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4 years ago

Look at the figure.

Mathematics

2 answers:

konstantin123 [22]4 years ago

5 0

Answer:ΔSRT and ΔTRP

Step-by-step explanation:

We are given that R is a point on hypotenuse SP such that the segment RT is perpendicular to PS, therefore, PR=RS as the perpendicular bisector divides the line segment in two equal halves.

Now,

In ΔSRT and ΔTRP,

PR=SR( Since RT is perpendicular bisector, it divides PS in two equal halves)

∠PRT=∠SRT=90° (RT is perpendicular bisector of PS)

RT=RT(Common)

Therefore, by SAS rule of congruency,

ΔSRT ≅ΔTRP

Hence, Option D is correct.

AVprozaik [17]4 years ago

3 0

I believe the correct answer from the choices listed above is the third option. The pair of triangles that are similar are the triangles PQR and PTS. They both are isosceles triangles with the same ratio of the corresponding lengths. Hope this answers the question. Have a nice day.

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elena-14-01-66 [18.8K]

Answer:

x = 6.5

Step-by-step explanation:

By property of intersecting secants outside of circle.

$6(6 + x) = 5(5 + 10) \\ 36 + 6x = 5 \times 15 \\ 6x = 75 - 36 \\ 6x = 39 \\ x = \frac{39}{6} \\ x = \frac{13}{2} \\ x = 6.5$

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3 years ago

The coordinate of centroid of a triangle whose vertices are (1,3,-2), (4,5,0), (6,3,9) is = ……………….

Dominik [7]

Answer:

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

Step-by-step explanation:

Given

$(x_1,y_1,z_1) = (1,3,-2)$

$(x_2,y_2,z_2) = (4,5,0)$

$(x_3,y_3,z_3) = (6,3,9)$

Required

Determine the coordinates of the centroid

Represent the coordinates with C.

C is calculated as follows:

$C = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3),\frac{1}{3}(z_1+z_2+z_3}))$

Substitute values of x and y in the given equation

$C = (\frac{1}{3}(1+4+6),\frac{1}{3}(3+5+3),\frac{1}{3}(-2+0+9}))$

$C = (\frac{1}{3}(11),\frac{1}{3}(11),\frac{1}{3}(7}))$

$C = (\frac{11}{3},\frac{11}{3},\frac{7}{3})$

<em>The above is the coordinate of the centroid</em>

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3 years ago

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Vesnalui [34]

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4 years ago

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kogti [31]

Answer:

1.1221500000*10^-10

Step-by-step explanation:

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11,221,500,000‬= 1.1221500000*10^-10

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3 years ago

1/2 (4x+6)=1/3 (9x-24)

Maslowich

The answer to your question is X= 11

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4 years ago

Read 2 more answers