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Ganezh [65]
3 years ago
9

10.

Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer:

Part 1) The value of y is y=0.8  

Part 2) The value of z is z=0.9

Part 3) The value of x is x=0.5

Step-by-step explanation:

step 1

Find the value of y

we know that

(\frac{225y}{2})\°=90\° ----> given problem (is a right angle)

y=90(2)/225

y=0.8

step 2

Find the value of z

we know that

(50z+13)\°=(80z-14)\° ----> by vertical angles

Solve for z

80z-50z=13+14

30z=27

z=27/30

z=0.9

step 3

Find the value of x

we know that

(44x+125y)\°+(80z-14)\°=180\° ----> by supplementary angles (linear pair)

Substitute the value of y and the value of z and solve for x

(44x+125(0.8))\°+(80(0.9)-14)\°=180\°

(44x+100)\°+(72-14)\°=180\°

44x+158=180

44x=180-158

44x=22

x=0.5

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Step-by-step explanation:

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B + P = $14 } Equation 1  

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Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

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$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

<h2><em>Spymore</em></h2>
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Step-by-step explanation:

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