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klemol [59]
4 years ago
11

Which of the following must be given to prove that ΔABC is similar to ΔDBA?

Mathematics
2 answers:
BARSIC [14]4 years ago
6 0
This answer is a (A) segment AD is an altitude at angle ABC
Artyom0805 [142]4 years ago
3 0

Answer:

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.

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The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

5 0
4 years ago
Jackie bought a 3-pack of tubes of glue. She used 0.27 ounce of the glue from the 3-pack
romanna [79]

Answer:

0.54 ounces

Step-by-step explanation:

add 0.27+1.35= 1.62

1.62/3= 0.54 ounces per tube

okay im not interely sure i was cinfused for some reason but please see f=if its correct.. ^-^ i use logic-

7 0
3 years ago
If x=2 and y=3. What is x*y/xy+x*y​
Lunna [17]

Answer

its uhhhhh i dont know

Step-by-step explanation:

3 0
3 years ago
Pls help me out................................​
lana66690 [7]

Answer:

The point 6,60 means that in a timespan of 6 hours they were able to build 60 cars

Step-by-step explanation:

5 0
3 years ago
What value of x satisfies the equation x/6 - 1/5 = 7/30
Kazeer [188]
I think the answer is x=13/5. Please double check my work.
5 0
4 years ago
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