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Leno4ka [110]
3 years ago
7

In the diagram, AITP - ANGO. Find the values of x and y. y = X=

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

x = 25, y = 9

Step-by-step explanation:

Since the triangles are congruent then corresponding angles and sides are congruent, thus

∠ O = ∠ P , substitute values

6y - 14 = 40 ( add 14 to both sides )

6y = 54 ( divide both sides by 6 )

y = 9

and

NG = IT , that is

x - 2y = 7 ( substitute y = 9 into the equation )

x - 2(9) = 7

x - 18 = 7 ( add 18 to both sides )

x = 25

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Four different digits from 1 to 9 are required to open a safe.
masha68 [24]

Answer:  5942

<u>Step-by-step explanation:</u>

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7    eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1     --> 2981 or 2891   eliminate by clue 2

9 __ __ 8    --> 9128 or 9218   eliminate by clue 6

9 __ __ 2    --> 9182 or 9812   eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2     --> 5492 or 5942   eliminate 5492 by clue 2

9 __ __ 2    --> 9452 or 9542   eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1    --> 4781 or 4871    eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 <  5, 9, 4

5 0
3 years ago
HELP plsss if I don’t answer this I can’t go to lunch
zhannawk [14.2K]
7/g This is the correct answer to your problem
3 0
3 years ago
1. Angle BAC = 35° and angle BCA = 20°. What is the measure of angle BAD?
Tema [17]

Check the picture below.

7 0
2 years ago
Xavier (x) has $20 more than Sara (s). Their combined money totals $90. Which system of equations represents this situation?
borishaifa [10]

Answer:

B) x + s = 90, x - s = 20

Step-by-step explanation:

x + s = 90 represents that both Xavier and Sara's money combined is $90.

x - s = 20 represents that Xavier has 20 more dollars than Sara.

8 0
3 years ago
The sum of two numbers is five. If n is used to represent the smaller number, translate "three less than two times the larger nu
mojhsa [17]
I think that the answer is four because it makes much more sense but five is not greater than five or less than five so I don’t know. Try four though sorry if it’s wrong though.
7 0
3 years ago
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