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MAXImum
2 months ago
10

On his math test, Balavan wrote that a four-sided polygon that has at least two right angles must be a rectangle or a square. De

nna wrote that a four-sided polygon needs at least three right angles to be a rectangle or a square. Who is right? Explain your answer.
Mathematics
2 answers:
Inessa [12.5K]2 months ago
7 0

Answer:

Denna is correct. For quadrilaterals, the total measurement of angles is 360°, which means if three angles are 90°, the fourth must also be 90°, resulting in a rectangle or a square. A quadrilateral can have angles of 90°, 90°, 120°, and 60°, but it won't be a rectangle. Therefore, Balavan's statement is false.

e2020 sample response

Step-by-step explanation:


zzz [12.3K]2 months ago
4 0
A trapezoid can indeed be a quadrilateral with only two right angles, hence Balavan's assertion is incorrect. Denna is correct as having three right angles implies the fourth angle must also be a right angle, leading to either a square or a rectangle.
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Find the lateral area of the prism.<br><br> 120 sq. in.<br> 150 sq. in.<br> 720 sq. in.
Inessa [12570]

To determine the lateral area of the pentagonal prism illustrated in the figure, we begin the calculation.

According to the definition:

A_ {l} = P_ {b} * h

Where:

A_{l}: Represents the lateral area

P_ {b}: Refers to the perimeter of the base

h: Denotes the height

By substituting the known values:

A_ {l} = 20 \ in * 6 \ in\\A_ {l} = 120 \ in ^ 2

Result:

A_ {l} = 120 \ in ^ 2

3 0
1 month ago
If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find the value of x and the measure of RS.
tester [12383]

Response: 13x-14

Detailed explanation:

5x+17+8x-31

4 0
2 months ago
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How can rational numbers be used to help locate irrational numbers
AnnZ [12381]
Parce qu'en connaissant les techniques pour identifier les nombres rationnels, vous saurez automatiquement quand un nombre n'est pas rationnel.
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2 months ago
A space probe is controlled by 7 different instructions from the ground. the probabilities of sending these instructions vary -
Zina [12379]
The space probe must be able to recognize 7 distinct command types.
The number of combinations that can be encoded using n bits is 2^n. Thus, the minimum number of bits required to encode at least 7 different commands would be:

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4 0
2 months ago
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Identify the equation of the circle that has its center at (-27, 120) and passes through the origin.
zzz [12365]

The equation representing the circle centered at (-27, 120) that passes through the origin is:

(x + 27)^2 + (y - 120)^2 = 15129

Solution:

The general equation of a circle is expressed as:

(x-a)^2+(y-b)^2=r^2

Where,

(a, b) denotes the center of the circle

r signifies the radius

Given the center as (-27, 120)

Thus;

a = -27

b = 120

Considering it intersects the origin, meaning (x, y) = (0, 0)

Substituting (a, b) = (-27, 120) and (x, y) = (0, 0) into the equation

(0 + 27)^2 + (0 - 120)^2 = r^2\\\\729 + 14400 = r^2\\\\r^2 = 15129

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(x + 27)^2 + (y - 120)^2 = 15129

Hence, the equation characterizing the circle is determined

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2 months ago
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