The equation for the leg length, y is y = (P - 2x - 4)/2
The length of the leg "y" is 3 feet
a) Given the perimeter of the trapezoid expressed as:
P=2x + 2y + 4.
We are to make <em>y the subject of the formula </em>as shown:
P = 2(x+y) + 4
P - 2x = 2y + 4
P - 2x - 4 = 2y
Swap
2y = P - 2x - 4
y = (P - 2x - 4)/2
Hence the equation for the leg length, y is y = (P - 2x - 4)/2
b) Give that P = 26 feet and x = 8feet
y = (P - 2x - 4)/2
y = (26 - 2(8) - 4)/2
P = 26-20/2
P = 6/2
y = 3 feet
This shows that the length of the leg "y" is 3 feet
Learn more here: brainly.com/question/18370541
Answer:
B. 1,2,3,4,6,12
Step-by-step explanation:
Factors of 24: <u>1</u>, 24, <u>2</u>, <u>12</u>, <u>3</u>, 8, <u>4</u>, <u>6</u>
Factors of 30: 1, 36, 2, 18, 3, 12, 4, 9, 6,
Answer:
I'm sure there might be a typo in the question (AKA the slope is -5/2)
but the answer would be
D
Step-by-step explanation:
y= mx+ b
where m is the slope, and b is the y intercept
y= -52x -2
..........
5x + 2y = –4
2y= -5x -4
y= - 5/2x -2
Answer:
The first three terms are -30, -27 and -24
Step-by-step explanation:
The formula for nth term of a arithmetic series is given by:
aₙ = a₁ + (n - 1)d
Substitute n = 16 in the given equation:
a₁₆ = a₁ + (16 - 1)d
Where aₙ = a₁₆ = 15. Substitute in the given equation
15 = a₁ + 15d ⇒ Equation (i)
Sum of arithmetic sequence is given by:
Sₙ = n(a₁ + aₙ) / 2
Substitute n = 16 in the above equation:
S₁₆ = 16(a₁ + a₁₆) / 2
Where S₁₆= -120 and a₁₆=15, substitute:
-120 = 16(a₁ + 15)/2
-240 = 16(a₁ +15)
-15 = a₁ + 15
a₁ = -30
Substitute it in Equation (i)
15 = a₁ + 15d
15 = -30 + 15d
15d = 15+30
d = 45/15
d = 3
So
a₁ = -30
a₂ = a₁ + (2-1)d
a₂ = -30 + 3
a₂ = -27
a₃ = a₁ + (3-1)d
a₃ = a₁ + 2d
a₃ = -30 + 2(3)
a₃ = -30 +6
a₃ = -24
Answer:
d=125-degree since p and q are parallel
b=d=125-degree since b and d are vertically opposite angles
a+d= 180-degree since they lie in straight line
Hence, a=180-125=55-degree
c=a=55-degree since a and c are vertically opposite angle
f=a=55-degree since a and f are alternate angle
e=f=55-degree since e and f are vertically opposite angle
