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Novosadov [1.4K]
3 years ago
10

Which statement completes the proof that the sum of the angles of triangle PRQ is 180°? Statement Justification

Mathematics
2 answers:
Nutka1998 [239]3 years ago
8 0

Answer:

The step missing is

m\angle PRQ + m\angle RPQ + m\angle PQR = 180\°, by substitution.

Step-by-step explanation:

We have

\angle 5 \cong \angle PQR by Alternate Interior Angles Theorem.

\angle 1 \cong \angle PRQ, by Alternate Interior Angle Theorem.

m\angle 1 + m\angle RPQ + m\angle 5 =180\°, by Definition of a Straight Angle and a Straight Angle postulate.

\therefore

m\angle PRQ + m\angle RPQ + m\angle PQR = 180\°, by substitution.

Now, remember that Alternate Interior Angles are those which are inside two parallels and different sides of the transversal line which intercept those parallels. Their theorem states that such angles are always congruent.

Then, the definition of a straight angle is that measures 180°, and its postulate is that adjacent angles on an straight angle must sum 180°, and they are supplementary.

vichka [17]3 years ago
7 0
M∠1 + m∠RPQ + m∠5 = 180° Definition of a Straight Angle

proof :  mes1= PRQ (alternate interior)

RPQ = 3 Opposite angle (vertex)
5 =Q  (alternate interior)
PRQ + RPQ + RQP = 180
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Answer:

知りません

Step-by-step explanation:

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3 years ago
Angelo earns $2,080 each month. His total deductions are 30% of his pay. How much is deducted from his pay each month? 
Fofino [41]
C. $693.33. Just round. It helps. Round 2,080 to 2,100. Then whats 30% of 2,100? It's easy just think of 21 divided by 3, which equals 7. So, 700 and the closest answers to that is $693.33. That's just the easy way instead of doing the math out. And it is also common sense that B or D wouldn't be it. So your left with C or A. :)
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3 years ago
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The Malcolms are taking a trip. Midville is 214 miles
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Answer:

642 miles

Step-by-step explanation:

Distance of Midville from their home = 214 miles

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How far is Walesburg from their home?

Distance of Walesburg from their home = 3 × Distance of Midville from their home

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8 0
3 years ago
Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. Later, she realized she did not have enough plants and bou
Anni [7]

Answer: the cost of each bush is $15

the cost of each flower is $2

Step-by-step explanation:

Let x represent the cost of each bush.

Let y represent the cost of each flower.

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12x + 30y = 240- - - - - - - - - - -1

Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as

7x + 10y = 125- - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 12, it becomes

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3 years ago
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Answer:

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Step-by-step explanation:

(z+1)(z+1)

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Calculate the product

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