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shutvik [7]
3 years ago
5

Find the value of x in each case. Give reasons to justify your solutions! XW ∥ YZ

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

The answer is "19".

Step-by-step explanation:

In this question, the graph file is missing which is defined in the attached file please find it.

When YZ and XW were identical,  

\angle XWY =\angle WYZ \ \  \text{(Alternate Angles)}

\angle XWY = 2x

Because the angles are all 180 degrees in either a triangle:

\to (3x - 5) + 90 + 2x = 180\\\\\to 3x - 5 + 90 + 2x = 180\\\\ \to 5 x + 85= 180 \\\\ \to 5 x = 180-85 \\\\ \to 5x = 95 \\\\ \to x= \frac{95}{5} \\\\ \to x = 19

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Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each tac
Diano4ka-milaya [45]

Answer:

Kayla bought 7 tacos and 10 hotdogs

Step-by-step explanation:

Let the number of hotdogs be x.

Let the number of tacos be y.

i) It is given that x = y + 3

ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126

iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126

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 therefore 15y = 105

  therefore y = 7

  Therfore Kayla bought 7 tacos

iv) Using the value of y from iii) in i) we x = 7 + 3 = 10

  Therefore Kayla bought 10 hotdogs

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2 years ago
I need help answering this question...
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Step-by-step explanation:

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