Answer:
Step-by-step explanation:
Triangle MRN is created by folding an equilateral triangle by half. Since triangle MRN is right triangle, the equilateral triangle must be folded along the height drawn to one side.
In equilateral triangle with side length of a units, the height is and the height is greater than half the side because
The leg with length x units has the smaller projection (2 units long) than the leg with length y units has (6 units long).
This means the leg with length y units is the height of the equilateral triangle. If the leg with length y units is the height of the equilateral triangle, then the hypotenuse MN = 8 units is the side of the equilateral triangle and lex with length x units is half the side, so x = 4 units.
By the Pythagorean theorem,
Answer:
The answer is "".
Step-by-step explanation:
In the given statement the graph is missing. So, the correct solution to this question can be described as follows:
Given
graph point:
Line points:
The Formula of slope:
Assuming point: (x,y)
Graph point: (2,25)
M= 4
Equation:
Here the sets are overlapping. Overlapping sets are those which contain at least one element common.
The four sets of coffee, tea, chocolate and cocoa users all are overlapping containing one or more elements of the other.
The missing set numbers have been marked as a, b, c, d in the diagram.
The data in the question tells that
60 take coffee,
30 take coffee only
2 take tea, coffee and Chocolate,
whereas 12 take tea and coffee
17 take tea only,
2 take tea, coffee and Chocolate,
3 take chocolate, tea and cocoa,
whereas 12 take tea and coffee
36 take tea,
9 take tea and chocolate
47 take chocolate only
7 take chocolate and cocoa
3 take chocolate, tea and cocoa,
2 take tea, coffee and Chocolate,
9 take tea and chocolate
20 take cocoa only
27 take cocoa
3 take chocolate, tea and cocoa,
7 take chocolate and cocoa
Total tea takers= T= { 17+12+9+2+3+a+b}= {43+a+b}
Total coffee takers= C= {30+12+2+a+b+c+d}= {44+a+b+c+d}
Total Chocolate users= Ch= {47+9+3+2+7+b+c} = {68+b+c}
Total Cocoa users= Co= { 20+7+3+a+b+c+d}= {30+a+b+c+d}
C∩ Co= {d}
C∩ T= {12}
T ∩ Ch= {9}
Ch∩ Co= {7}
This can be shown by the Venn diagram as follows.
Answer: x1 = 251/26, x2 = -111/26
Step-by-step explanation:
Hi!
As you can see in the figure, the point you are looking for is the intersection of two lines.
The intersection point is found solving this system of linear equations (the point must satisfy both equations):
You can solve it, for example, by the method of substitution:
Then plug x1 into equation 2, and solve for x2:
Then you use the value of x2 to get x1:
