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Andrews [41]
3 years ago
11

What is the answer please?

Mathematics
1 answer:
Inga [223]3 years ago
3 0

I hope this helps you

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Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each ang
xz_007 [3.2K]

The angle relationship and their reasons are:

  • m∠HED = m∠FEJ ---> Vertical angles theorem
  • m∠KFE = m∠DEH ---> Alternate interior angles theorem
  • m∠LFG = m∠DEH ---> Alternate exterior angles theorem
  • m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
  • m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
  • m∠LFG + m∠GFK = 180 ---> linear pair

The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:

∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are  equal based on the vertical angles theorem.

  • m∠HED = m∠FEJ ---> Vertical angles theorem

∠KFE and ∠FEJ are alternate interior angles, therefore, they are  equal based on the alternate interior angles theorem.

  • m∠KFE = m∠DEH ---> Alternate interior angles theorem

∠LFG and ∠FEJ are alternate exterior angles, therefore, they are  equal based on the alternate exterior angles theorem.

  • m∠LFG = m∠DEH ---> Alternate exterior angles theorem

∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.

  • m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem

∠DEJ and ∠EFL are corresponding angles, therefore, they are  equal based on the corresponding angles theorem.

  • m∠DEJ = m∠EFL ---> Corresponding interior angles theorem

∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.

  • m∠LFG + m∠GFK = 180 ---> linear pair

Learn more about angle relationship on:

brainly.com/question/12591450

4 0
2 years ago
Solve the compound inequality. Graph the solution<br> -2 ≤ 2x – 4 &lt; 4
Ulleksa [173]
-2 \ \textless \ = 2x - 4 \ \textless \  4 

-2+4\ \textless \ 2x\ \textless \ 4+4&#10; &#10;  Add \ 4 \ to \ the \ whole \ equation 

&#10;2\ \textless \ 2x\ \textless \ 8&#10; &#10;  Simplify \ inequality 

1\ \textless \ x\ \textless \  \dfrac{8}{2} Divide \ the \ whole \ equation \ by \ 2 

&#10;1\ \textless \ x\ \textless \ 4&#10; &#10; = (1,4)
5 0
3 years ago
Can someone like help
Wewaii [24]
You haven't shared all of the possible answers.  The graph you've shared has a y-intercept of 4, which differs from the y-intercept of <span>y=−1/2x+8.

Go on to the other 3 possible answers.  Which answer shows a y-intercept of 8 and a slope of -1/2?</span>
3 0
3 years ago
Okay here are more math problems.
Vinil7 [7]

Answer:

the inequality would be, b/3<=16

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the slope of the linear function represented in<br> the table?<br> -7<br> -1/7<br> 1/7<br> 7
rewona [7]

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

7 0
3 years ago
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