Answer:
x = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
72 + 6x + 2 + 17x - 9 = 180
23x + 65 = 180 ( subtract 65 from both sides )
23x = 115 ( divide both sides by 23 )
x = 5
The area of the square will be 640 sq cm.
Step-by-step explanation:
Given,
Number of strip = 4
Length (l) of each strip = 40 cm
Width (b) of each strip = 4 cm
To find the area of the inner square.
Formula
The area of rectangle = l×b
If the area of a square is A, each side will be √A
Now,
Area of each strip = 40×4 sq cm = 160 sq cm
Area of 4 strips = 160×4 sq cm = 640 sq cm
Hence,
The area of the square will be 640 sq cm.
Answer is 12.73
Use Pythagorean theory
Split square into two right triangles with diagonal line. To find the diagonal
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
162= c^2
Take square root of both sides
12.73 = c
Answer:
x = -5
, y = 0
Step-by-step explanation:
Solve the following system:
{4 x + 7 y = -20 | (equation 1)
2 x - 5 y = -10 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 7 y = -20 | (equation 1)
0 x - (17 y)/2 = 0 | (equation 2)
Multiply equation 2 by 2/17:
{4 x + 7 y = -20 | (equation 1)
0 x - y = 0 | (equation 2)
Multiply equation 2 by -1:
{4 x + 7 y = -20 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{4 x+0 y = -20 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -5 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -5
, y = 0
The answer is C (-1,-4)
I got the answer by graphing the equation and plotting each the points down to see which one lies on the graph