Answer:
62 and 64
Step-by-step explanation:
Let x be the first number
Let y be the 2nd number
Given,
x + 2 = y (Consecutive even numbers)
x - y = -2 (rearranged) - Equation 1
x + y = 126 - Equation 2
Now we can solve for x and y to find the 2 numbers by using substitution method in solving simultaneous equations.
x = y-2 (rearranged equation 1)
Now we substitute equation 1 into equation 2.
y - 2 + y = 126
2y - 2 = 126
2y = 126 + 2
2y = 128
y = 128 / 2
= 64
Now we will substitute y into equation 1.
x - 64 = -2
x = -2 + 64
= 62
Therefore the 2 numbers are 62 and 64.
Answer:
4 feet
Step-by-step explanation:
4/3 times 15 is 20, 4/3 times 3 is 4
Step-by-step explanation:
W = (2L -57)
P = 2×(L+W)
198 = 2× (L + 2L -57)
198 = 2× (3L - 57)
3L-57 = 198/2
3L-57 = 99
3L = 99+57
3L = 156
L = 156/3 = 52
W = 2(52) -57 = 104-57 = 47
so, the length = 52 ft
and the width = 47 ft
Answer:
27 cm
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2 +b^2 =c^2
a and b are the legs and c is the hypotenuse.We know one of the legs is 13 and the hypotenuse is 30
13^2 + b^2 = 30^2
169 + b^2 = 900
Subtract 169 from each side
169-169 +b^2 = 900-169
b^2 = 731
Take the square root of each side
sqrt(b^2) =sqrt(731)
b = 27.03