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3 years ago

Determine the value of each variable. Enter your answers as decimals. X: Y: Z:

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

8 0

Answer:

Part 1) $x=28.75\°$

Part 2) $z=44.5\°$

Part 3) $y=135.5\°$

Step-by-step explanation:

Part 1) Determine the value of x

we know that

$(\frac{6}{5}x+10)\°=(2x-13)\°$ ------> by corresponding angles

Solve for x

Multiply by 5 both sides to remove the fraction

$5(\frac{6}{5}x+10)\°=5(2x-13)\°$

$6x+50=10x-65$

$10x-6x=50+65$

$4x=115$

Divide by 4 both sides

$x=28.75\°$

Part 2) Determine the value of z

we know that

$z=(\frac{6}{5}x+10)\°$ ------> by corresponding angles

we have

$x=28.75\°$

substitute the value of x and solve for z

$z=(\frac{6}{5}(28.75)+10)=44.5\°$

Part 3) Determine the value of y

we know that

$y+z=180\°$ ------> by supplementary angles

we have

$z=44.5\°$

substitute and solve for y

$y+44.5\°=180\°$

$y=180\°-44.5\°=135.5\°$

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1 year ago

emma will roll two number cubes labeled 1 through 6. She will record the sum of the two numbers after each roll. She will roll t

SashulF [63]

Answer:

75 times

Step-by-step explanation:

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2=1,1

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6=1,5 ; 2,4 ; 3,3 ; 4,2 ; 5,1

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9=3,6 ; 4,5 ; 5,4 ; 6,3

10=4,6 ; 5,5 ; 6,4

11=5,6 ; 6,5

12=6,6

Looking at the above, there are 4 sums equal to 5 out of a total of 36 sums.

Thus, probability of getting a sum equal to 5 is;

P(5) = 5/36

Now,since the cubes are rolled 540 times, number of times a sum equal to 5 will appear will be;

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3 years ago

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Kisachek [45]

Answer:

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7 0

3 years ago