Answer:
A. 12 and 43
Step-by-step explanation:
Pythagorean theorem is given as =
Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.
In the figure given, the side of the largest square = the hypotenuse of the triangle = c
While the side of the other squares = a and b respectively, of the triangle.
Area of square = s², where s is the side length of the square.
Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.
The side length of the largest square = √55 ≈ 7.4 = c
Therefore, to determine the area of the other squares, check the options given if they add up to give 55.
Option A: 12 + 43 = 55
Option B: 14 + 40 = 54
Option C : 16 + 37 = 53.
The correct possible areas of the smaller squares would be A. 12 and 43.
Answer:
I will assume that "first number is 6 less than 4 times a number" is meant to say something like "first number is 6 less than 4 times <u>the middle</u> number." As written, it offers no information. "first number is 6 less than 4 times a number" could be almost anything. If this can be clarified, consider the following process for solving the question.
Step-by-step explanation:
Three consecutive numbers: X, Y, and Z
We can rewite this as:
X = X
Y = X+1
Z = X+2
1) X = 4[?????] - 6 [Need some clarification about the "number"]
2) Z = 3X + 7 [Substitute the value for Z from above]
X+2 = 3X+7
2X = -5
And so on.
Answer:
I think it is C
Step-by-step explanation:
Answer:
824.5
Step-by-step explanation:
BD is half the length of AD ( 18 is half of 36)
BE would be half of EC
EC = 42, so BE would be 42/2 = 21
a = 21