Use δabc shown below to answer the question that follows: triangle abc with segment ad drawn from vertex a and intersecting side cb. which of the following is a step towards proving the similarity of triangles δabc and δdba? segment bc is a hypotenuse. angle b is congruent to itself. segment ba is shorter than segment bc. segment bc is intersected by segment ad.

Given: Triangle ABC with segment AD drawn from vertex A and intersecting side CB.

To Find: First Step towards proving the similarity of triangles ΔABC and ΔDBA.

Solution:  

In ΔABC and ΔDBA

As we can see that to prove that two triangles are similar , their corresponding sides should be proportional and their corresponding interior angles should be equal.

As Ratio of corresponding sides of triangles ΔABC and ΔDBA are not given.

But we can observe from two triangles that

Angle B is common between two  triangles ΔABC and ΔDBA , whatever be the measure of angle B .

So, Option (B): Angle B is congruent to itself is correct option.

answer: sensy

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .