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3 years ago

Lines b and c are parallel. Which pairs of angles are supplementary?

Mathematics

1 answer:

Marat540 [252]3 years ago

8 0

Answer:

3 and 5

The angles that are vertically adjacent to the transversal.. when it cuts two parellel lines are always supplementary.. that is they make 180 degree.. hence, in the given pair 3 and 5 are supplementary..

as they lie on the transversal

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Answer:

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Step-by-step explanation:

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3 years ago

The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, prove

REY [17]

To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.

Sides:

$d_{RM}=\sqrt{(-4-1)^2+(5-4)^2}$

$=\sqrt{(-5)^2+(1)^2}$

$=\sqrt{25+1}$

$=\sqrt{26}$

$d_{MB}=\sqrt{(1-2)^2+(4+1)^2}$

$=\sqrt{(-1)^2+(15)^2}$

$=\sqrt{1+25}$

$=\sqrt{26}$

$d_{BS}=\sqrt{(2+3)^2+(-1-0)^2}$

$=\sqrt{(5)^2+(-1)^2}$

$=\sqrt{25+1}$

$=\sqrt{26}$

$d_{SR}=\sqrt{(-3+4)^2+(0-5)^2}$

$=\sqrt{(1)^2+(-5)^2}$

$=\sqrt{1+25}$

$=\sqrt{26}$

$\overline{RM}$ ≅ $\overline{MB}$ ≅ $\overline{BS}$ ≅ $\overline{SR}$

Diagonals:

Use the slope formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

$m_{RB}=\dfrac{5+1}{-4-2}$

$=\dfrac{6}{-6}$

= -1

$m_{MS}=\dfrac{4-0}{1+3}$

$=\dfrac{4}{4}$

= 1

Slopes are opposite reciprocals so they are perpendicular.

***************************************************************************

All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.

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Answer:

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Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

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2 years ago

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astraxan [27]

Answer:

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General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notations

Step-by-step explanation:

Step 1: Define

Identify.

f(x) = x² + 9x - 6

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