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Stells [14]
3 years ago
13

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.

Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

The answer in the attached figures

Step-by-step explanation:

we know that

When two lines are crossed by another line, the angles in matching corners are called Corresponding Angles. If the lines are parallel then the corresponding angles are congruent

see the attached figure N 1  

When two lines are crossed by another line, the pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles. If the lines are parallel then the alternate interior angles are congruent.

see the attached figure N 2  

Vertical Angles are the angles opposite each other when two lines cross  

see the attached figure N 3      

When two lines are crossed by another line, the pair of angles on the outer side of each of those two lines but on opposite sides of the transversal, are called Alternate Exterior Angles. If the lines are parallel then the alternate exterior angles are congruent.

see the attached figure N 4      

When two lines are crossed by another line, the pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. If the lines are parallel then the consecutive interior angles are supplementary.

see the attached figure N 5      

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Answer:

           \bold{a=5\,,\quad b=-4\frac27}

Step-by-step explanation:

5+\frac{2\sqrt3}7+4\sqrt3=5+\frac27\sqrt3+4\sqrt3=5+4\frac27\sqrt3=5-(-4\frac27)\sqrt3

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Is 0.03 greater than, less than, or equal to 1/100?
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Can sombody please help me with this math problem?
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2.  -11=2/3x - 3

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a) The vertices A, B, C of a triangle are (2, -1, -3), (4, 2, 3) and (6, 3, 4) respectively. Show that AB = (2,3,6) and AC = 9.​
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... a triangle are 2,-1,-3 4,2,3 and 6,3,4 respectively. If vector AB=2,3,6 vector AC=4,4,7 vector BC=2,1,1 , show that AB=7 AC=9 and BC= square root of 6.

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3 years ago
During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth
tigry1 [53]

Answer:

It will take Sarah 2 1/2 hours to mow 10 lawns

It will take Sarah 1 2/3 hours to clean 10 pools

Step-by-step explanation:

During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

Number of lawns : Time to mow lawns = 6 : 1 1/2

= 6 : 3/2

Number of lawns : Time to mow lawns = 10 : x

6 : 3/2 = 10 : x

6 ÷ 3/2 = 10/x

6 * 2/3 = 10/x

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Cross product

12 * x = 3 * 10

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x = 30/12

x = 2 6/12

x = 2 1/2 hours

It will take Sarah 2 1/2 hours to mow 10 lawns

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6 = 10/x

Cross product

6 * x = 10

6x = 10

x = 10/6

x = 1 4/6

x = 1 2/3 hours

It will take Sarah 1 2/3 hours to clean 10 pools

3 0
3 years ago
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