Let's say the width is (x) and the width is (x+12). The formula for a perimeter of a rectangle equals 2w + 2l, which would then for this problem be 100=2(x) + 2(x+12) which would distribute as 2x + 2x + 12 which equals 4x+12. When you subtract twelve from 100 you get 88=4x. Divide 88 by 4 and you get x=22. This then would mean the width is 22 and the length is 34. The formula for an area of a rectangle is w*l. Plug in the numbers that you figure out from the area formula and you get 22x34=748
Step-by-step explanation:
the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).
the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.
a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.
so,
c = 180 - 35 = 145°
a = c = 145°
b = 35°
d = 180 - 110 = 70°
e = d = 70°
f = 110°
g = 180 - 125 = 55°
i = g = 55°
h = 125°
j = 180 - 130 = 50°
m = j = 50°
o = k = d = e = 70° (as this line crosses 2 levels)
l = f = 110°
n = 180 - m - o = 180 - 50 - 70 = 60°
s = 180 - 23 = 157°
p = 23°
r = 68°
q = 180 - p - r = 180 - 23 - 68 = 89°
t = 180 - 68 = 112°
v = w = z = 132° (as this line crosses 2 levels)
A = 180 - 132 = 48°
y = x = u = A = 48°
B = 180 - 39 - 47 = 94°
D = B = 94°
C = 39 + 47 = 86°
E = 47°
F = B + 39 = 94 + 39 = 133°
Based on the intersecting secants theorem, the value of x is: B. 30.9°
<h3>What is the Intersecting Secants Theorem?</h3>
The intersecting secants theorem states that when two secants intersect, the measure of the angle they form is half the difference of the intercepted arcs.
Thus, based on the intersecting secants theorem, we would have the following:
x = 1/2(138 - 76.2)
x = 1/2(61.8)
x = 30.9°
Learn more about intersecting secants theorem on:
brainly.com/question/1626547
