Angle in a semi circle is 90°
<a = 180-90-<b = 90-28 = 62°
opposite angles of a cyclic quadrilateral sums up to 180°
<b + <a = 180
<b = 180-62
<b = 118°
Answer:
See below.
Step-by-step explanation:
The Slope of PQ is (v - z) / (w - x).
The slope of P'Q' =
(v + b) - (z + b)
--------------------- = (v - z) / (w - x)
(w + a - (x + a)
Both lines have a slope that is (v - z)/ (w - x).
So both lines are parallel.
Answer:
Step-by-step explanation:
81^x=27^(x+2)
3^4=81 and 3^3=27
3^4x=3^(3(x+2))
exponents are the same so we just take those
4x=3x+6
x=6
The equation y = –2 x + 3 represents the graphed function.
Answer: Option A
<u>Step-by-step explanation:</u>
As per the mapping points in the attached figure, A (0, 3) and B (1, 1)
Step 1: Find the slope of the line.
We know that the formula to calculate the slope between two points is equal to

. So, the slope ‘m’ would be

Step 2: Find the y-intercept
We know that the y-intercept is the value of y when the value of x is equal to zero. In this problem the y-intercept is the point A (0, 3)
Step 3: Find the equation of the line into slope-intercept form
We know that the equation of the line into slope-intercept form is equal to
y = m x + b
We have m = - 2 and b = 3 as b is equal to the y-coordinate of the y-intercept. Substitute these, we get
y = - 2 x + 3
The answer is 25. You would divided 355 by 14 and you would get 25.3571428571 and you would round it to 25 because it is impossible to have 25.3571428571 crates