First divided 140 by 100 to find out how much 1 percent is
140 ÷ 100 = 1.4
multiply 1.4 by 45 to find 45 %; 1.4 x 45 = 63
then add 63, which is 45%, to 140, which is 100%, and you get 203, which is 140 + 45%, or 145%
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Answer:
C. 5
Step-by-step explanation:
Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:
distance formula:
d = √(x2 - x1)^2 + (y2 - y1)^2
d = √(2 - 2)^2 + (-1 - 4)^2
d = √(0)^2 + (-5)^2
d = √0 + 25
d = √25
d = 5
Answer:
7) a = 60; b = 100
8) c = 20
9) d = 45
Step-by-step explanation:
7)
a + 120 = 180
a = 60
b + 80 = 180
b = 100
8)
5c + 4c = 180
9c = 180
c = 20
9)
3d + d = 180
4d = 180
d = 45
We have that
sin ∅=-0.7660
the sin ∅ is negative
so
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428
tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917
the answer is
tan ∅ is 1.1917
