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olga2289 [7]
4 years ago
7

Use the figure to find the value of x. Justify your answer. Please help.

Mathematics
1 answer:
cluponka [151]4 years ago
4 0

Answer:

x=57

Step-by-step explanation:

ru and ut are equal there for <r and < t are equal

<r = <t

33 = <t


<r + <u + <t = 180   triangle

33+ <u + 33 = 180

add like terms

66 + <u = 180

subtract 66 from each side

<u = 114

<u = 2x  the angles are equal

114 = 2x

divide by 2

57 =x


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Josue broke a cell sample into 12 batches, each weighing 6.9 x 10 ^-10
Klio2033 [76]

Using proportions, it is found that the original sample weighed 8.28 \times 10^{-9} grams.

  • This question is solved by <em>proportions</em>, using a rule of three.
  • The weight of 1 batch, in grams, is of 6.9 \times 10^{-10}. How much do the sample of 12 batches weigh?

The rule of three is:

1 batch - 6.9 \times 10^{-10} grams.

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Applying cross multiplication:

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Applying scientific notation:

8.28 \times 10^{-9}

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The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x
marysya [2.9K]

Answer:

The value of x is 11.

Step-by-step explanation:

The given number is 0.27272727..., and it is converted to the fraction as

0.272727...=\frac{3}{x}                 ..... (1)

Multiply both sides by 100.

0.272727...\times 100=\frac{3}{x}\times 100

27.272727=\frac{300}{x}            .... (2)

Subtract equation (1) from equation (2),

27.272727-0.272727...=\frac{300}{x}-\frac{3}{x}

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Can someone help me out with this, i have to turn it in tomorrow
Morgarella [4.7K]

Answer:

Q = 132

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Step-by-step explanation:

Angles R + S = 180, which means

(5x + 3) + (14x + 6) = 180

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R = 5x + 3 = 5(9) + 3 = 48

S = 14x + 6 = 14(9) + 6 = 132

Q = 180 - R = 180 - 48 = 132

P = 180 - Q = 180 - 132 = 48

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