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Blababa [14]
3 years ago
15

What does |a|=|b| mean?

Mathematics
2 answers:
marysya [2.9K]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

The 2 vertical lines about  the letters mean ' the absolute value of' . That is if a  or b have negative values then the absolute value will be the positive . For example if a = -4 then |a| = 4. The absolute value is always positive.

Therefore, for example, if a is 2 and b = -2 then |a| will be equal to |b|, because they both have a value of 2.

12345 [234]3 years ago
5 0

Answer:

  a = ±b

Step-by-step explanation:

The vertical bars are the symbol for "absolute value", so the equation is saying, "the absolute value of 'a' is equal to the absolute value of 'b'." The absolute value is the magnitude of a number, so, for example, |-3| = 3.

If the magnitudes of two numbers are the same, they may be the same value, or they may differ in sign.

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Step-by-step explanation:

Note: Diagram for Question is attached

1. Angle Bisector Theorem

BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.

2. Sum of Adjacent Angles

Two adjacent angles can be added together to find the larger angle that is formed by the two angles.

3. Co-interior angle property

Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)

4. Additive law

By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

\angle AOB and \angle BOC are linear pair angles.

\therefore m\angle AOB + m\angle BOC = 180° \\  \therefore  \: 3x + 124 \degree + 6x + 29 \degree  = 180° \\  \therefore  \: 9x  + 153 \degree  = 180°  \\ \therefore  \: 9x  = 180°  - 153 \degree   \\ \therefore  \: 9x  = 27 \degree   \\ \therefore  \:x =  \frac{27 \degree }{9}  \\  \huge \pink{ \boxed{\therefore  \:x =3 \degree }} \\  \\  \because \: m\angle BOC =6x + 29 \degree   \\ \therefore \: m\angle BOC =6 \times3 \degree + 29 \degree   \\ \therefore \: m\angle BOC = 18\degree + 29 \degree    \\ \\   \huge \red{ \boxed{\therefore \: m\angle BOC = 47 \degree   }}

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