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3 years ago

Which types of quadrilaterals have four congruent sides?

2 answers:

4 0

The correct answer is A - rhombus and square.

B is incorrect because a parallelogram doesn't necessarily have congruent sides, it just has sides that are parallel.
C is incorrect because a rectangle has a pair of sides longer than the other pair of sides.
D is wrong because of the reason listed under C.

Hope this helps.

vivado [14]3 years ago

3 0

A RHOMBUS and SQUARE are both quadrilaterals that have four congruent sides. By definition, parallelograms have to have two sets of congruent sides, and so do rectangles. Though parallelograms can have four congruent sides, they are not always; rectangles never have four congruent sides.

Answer: rhombus and square

Hope this helps!

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3 years ago

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The area of the regular octagon is approximately 54 cm2. What is the length of line segment AB, rounded to the nearest tenth?

erastova [34]

Answer:

AB = 3.3 cm

Step-by-step explanation:

The formula to find out area of a regular octagon is given by

$A=2(1+\sqrt{2})a^{2}$

where a is the length of each side of the regular octagon.

Plugin A=54 into the formula

$54=2(1+\sqrt{2})a^{2}$

Divide both sides by 2

$\frac{54}{2} =\frac{2}{2} (1+\sqrt{2})a^{2}$

$27 = (1+\sqrt{2})a^{2}$

Plugin √2 as 1.41

$27 = (1+1.41)a^{2}$

$27 = (2.41)a^{2}$

Divide both sides by 2.41

$\frac{27}{2.41} = \frac{2.41}{2.41} a^{2}$

$11.20 = a^{2}$

Taking square root on both sides

$\sqrt{11.20} = \sqrt{a^{2}}$

a = 3.346

a = 3.3 cm (rounded to nearest tenth)

so, length of side AB = 3.3 cm

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3 years ago

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How do I solve this system of equations by substitution? <br> y - 3x = 2, y=(x + 1)^2 - 5

Arada [10]

Hello,

y-3x=2==>x=(y-2)/3
==>(x+1)²=((y-2)/3+1)²=(y+1)²/9

y=(x+1)²-5
==>y=(y²+2y1)/9 -5
==>y²-7y-44=0 ; Δ=7²+4*44=225=15²
==>y=(7+15)/2 or y=(7-15)/2

==>y =11 and x=(11-2)/3=3
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sol={(3,11);(-2,-4)}

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3 years ago

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