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GalinKa [24]
3 years ago
11

I need help 22 points to whoever helps me

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

12 3/4 same slope fro both

13 DE = 5, CB = 10

14 see below

Step-by-step explanation:

12.  the slopes are the same

D(0, 3)  E(4, 6) slope is (change in y)/(change in x)

   change in y = 3 to 6 is a change of +3

   Change in x = 0 to 4 is a change of +4

slope is 3/4

13  To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)  

DE² = 3² + 4²

DE² = 9 + 12

DE² =  25

√DE² = √25 = 5

DE = 5

and

CB² = 6² + 8²

CB² = 36 + 64

CB² = 100

√CB² = √100 = 10

CB = 10

14.   since the slopes are the same are DE is 1/2 or CB its is the mid segment.  because (taken from mathopenref.com/trianglemidsegment.html)

The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.

The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.

A triangle has three possible midsegments, depending on which pair of sides is initially joined.

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Please help !! using the image above match each pair of angles with the correct relationship
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9514 1404 393

Answer:

  • Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
  • Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
  • Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
  • Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
  • Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}

Step-by-step explanation:

"Alternate" means the angles are on opposite sides of the transversal.

"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.

"Exterior" means the angles are outside the parallel lines.

"Interior" means the angles are between the parallel lines.

"Corresponding" means the angles are in the same direction from the point of intersection.

  • Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
  • Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
  • Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
  • Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
  • Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}

4 0
3 years ago
Factors of 130 with an exponent
xz_007 [3.2K]
130 =

2 *  5  *  13

The prime factors are 2, 5, and 13.

No prime factors are used more than once.

The only exponents to write might be the understood 1.

130 = 2^1  *  5^1  *  13^1
4 0
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