# Which of the following must be given to prove that ΔABC is similar to ΔDBA?a. Segment AD is an altitude of ΔABC.b. Segment CB is a hypotenuse.c. Segment CA is shorter than segment BA.d. Angle C is congruent to itself.

The correct answer is option A.

Step-by-step explanation:

For the given triangles to be similar the segment AD must be an altitude of ΔABC.

We can provide a theorem for the same:

If we draw an altitude from the right angle of any right triangle, then the two triangles formed are similar to the original triangle.

Also all the three triangles are similar to each other.

Like here, in the triangle ABC, we draw an altitude from A to the side BC, thus forming 2 triangles; ΔDBA and ΔDAC. These both will be similar to ΔABC.

So, by the theorem it is proven that  ΔABC is similar to ΔDBA.

Therefore, option A is correct.

## Related Questions

I believe it's B.Let me know if it's right,if it not,i'm so sorry

Step-by-step explanation:

B

Step-by-step explanation:

The other statements incorrectly describe the transformations.  C is facing a different direction and so without involving rotations it can not be the reflection of any of the other triangles.

For the equation y = 2x2 - 5x + 18, choose the correct

Option (2)

Step-by-step explanation:

ax² + bx + c = 0

roots of this equation can be determined by using quadratic formula,

x =

Comparing this quadratic equation with the given equation,

y = 2x² - 5x + 18 = 0

a = 2

b = (-5)

c = 18

By substituting these values in the given formula,

x =

Therefore, Option (2) will be the answer.

Which of the following is equivalent to 2 2/5​

0.4 - 0.40 - 4/10 -

Step-by-step explanation:

Susan started with a certain number of dollars. She then decided on a number of dollars she would save each day. She added the dollars she saved to the amount with which she started. At the end of day 2, Susan had a total of 20 dollars saved. At the end of day 5, she had a total of 32 dollars saved. How many dollars does Susan start with? Show or explain your work.
Write an equation to model the number of dollars Susan has saved, y, after x days.

Equation to model the number of dollars Susan has saved, y, after x days :

Step-by-step explanation:

Given :  She added the dollars she saved to the amount with which she started. At the end of day 2, Susan had a total of 20 dollars saved. At the end of day 5, she had a total of 32 dollars saved.

To Find: How many dollars does Susan start with? Show or explain your work.  Write an equation to model the number of dollars Susan has saved, y, after x days.

Solution :

Since At the end of day 2, Susan had a total of 20 dollars saved.

At the end of day 5, she had a total of 32 dollars saved.

So, using two point slope from find the equation of line

x denotes days

y denotes dollars she saved

--a

Thus the equation to model the number of dollars Susan has saved, y, after x days :

Put x = 0 in equation a

I also need answers to this before 8pm

-geometry

32

Step-by-step explanation:

JL = LG/2 -->

16 = LG/2 -->

32 = LG

I believe LG is 16 because since it’s a parallelogram HK bisects JG

3125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.

The ratio of men to women in this situation is 5/6.

Step-by-step explanation:

If you rewrite this as a percentage, it is 83.33%.

And also the alternative form of the answer is 0.83.

Hope this helps and if you could mark as brainliest. Thanks!