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.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9