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labwork [276]
3 years ago
14

Find two numbers if their ratio is 9:11 and their difference is 6.

Mathematics
2 answers:
balu736 [363]3 years ago
4 0

Answer:

27:33

Step-by-step explanation:

If u multiply both sides of the ratio by the same number, u get an equivalent ratio. By multiplying 9:11 by 3 on both sides, you get 27:33. The difference refers to subtraction. 33-27= 6 which is the difference between the two numbers.

Alexeev081 [22]3 years ago
4 0

Answer:  The required numbers are 27 and 33.

Step-by-step explanation:  We are given to find two numbers if their ratio is 9:11 and their difference is 6.

Let the two numbers be 9x and 11x.

Then, according to the given information, we have

11x-9x=6\\\\\Rightarrow 2x=6\\\\\Rightarrow x=\dfrac{6}{2}\\\\\Rightarrow x=3.

Therefore, the numbers are

9x=9\times3=27,\\\\11x=11\times3=33.

Thus, the required numbers are 27 and 33.

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Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A? Enter your answer in the box.
SashulF [63]

Answer:

135°

Step-by-step Explanation:

==>Given:

An inscribed quadrilateral ABCD with,

m<A = (3x +6)°

m<C = (x + 2)°

==>Required:

measure of angle A

==>Solution:

First, let's find the value of x.

Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.

Therefore, this means m<A + m<C = 180°

Thus, (3x+6) + (x+2} = 180

3x + 6 + x + 2 = 180

Collect like terms:

3x + x + 6 + 2 = 180

4x + 8 = 180

Subtract 8 from both sides:

4x + 8 - 8 = 180 - 8

4x = 172

Divide both sides by 4:

4x/4 = 172/4

x = 43

We can now find m<A = (3x + 6)°

m<A = 3(43) + 6

= 129 + 6

measure of angle A = 135°

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3 years ago
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gayaneshka [121]

Answer:

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Step-by-step explanation:

I think it three sometimes it's a trick question  

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Step-by-step explanation:

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