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Anastaziya [24]
2 years ago
8

Angles PTQ and STR are vertical angles and congruent.

Mathematics
1 answer:
iren [92.7K]2 years ago
4 0

9514 1404 393

Answer:

  (a)  QP and SR

Step-by-step explanation:

The congruent central angles intercept congruent arcs QP and SR. Chords of congruent arcs are congruent.

chords QP and SR are congruent

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Pete can type 80 words in the same time that Ralph can type 50 words. If they type at those rates
tamaranim1 [39]

Answer:

After the extended period of time, Pete would have typed 6400  words.

Step-by-step explanation:

Given the data in the question;

In the same time;

number typed word of Pete = 80

type word of Ralph = 50

After a period time;

number of typed word of Pete = ?

number of typed word of Ralph = 4000

so, let x represent the number of typed word by Pete after an extended period.

so

80 words = 50 words

x words =    4000 words

we cross multiply

x × 50 = 4000 × 80

x = ( 4000 × 80 ) / 50

x = 320000 / 80

x = 6400

Therefore, After the extended period of time, Pete would have typed 6400  words.

3 0
3 years ago
In circle J with \text{m} \angle HLK= 30^{\circ}m∠HLK=30
olga2289 [7]

Answer:

The minor arc HK is 60 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The inscribed angle is half that of the arc it comprises.

so

m\angle HLK=\frac{1}{2}(arc\ HK)

we have

m\angle HLK=30^o

substitute the given value

30^o=\frac{1}{2}(arc\ HK)

arc\ HK=60^o

Remember that the measure of the minor arc must be less than 180 degrees

therefore

The minor arc HK is 60 degrees

8 0
3 years ago
Pina has two equations that she found to be valuable models for her research. She thinks that if she can find the solution of th
Valentin [98]
Answer is parallel lines
Reason - same slope (3x) and different y intercept means they will be parallel lines because their slope is the same but they will cross the y axis at different points.

I changed the first equation to y intercept form
y = 3x - 10 to match the other equation
y = 3x - 6
3 0
2 years ago
If Mark gets 150 free miles, how many miles will he be charged for with these two odometer readings: 29,582 and 30,283?
lapo4ka [179]
He will be charged for 551 miles.

30283-29582=701 miles traveled in the rental vehicle.

150 of those miles are free; 701-150 = 551 miles he will be charged for.
8 0
3 years ago
Read 2 more answers
Twenty percent of the ice melted. If 680 grams<br> remained, how many grams melted?
musickatia [10]

Answer:

−33999/50

Step-by-step explanation:

2/100−680

=

1/50−680

=

−33999/50

5 0
3 years ago
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