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amm1812
3 years ago
13

Find the values that make this a parallelogram (please show work)

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

Answer:

Correct answer is: 7. y = 28° and x = 29°   8. y = 7 and x = 5

Step-by-step explanation:

7.

In the parallelogram, adjacent angles are supplementary and the opposite angles are the same.

According to this:

(3 y - 20) + (4 y + 4) = 180 => 7 y - 16 = 180 => 7 y = 180 + 16 => 7 y = 196

y = 196/7 = 28°  =>  y = 28°

4 x + (2 x + 6) = 180 => 6 x + 6 = 180 => 6 x = 180 - 6 => 6 x = 174

x = 174/6 = 29°  => x = 29°

8.

At the parallelogram, the diagonal is split into two equal parts.

According to this:

3 y - 3 = 2 y + 4 => 3 y - 2 y = 4 + 3 => y = 7

x - 1 = 2 x - 6 => 2 x - x = 6 - 1 => x = 5

God with you!!!

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What much expression represents a rational number?
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Answer:

\displaystyle \frac{2}{7}+\sqrt{121}

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

\displaystyle \frac{a}{b}, \ b\neq 0

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As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

\displaystyle \frac{5}{9}+\sqrt{18}

The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational

\pi + \sqrt{16}

The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

\displaystyle \frac{2}{7}+\sqrt{121}

The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

\displaystyle \frac{3}{10}+\sqrt{11}

As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.

Correct option:

\boxed{\displaystyle \frac{2}{7}+\sqrt{121}}

6 0
3 years ago
The graph of y=h(x)y=h(x)y, equals, h, left parenthesis, x, right parenthesis is a line segment joining the points (1,9)(1,9)lef
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Answer:

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Step-by-step explanation:

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If a function is defined as

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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