If BD = 2.4 and AB = 1.0, calculate the value of DA. circle D with tangent line segment AC touching at point B; line segment AD 1.96 2.18 11.56 2.6

If AB = 9, CD = 12, and FE = 22, calculate the values of line segment AE and line segment CE
image of a circle inscribed inside triangle ACE; the points of intersection points are: on side AC point B, on side AE point F, and on side CE point D

AE = 34 and CE = 31

AE = 31 and CE = 34

AE = 21 and CE = 34

AE = 34 and CE =21

Step-by-step explanation:

a) Triangle ABD is a right triangle with side lengths 1 and 2.4. The triangle inequality requires hypotenuse AD have a length between 2.4 and 3.4. Only one answer choice is in that range: DA = 2.6.

(The ratio of the given sides is 1 : 2.4 = 5 : 12. These match the Pythagorean triple 5:12:13, so you know the hypotenuse DA is 2.6 units long. Even if you're not familiar with that triple, you can use the Pythagorean theorem to calculate the length of DA.)

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b) Tangents to a circle from the same point are the same length, so ...

  FA = BA = 9

  AE = FA +FE = 9 +22 = 31 . . . . . . sufficient to choose the correct answer

and ...

  DE = FE = 22

  CE = CD +DE = 12 +22 = 34

The side lengths are AE = 31, CE = 34.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .