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zhenek [66]
3 years ago
15

AC DF and YZ are straight lines and all angles are in degrees.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

Detail in steps

Step-by-step explanation:

∠ABY + ∠YBC = 180

(x + 25) + (2x + 50) = 180

3x + 75 = 180

3x = 105

x = 35

m∠YBC = 2 x 35 + 50 = 120

m∠BEF = 5 x 35 - 55 = 120

m∠YBC ≅ m∠BEF

∴ AC // DF

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First picture)
I: 5x+2y=-4
II: -3x+2y=12

add I+(-1*II):
5x+2y-(-3x+2y)=-4-12
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insert x=-2 into I:
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question 6)
I: totalcost=115=3*childs+5*adults
II: 33=adults+childs
33-adults=childs

insert childs into I:
115=3*(33-adults)+5*adults
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insert adults into II:
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25=childs

so it's the last option

question 7)
a) y<6 and y>2 can also be written as 2<y<6, so solution 3 exist for example
b) y>6 and y>2 can also be written as 2<6<y, so solution 7 exist for example
c) y<6 and y<2 inverse of b: y<2<6, so for example 1
d) y>6 and y<2: y<2<6<y, this is impossible as y can be only either bigger or smaller than 2 or 6

so it's the last option

question 8)
I: x+y=12
II: x-y=6

subtract: I-II:
x+y-(x-y)=12-6
2y=6
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insert y into I:
x+3=12
x=9

(9,3)

question 9)
I: x+y=6
II: x=y+5

if you take the x=y+5 definition of II and substitute it into I:
(y+5)+y=6

which is the second option :)
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2 years ago
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Answer:

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Step-by-step explanation:

7 0
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