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taurus [48]
3 years ago
13

Identify the pair of angles shown in the figure. answers A. LINEAR PAIR B. COMPLEMENTARY C. CONGRUENT D. VERTICAL

Mathematics
2 answers:
Alja [10]3 years ago
7 0

Answer:

Linear Pair.

Step-by-step explanation:

Note that Line PS is a straight line, or that it's angle measurement = 180°.

The pair of angles you are looking at are ∠PQR & ∠SQR

Note that:

m∠PQR + m∠SQR = 180°, as <em>angle PQR</em> + <em>angle RQS</em> = <em>angle PQS</em>.

By definition of Linear Pair, the two angles, when added, must equal 180°, or form a straight line.

~

posledela3 years ago
4 0

Answer:

linear pair

Step-by-step explanation:

The two angles add together to form a straight line, which is 180 degrees.

These angles are supplementary, or a linear pair

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Answer:

1) The system of equations is 5x+4y=75 and x+y=18

2) The first number is 3 and the second number is 15

Step-by-step explanation:

1) Let be "x" the first number and "y" the second number.

Remember that:

a- The word "times" indicates multiplication.

b- A sum is the result of an addition.

c- "Is" indicates this sign:  =

Then, the sum of 5 times "x" and 4 times "y" is 75, can written as:

5x+4y=75

And "The sum of the two numbers is 18" can written as:

x+y=18

Therefore, the System of equations is:

\left \{ {{5x+4y=75} \atop {x+y=18}} \right.

2) You can use the Elimination Method to solve it:

- Multiply the second equation by -5, add the equations and then solve for "y":

\left \{ {{5x+4y=75} \atop {-5x-5y=-90}} \right.\\......................\\-y=-15\\\\y=15

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x+15=18\\\\x=18-15\\\\x=3

7 0
3 years ago
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2 years ago
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seropon [69]
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3 years ago
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│Hope this helped  _____________________│      

│~Xxxtentaction _______________________│

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