Answer:
Circumference ≈ 82.9
Step-by-step explanation:
The formula for calculating the circumference of a circle is:
C = 2πr
Where 3.14 is pi (as stated on your screen)
And r is the radius.
Knowing this substitute those values
C = 2(3.14)(13.2)
Multiply 2 and 3.14.
C = (6.28)(13.2)
Multiply 6.28 and 13.2.
C = 82.9 when rounded.
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
Answer:
The answer to your question is the letter A) x ≥ 0.5
Step-by-step explanation:
Inequality
2(4x - 3) ≥ -3(3x) + 5x
Process
1.- Expand
8x - 6 ≥ - 9x + 5x
2.- Simplify
8x - 6 ≥ - 4x
3.- Add 6 units in both sides
8x - 6 + 6 ≥ -4x + 6
4.- Simplify
8x ≥ -4x + 6
5.- Add 4x in both sides
8x + 4x ≥ -4x + 6 + 4x
6.- Simplify
12x ≥ 6
7.- Divide by 12 both sides
12x/12 ≥ 6/12
8.- Simplify
x ≥ 1/2 or 0.5
Complimentary angles, when added, will equal 90 degrees
so < DFG and < JKL, when added = 90
x + 5 + x - 1 = 90
2x + 4 = 90
2x = 90 - 4
2x = 86
x = 86/2
x = 43
< DFG = x + 5......43 + 5 = 48 degrees <==
< JKL = x - 1........43 - 1 = 42 degrees <==
<span>1. Opposite sides are parallel 2. Corresponding parts of congruent triangles are congruent</span>
