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Mars2501 [29]
2 years ago
11

Select all the pairs that represent consecutive interior (or same-side interior) angles.

Mathematics
1 answer:
DedPeter [7]2 years ago
3 0

Answer:

angle 4 and angle 8

angle 3 and angle 5

Step-by-step explanation: the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles  

so, angle 4 and angle 8

and angle 3 and angle 5

are consecutive interior angles.

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What is the value of p?<br><br> A) 55<br><br> B) 45<br><br> C) 35<br><br> D) 125
Margarita [4]

Answer:

35

Step-by-step explanation:

just subtract 125 and 99

7 0
3 years ago
The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

4 0
3 years ago
What’s is a angle defined
Mashutka [201]

Answer:

the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

7 0
2 years ago
Which one don’t lie!!!
Travka [436]

Answer:

A

Step-by-step explanation:

m=y2-y1/x2-x1

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6-3=3

2/3

hope this helps =3

7 0
2 years ago
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mariarad [96]
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