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2 years ago

Complete the chart below to show the properties that hold true for the quadrilateral given in each row.

Mathematics

1 answer:

puteri [66]2 years ago

6 0

Hey there!

<u>Opposite sides are congruent:</u>

all of them

<u>opposite angles are congruent</u>

rectangle and square

<u>all sides are congruent</u>

rhombus and square

<u>diagonals congruent:</u>

rectangle, rhombus, and square

<u>diagonals are perpendicular</u>

square and rhombus

Have a terrificly amazing day!

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A triangle has the side lengths of 28 in,4in and31 inches. classify it as acute, obtuse or right

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The answer is obtuse

a = 4
b = 28
c = 31

If a² + b² > c² - the angle is acute
If a² + b² < c² - the angle is obtuse
If a² + b² = c² - the angle is right

a² + b² = 4² + 28² = 16 + 784 = 800
c² = 31² = 961

800 < 900
a² + b² < c²

Therefore, the angle is obtuse

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Find the value of X <br><br> PLEASE

Oliga [24]

Answer:

x ≈ 18

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

<u>Trigonometry</u>

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

a is a side length
b is a side length
c is a side length
A is an angle corresponding with side a

Step-by-step explanation:

<u>Step 1: Define</u>

a = x

A = 30°

b = 16

c = 30

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute: x² = 16² + 30² - 2(16)(30)cos30°
Exponents: x² = 256 + 900 -2(16)(30)cos30°
Evaluate: x² = 256 + 900 -2(16)(30)(√3/2)
Multiply: x² = 256 + 900 - 480√3
Add: x² = 1156 - 480√3
Subtract: x² = 324.616
Isolate <em>x</em>: x = √324.616
Evaluate: x = 18.0171
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