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Lerok [7]
3 years ago
10

Parallel lines s and t are cut by a transversal, r, as shown.

Mathematics
2 answers:
Vadim26 [7]3 years ago
5 0

Answer:

x=18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle 1

we know that

m\angle 1=94^o ----> by corresponding angles

step 2

Find the value of x

we know that

m\angle 1+(5x-4)^o=180^o ----> by linear pair (supplementary angles)

we have

m\angle 1=94^o

substitute

94^o+(5x-4)^o=180^o

solve for x

5x+90=180\\5x=90\\x=18

zmey [24]3 years ago
5 0

Answer:

x=18

Step-by-step explanation:

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Please Help!
Flura [38]
Let x be the length of the train.

On the basis of the observer;
Speed of the train = x/6

On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20

Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.

Therefore,
Length of train = 150 m
Speed of train = 25 m/s
8 0
4 years ago
Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
seraphim [82]

Answer:

18 cups of lemonade

Step-by-step explanation:

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Given trapezoid LMNO, P is the midpoint of leg LO, Q is the midpoint of leg MN.
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Answer:

Yes

Step-by-step explanation:

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