Answer:
The two numbers are x = 8 and y = 5
Step-by-step explanation:
Let the two numbers be x and y
The difference of two numbers is 3 is represented as:
x - y = 3------------------Equation 1
Their sum is 13 is represented as:
x + y = 13----------------Equation 2
x - y = 3------------------Equation 1
Using method of Elimination by subtracting Equation 1 from Equation 2
x-x + y-(-y) = 13 - 3
2y = 10
y = 10/2
y = 5
Substituting y = 5 in Equation 2
x + 5 = 13
x = 13 - 5
x = 8
∴ The two numbers are x = 8 and y = 5
Answer: 12
Step-by-step explanation:
Let w = the width of the rectangle
Let 2w = the length
P = 2l + 2w
36 = 2(2w) + 2w
36 = 4w + 2w
36 = 6w
w = 6
l = 2(6)
l = 12
I am going to make what is hopefully not an incorrect assumption and say that since the segmentXSZ is black and the other lines are blue, that XS is congruent to ZS. If that be the case we have a side in each triangle that is congruent to each other and an angle that is marked as congruent. Angles XSW and ZSY are vertical angles. By definition, vertical angles are congruent. In each triangle, then, we have an angle, a side and an angle which gives us the congruency postulate ASA.
Only
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In this item, it is assumed that since the pattern is cut out of the paper which is usually a rectangle then, the shape of the pattern is also rectangle. The perimeter of the rectangle is,
P = 2L + 2W
The area is equal to,
Area = L x W
If we assume that length and width are equal, in order to maximize the space.
1600 cm² = L x L
The value of L from the equation is 40 cm.
