and a pen, respectively, then the two purchases can be written as ...
7b +4p = 207
5b +5p = 165
Multiply the second equation by 4/5 and subtract the result from the first equation:
(7b +4p) -4/5(5b +5p) = (207) -4/5(165)
3b = 75 . . . . simplify
b = 25 . . . . . divide by 3
Dividing the second equation by 5 gives ...
b + p = 33
Solving for p, we have ...
p = 33 -b = 33 -25 = 8
The cost of an exercise book is 25; the cost of a pen is 8.
Answer: (3x - 12, 3y +6)
Step-by-step explanation:A dilation is a transformation that produces an image that is the same shape as ... The dilation (centered at O with a scale factor of 2) of ΔABC = ΔA'B'C' making ... from O to the vertices of ΔA'B'C' are twice the distances from O to ΔABC. ... Apply the dilation formula when centered at origin: (3(x - 4), 3(y + 2)) = (3x - 12, 3y + 6)
Answer:
Option E.
Step-by-step explanation:
Given information:
Air conditioning = 88
Automatic transmission = 96
power steering = 76
All three = 4
None of these extras = 19
Only air conditioning = 23
Only automatic transmissions = 61
Only power steering = 28
Both automatic transmission and power steering = 11
Place these values and draw a venn diagram as shown below.
Calculation for missing values:
From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.
Therefore, the correct option is E.
