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DanielleElmas [232]
3 years ago
10

Find the values of the pronumerals in this diagram. Write down the reason in each case.

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

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Subtract fractions with different denominators
Tems11 [23]

Answer:

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

Step-by-step explanation:

We know that

  • A fraction consists of two integers—one on the top, and one on the bottom.
  • The top one is numerator, the bottom one is denominator, and
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Let us consider two different fractions with different denominators

  • \frac{10}{15}
  • \frac{2}{5}

Lets subtract the two fractions

\frac{10}{15}-\frac{2}{5}\:\:\:\:

\mathrm{Cancel\:}\frac{10}{15}:\quad \frac{2}{3}

=\frac{2}{3}-\frac{2}{5}

\mathrm{Least\:Common\:Multiplier\:of\:}3,\:5:\quad 15

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

\mathrm{For}\:\frac{2}{3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:5

\frac{2}{3}=\frac{2\cdot \:5}{3\cdot \:5}=\frac{10}{15}

\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3

\frac{2}{5}=\frac{2\cdot \:3}{5\cdot \:3}=\frac{6}{15}

so

=\frac{10}{15}-\frac{6}{15}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{10-6}{15}

\mathrm{Subtract\:the\:numbers:}\:10-6=4

=\frac{4}{15}

Therefore,

\frac{10}{15}-\frac{2}{5}=\frac{4}{15}

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The function actually represents a line. Since it can have linear form.

f(x)=2x+0

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r3t40

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To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).

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