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3 years ago

The decimal 0.15 can be written as which fraction?

1 answer:

3 0

To turn the decimal 0.15 into a fraction, we put 15 as the numerator of the fraction and the denominator would be 100 since there are 2 numbers that are after the decimal.

Notice that $\frac{15}{100}$ is not in lowest terms. We can divide both the numerator and the denominator of the fraction by our greatest common factor which is 5.

15 ÷ 5 = 3

100 ÷ 5 = 20

Therefore, 0.15 can be written as the fraction 3/20, which is in lowest terms.

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1) $\overline{BA} \cong \overline{FA}$ , $\angle 1 \cong \angle 2$ (given)

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3) $\triangle AEB \cong \triangle ACF$ (ASA)

4) $\overline{AC} \cong \overline{AE}$ (CPCTC)

Question 12

1) Isosceles $\triangle ACD$ with $\overline{AC} \cong \overline{AD}$ , $\overline{BC} \cong \overline{ED}$ (given)

2) $\angle ACD \cong \angle ADC$ (angles opposite congruent sides in a triangle are congruent)

3) $\angle ACB$ and $\angle ACD$ are supplementary. $\angle ADC$ and $\angle ADE$ are supplementary (angles that form a linear pair are supplementary)

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7) $\triangle ABE$ is an isosceles triangle (a triangle with two congruent sides is isosceles)

Note: I changed the names of the segments in Question 11 because of the word filter.

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aniked [119]

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Creating equations

$\\ \sf\longmapsto x-2y=-3\dots(1)$

$\\ \sf\longmapsto 4y-3=5\dots(2)$

$\\ \sf\longmapsto 6x-2z=4\dots(3)$

$\\ \sf\longmapsto 2y-z=3\dots(3)$

From eq(2)

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$\\ \sf\longmapsto y=\dfrac{8}{4}$

$\\ \bf\longmapsto y=2$

Put the value in eq(1)

$\\ \sf\longmapsto x-2y=-3$

$\\ \sf\longmapsto x=-3+2y$

$\\ \sf\longmapsto x=-3+2(2)$

$\\ \sf\longmapsto x=-3+4$

$\\ \bf\longmapsto x=1$

Put the value in eq(4)

$\\ \sf\longmapsto 2y-z=3$

$\\ \sf\longmapsto z=2y-3$

$\\ \sf\longmapsto z=2(2)-3$

$\\ \sf\longmapsto z=4-3$

$\\ \bf\longmapsto z=1$

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The answer is -2/7

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