Answer:
22.5 degrees
Step-by-step explanation:
90 = x + 3x
90 = 4x (divide by 4)
22.5 = x
22.5 + 67.5 = 90
Answer:
AY=8, XZ=20
Step-by-step explanation:
WY=WA+AY, plug in values: 14=6+AY, subtract 6 from both sides: 8=AY, AY=8cm
ZA=10cm and WY bisects XZ at A, so XA=ZA and XZ = XA+ZA = 2ZA =2*10 = 20 cm
Answer:
(1, 3)
Step-by-step explanation:
Given the expression
x+y = 4 ... 1
y = 2x+1 ....2
Substitute equation 2 into 1
x + (2x+1) = 4
3x + 1 = 4
3x = 4-1
x = 3/3
x = 1
Since y = 2x + 1
y = 2(1) + 1
y = 3
Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)
Answer:
The width of a rectangle is: w = x+3
Step-by-step explanation:
Given
The length of rectangle = l = 4x
The area of rectangle = A = 4x² + 12x
To determine
The width of rectangle = w = ?
We know that the formula of the area of the rectangle is

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle
4x² + 12x = w×4x
w = [4x² + 12x] / [4x]
Factor 4x² + 12x: 4x(x+3)
w = [ 4x(x+3) ] / [4x]
w = x+3
Therefore, the width of a rectangle is: w = x+3
Answer:
This is a 30-60-90 triangle so you would do this formula:
Short side (opposite the 30 degree angle) = x.
Hypotenuse (opposite the 90 degree angle) = 2x.
Long side (opposite the 60 degree angle) = x√3.
Step-by-step explanation: