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3 years ago

Which properties are best used prove a quadrilateral is a rhombus?

Mathematics

2 answers:

horrorfan [7]3 years ago

5 0

Step-by-step explanation:

The distinguishing properties of a rhombus is that the closed shape has exactly 4 sides of equal length.

8_murik_8 [283]3 years ago

3 0

Answer:

1) Show that the shape is a parallelogram with equal length sides

2) Show that the shape's diagonals are each others' perpendicular bisectors

3) Show that the shape's diagonals bisect both pairs of opposite angles.

Step-by-step explanation:

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Use the Law of Sines to find the missing angle of the triangle.

Natasha2012 [34]

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

<u>Sine Rule for Angles</u>

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

a = 13
c = 19
A = 40°

Substituting the given values into the formula to find m∠C:

$\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}$

$\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}$

$\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)$

$\implies \sf m \angle C=69.96086904^{\circ}$

Interior angles of a triangle sum to 180°

$\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}$

$\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}$

$\implies \sf m \angle B=70.03913...^{\circ}$

Therefore, m∠B = 70.0° (nearest tenth)

8 0

2 years ago

David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he s

jeyben [28]

Answer:

He would be making 79000 after 4 years and I am guessing t means ten and that would be 94000.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

An acute angle measures less than π/2 but greater than 0

Ivenika [448]

If you're looking for an angle in between those, basically you have to choose an angle between 0 and 90°. any angle should work (such as 15°, 45°, 60°, 75°, etc.)

8 0

3 years ago

Find the sum of interior angles a polygon has with the given number of sides a.9 b.19

Gnom [1K]

The equation for this is (n-2) x 180

Replace n with the number of sides:

a. 9: (9-2) x 180 = 7 x 180 = 1,260

b. 19: (19-2) x 180 = 17 x 180 = 3,060

4 0

3 years ago

Xiao teacher asked him to rewrite the sum 60+90 as the product of the GCF of the two numbers and a sum Xiao wrote 3(20+30) what

GrogVix [38]

$The\ mistake:GCF(60;\ 90)\ isn't\ 3\ just\ 30.\\\\Correct\ answer:60+90=30(2+3)$

8 0

3 years ago