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Hatshy [7]
3 years ago
9

is the statement true if two triangles have their corresponding angles equal, then the triangles are similar

Mathematics
1 answer:
alex41 [277]3 years ago
6 0
Yes it is true as long as long as the corresponding sides are congruent they are similar.
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First correct response gets brainliest
Simora [160]

Answer:

x = 13

Step-by-step explanation:

This question is based on Secant Secant theorem.

Secant Secant theorem gives us the following formula:

(AB + BD)AB = (AC + CE).AC

From the above question we have the following parameters

AB = 5

BD = x

AC = 7.5

CE = 4.5

Hence,

(AB + BD)AB = (AC + CE).AC

(5 + x)5 = (7.5 + 4.5)7.5

25 + 5x = 90

Collect like terms

5x = 90 - 25

5x = 65

x = 65/5

x = 13

5 0
2 years ago
-6(12p-8n) Please help me with this distributive property question.
ASHA 777 [7]

Answer:

=48n−72p

Step-by-step explanation: Good luck

3 0
2 years ago
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The difference of the square of a number and 28 is equal to 3 times that number
Pepsi [2]

Answer:

- 4, 7

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

{x}^{2}  - 28 = 3x \\  {x}^{2}  - 3x - 28 = 0 \\  {x}^{2}  - 7x + 4x - 28 = 0 \\ x(x - 7) + 4(x - 7) = 0 \\ (x - 7)(x + 4) = 0 \\ x - 7 = 0 \: or \: x + 4 = 0 \\ x = 7 \: or \: x =  - 4 \\

5 0
3 years ago
Answer: <br> -7(k+9)=9(k-5)-14k
pav-90 [236]
-7(k+9)=9(k-5)-14k
-7k-63=(9k-45)-14k
-7k-63=-5k-45
-7k=-5k+18
-2k=18
k=-9
7 0
2 years ago
Which of the following is not a rational number?
IceJOKER [234]

Answer:

Option D is not a rational number

Step-by-step explanation:

A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.

For example, ¾ is a rational number while √3 is an irrational number.

Now to the question;

A) The product of 2 and 0.3333 gives;

2 × 0.3333 = 0.6666.

This can be expressed as a fraction as; 6666/10000.

Thus it is a rational number

B) The sum of 2 + √3 and 5 - √3 gives;

2 + √3 + 5 - √3 = 7

As a fraction, it can be written as; 7/1

Thus it is a rational number.

C) The sum of 37 and 12 is;

37 + 12 = 49

Can be expressed as; 49/1

Thus,it's a rational number.

D) Product of 2 and √2 gives;

2 × √2 = 2√2

It can't be expressed as a fraction with integers. Thus, it's not a rational number.

6 0
3 years ago
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