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mote1985 [20]
3 years ago
13

If angle A is congruent to itself by the Reflexive property, which transformation could be used to prove triangle ABC is similar

to triangle ADE by AA similarity postulate?
A. Translate triangle ADE so that point D lies on point B to confirm angle D is congruent to angle B.


B. Translate triangle ADE so that point B lies on point E to confirm angle B is congruent to angle E.


C. Dilate triangle ABC from point A by the ratio segment AD over segment AB to confirm segment AD is similar to segment AB


D. Dilate triangle ABC from point A by the ratio segment AE over AC to confirm segment AE is similar to segment AC.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Answer:

A. Translate triangle ADE so that point D lies on point B to confirm angle D is congruent to angle B.

Step-by-step explanation:

Two triangles are said to be similar if the ratio of their corresponding sides are equal.

The AA Similarity Postulate states that If two angles of one triangle is congruent to two angles of another triangle, then the two triangles are similar.

Translation is the movement of a point up, down, left or right.

Since ∠A = ∠A (reflexive property of congruence)

We have to prove that ∠D = ∠B, by Translating triangle ADE so that point D lies on point B

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7 0
3 years ago
For all values of x, f(x)=2x^2 and g(x)= x+1<br> Solve fg(x) = gf(x)
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Answer:

-0.25

Step-by-step explanation:

→ Find fg(x)

2 ( x + 1 )² = 2x² + 4x + 2

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4 0
2 years ago
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There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average
lorasvet [3.4K]

Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

Solution:

Volume = 36000in³

Conversion of in³ to ft³

1 inch = 0.0833 feet

12 inch = 1 ft

1 ft³ = 1ft × 1ft × 1ft

= 12 in x 12 in x 12 in = 1728 in³

36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³

= 20.833ft³

Volume = 20.833ft³

There are 7.48 gallons in a cubic foot

In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)

= 20.833× 7.48gallons

Volume = 155.83 gallons

The rate of usage = 56 gallons per minute

The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

= (155.83/56)minute

= 2.8minutes

Time it will take to drain the entire tower = 2.8minutes

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Answer:

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Step-by-step explanation:

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