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Ganezh [65]
3 years ago
12

Find the value of y for a given value of x, if y varies directly with x. If y = 0.15 when x = 1.5, what is y when x = 6.3? a. –0

.63 b. 0.63 c. 63 d. –63 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

b

Step-by-step explanation:

I believe its b, because1.5 is 10 times 0.15

and 6.3 is 10 times 0.63

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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
EASY 20 POINTS! PLEASE HELP
k0ka [10]

Answer:

5/9 for parallel, -9/5 perpendicular

Step-by-step explanation:

5 0
2 years ago
If 3x-8=-2,find the value of x-6
xxMikexx [17]
I believe the answer is -8
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2 years ago
(?,3) is on the line y=2x+5 what is the other coordinate
Dmitriy789 [7]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Substitute it into the equation:

3 = 2x + 5

Subtract 5 from both sides:

-2 = 2x

Divide both sides by 2:

x = -1

The other coordinate is -1

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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