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3 years ago

What is the answer???

Mathematics

1 answer:

cluponka [151]3 years ago

6 0

Answer:

Step-by-step explanation:

sorry if im wrong.

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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.

4 0

4 years ago

HELP! Evaluate. 45 + 22 ÷ 11 • {[(60 – 15) • 60] + 25}

siniylev [52]

Step-by-step explanation: [(60 – 15) • 60] + 25} = 45.60 +25

=2725

45 + 22 ÷ 11. 2725

45 + 2 . 2725

45+ 5450

=5495

4 0

3 years ago

What would x equal and the work to show why? Thanks!

bija089 [108]

Answer:

x=450

Step-by-step explanation:

1. you cross multiply 1200x3= 3600

2. Divide 3600 by 8

3. Solution is 450

8 0

4 years ago

Read 2 more answers

Solve for x. Round all answers to the nearest tenth. 9 X 12

maria [59]

Step-by-step explanation:

x=54

use pyth then the other line = 15

then 15÷90 = 9÷x

then x = 54

8 0

3 years ago

Read 2 more answers

Help me please! i am struggling:(

Simora [160]

Answer: A)

In order to inscribe a square in a circle using only a compass and straight edge, you must first draw a tangent

Step-by-step explanation:

have a nice day!! ^_^

5 0

3 years ago