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3 years ago

Use the two-way table to answer the question.

Mathematics

1 answer:

lidiya [134]3 years ago

3 0

Answer:

A.) 11%

Step-by-step explanation:

Step 1) There are 9 favorable outcomes but only 1 outcome is possible, so that leaves us with a fraction of: $\frac{1}{9}$

Step 2) Then we need to turn this into a decimal to find the percentage:

1 ÷ 9 = 0.111111111...

Step 3) We now need to turn this into a percent:

0.11 x 100% = 11%

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FG ∥ CB, A ∈ FG, D ∈ AB, E ∈ AC

andrey2020 [161]

Answer:

The value of x is $31^{\circ}$ .

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4= $28^{\circ}$

Hence, ∠1=∠4= $28^{\circ}$

And On FG the sum of angles will be $180^{\circ}$

∠3+∠2+∠1= $180^{\circ}$

$90^{\circ}$ +∠2+ $28^{\circ}$ = $180^{\circ}$

Hence, ∠2= $62^{\circ}$

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

$62^{\circ}+3x=x+4x$

On simplification we get:

$2x=62^{\circ}$

$x=31^{\circ}$

Hence, the value of x is $31^{\circ}$ .

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Answer:

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Step by step explanation:

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