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Tcecarenko [31]
3 years ago
15

a contruction worker has a cable that is 8 yards long he wants to cut it into 9 equal length peices how long will each cable be

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0
Each piece would be 2 foot and 6 inches.
VashaNatasha [74]3 years ago
5 0
2 and 2/3 feet or 2.66666666666666666666666666667

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Classify the polygon by its number of sides. State whether the polygon appears to be regular or not regular it’s has 8 sides
Alex73 [517]

Answer:

octagon, regular

Step-by-step explanation:

it has eight sides and the side all measure the same amount

7 0
3 years ago
Abcdefgh is a regular octagon. M is a point on the line dh. N is a point on the line fm. The line dn and fm are perpendicular. P
Aloiza [94]

ΔFHM and ΔDFP by addition to ΔMOF and ΔPDO respectively gives

ΔHOP and ΔDOF, which are congruent.

Response:

  • ΔFHM ≅ ΔDFP by transitive property of equality

<h3>Methods used to prove that the two triangles are congruent</h3>

Based on the properties of a regular octagon, the diagonals DH and BF

of a regular octagon are perpendicular, and they bisect each other,

given that the length of half the diagonal represent the radius of the

circumscribing circle.

Therefore;

∠NFP ≅ ∠NFP by reflexive property

∠PNF ≅ ∠MOF all right angles are congruent

ΔMOF is similar to ΔPNF by Angle-Angle AA similarity postulate.

∠OMF ≅ ∠DMN by reflexive property

Therefore;

ΔDMN is similar to ΔMOF by AA similarity postulate.

Similarly, we have;

ΔDMN ~ ΔPDO by AA similarity postulate;

Therefore;

ΔPDO is similar to ΔOMF by transitive property

∠ODP ≅ ∠OFM by CASTC, Corresponding Angles of Similar Triangle are Congruent.

OD = OF distance from center to the vertex of a regular octagon are

equal to the radial length of the circumscribing circle and are therefore

equal.

Therefore;

ΔPDO ≅ ΔOMF by Angle-Side-Angle ASA congruency rule

ΔPDO = ΔOMF definition of congruency

  • ΔHOF ≅ ΔDOF by Side-Angle-Side, SAS, congruency rule

ΔHOF = ΔDOF

ΔFHM = ΔHOF - ΔOMF subtraction property

Similarly

ΔDFP = ΔDOF - ΔPDO = ΔHOF - ΔOMF = ΔFHM by substitution property

ΔDFP = ΔFHM

ΔFHM = ΔDFP by symmetric property.

Therefore;


  • <u>ΔFHM ≅ ΔDFP by definition of congruency</u>

Learn more about the properties of a regular octagon here:

brainly.com/question/4503941

3 0
2 years ago
HELP!!! if a hospital patient is given 50 milligrams of medicine, which leaves the bloodstream at 10% per hour, how many milligr
kipiarov [429]

Answer:

I also got 27.44 mg.

Step-by-step explanation:

Use the function given to you:

A(t)=le^rt

l: Initial Amount (50)

r: Rate (-.1) (Negative because the medicine is exiting the bloodstream at 10% per hour

t: 6 (the specific time value you are evaluating the function at.

A(6)=50e^-.1(6)=27.44

8 0
3 years ago
Quadrilateral ABCD is a trapezoid with an area of 20 cm². Find the height of the trapezoid, h. Round the answer to the nearest t
Natalka [10]
Trapezoid Area = (Bases / 2) * Height
20 cm² = 5 * Height
Height = 4 cm


4 0
3 years ago
If the radius of the circle is 9, find the area of the shaded region. Round your
zmey [24]

Answer:

we dont know the shaded area...

Step-by-step explanation:

6 0
3 years ago
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