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Setler [38]
3 years ago
13

What is the value of W in a exterior angle theorem

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

26

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

so:

30 + 2w - 8 = w + 48

22 + 2w = w + 48 export like terms to the same side of the equation

2w - w = 48 - 22 subtract

w = 26

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A restaurant's profits for the first three weeks of September are $15,000; $9,300; and $12,000. What are the average profits for
Taya2010 [7]

Answer:

$12100

Step-by-step explanation:

Step one:

Given data

The given profits are

First week= $15,000

Second week= $9300

Third week = $12,000

Required

The average profit

Step two:

The number of weeks is 3

hence the average is

= 15000+9300+12000/3

=36300/3

=$12100

5 0
2 years ago
Can you guys please help me out on this one? I already tried but I just get confused. sorry for the bad camera quality. Please a
Tom [10]
Make a game out of it. it says that softball dimond is 50% bigger than a basball feild. also with the balls. transfer the feet to cm and go from there. i think you need to transfer the percentage into cm as well to get the answer.
5 0
3 years ago
Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a
g100num [7]

Answer:

A) For c ≡ 9 a ( mod 13 ) ; C is 10

B) For c ≡ 11 b ( mod 13 ) ; C is 8

C) For c ≡ a + b ( mod 13 ); C is 0

D) For c ≡ a² + b² ( mod 13 ); C is 6

E) For c ≡ a² − b² ( mod 13 ) ; C is 0

Step-by-step explanation:

This is a modular arithmetic problem where a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ).

And 0 ≤ c ≤ 12.

A) c ≡ 9 a ( mod 13 )

Substituting the value of a to obtain;

c ≡ 9 x4 ( mod 13 ) = 36 mod 13

To find 36 mod 13 using the Modulo Method, we first divide the Dividend (36) by the Divisor (13).

Second, we multiply the whole part of the Quotient in the previous step by the Divisor (13).

Then finally, we subtract the answer in the second step from the Dividend (36) to get the answer. Here is the math to illustrate how to get 36 mod 13 using Modulo Method:

36 / 13 = 2.769231

2 x 13 = 26

36 - 26 = 10

Thus, the answer to "What is 36 mod 13?" is 10

So C = 10

B) c ≡ 11 b ( mod 13 ) = 11 x 9 ( mod 13 ) = 99 ( mod 13 )

Using the same method as above,

99 ( mod 13 );

99 / 13 = 7.6155

7 x 13 = 91

99 - 91 = 8

So, C = 8

C)c ≡ a + b ( mod 13 ) = 4 + 9 (mod 13) = 13 (mod 13)

Thus;

13 / 13 = 1

1 x 13 = 13

13 - 13 = 0

So, C = 0

D)c ≡ a² + b² ( mod 13 ) = 4² + 9²( mod 13 ) = 16 + 81 ( mod 13 ) = 97 ( mod 13 )

Thus;

97 / 13 = 7.46154

7 x 13 = 91

97 - 91 = 6

So, C = 6

E)c ≡ a² − b² ( mod 13 )= 4² - 9²( mod 13 ) = 16 - 81 ( mod 13 ) = - 65 ( mod 13 )

Thus;

-65 / 13 = - 5

-5 x 13 = - 65

-65 - (-65) = 0

So, C = 0

3 0
3 years ago
Mary ran 3.45 miles on Monday, 2.2 miles on Tuesday, 0.055 miles on Wednesday, and 9.03 miles on Thursday. How many total miles
Nata [24]
Well all you need to do is add them so 3.45 + 2.2 = 5.65 then add 0.055 to 5.65 which is 5.705 and last but not least, add 9.03 to 5.705 which is 14.735 which makes 14.735 how many miles she ran. Hope this helps
4 0
2 years ago
A bag of marbles contsins 6 red, 8 green and 5 blue. what is the probability of picking a green
vekshin1
6+8+5=19
Probability= 8/19=0.42= 42% of picking green.
3 0
3 years ago
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