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tigry1 [53]
2 years ago
13

3. Segment GE is an angle bisector of both

Mathematics
1 answer:
777dan777 [17]2 years ago
4 0

ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

<em><u>Recall:</u></em>

  • A segment that divides an angle into equal parts is known as an angle bisector.
  • Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.

In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles,  ∠HEG ≅ ∠GEF.

Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.

Both triangles also share a common side, GE

<em>This implies that: ΔHGE and ΔFGE have:</em>

two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE

a shared side - GE

Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).

Learn more about ASA Congruence Theorem on:

brainly.com/question/82493

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Solve for the inequality -6× - 17&gt; 8× + 25
adelina 88 [10]

Step-by-step explanation:

- 6x - 17 > 8x + 25 \\  - 6x - 8x > 17 + 25 \\  - 14x > 42 \\  \frac{ - 14x}{14}  >  \frac{42}{14}  \\  - x > 3 \\ x  <  - 3

8 0
3 years ago
I need help with this! I'll mark Brainliest if it's correct.
Sauron [17]
Answers:
Coordinates of H are: (a,a)
The slope of segment GJ is: -1
The product of the slopes of the diagonals is: -1

-------------------------------------------------------

Explanation:

Point J has an x coordinate of x = a
Point G has a y coordinate of y = a
So point H has the coordinates (x,y) = (a,a)
We simply move straight up from point J to get to H. At the same time, we move horizontally across to go from G to H. This is why H has half the coordinates from each J and G

----------

As for the slope of GJ, we use the slope formula
m = (y2-y1)/(x2-x1)
m = (0-a)/(a-0)
m = -a/a
m = -1
So that shows why the slope of GJ is -1

Multiplying the slope of KH (1) and the slope of GJ (-1), we get
1 times -1 = -1
The product being -1 shows the diagonals KH and GJ are perpendicular. They form a 90 degree angle. 
5 0
3 years ago
Reduce the ratio 14:63
Svetlanka [38]
14:63 

Divide both numbers to get the most simple ratio.

14/7 = 2
63/7 = 9

2:9          is our final answer
5 0
3 years ago
Read 2 more answers
What number when added to 1 1/3 is 2
erma4kov [3.2K]

Answer:

2/3 or .66 repeated

Step-by-step explanation:

1 1/3= 1.33

1.33 + .66..7 is 2

5 0
2 years ago
Read 2 more answers
One of the most fiercely debated topics in sports is the hot hand theory. The hot hand theory says that success breeds success.
Korvikt [17]

Answer:

The answer to the question is

The theory of the hot hand is valid in my opinion.

Step-by-step explanation:

The phenomenon of a "hot hand" is that a person who achieves a successful outcome at an attempt has a higher probability of coming out successful in subsequent attempts at the same event.

Based on evidence from the sampled statistics, the likelihood of achieving an increased probability of success on subsequent attempt on the condition that previous attempts were successful in my opinion is plausible. This is because the ability to score points at a game is dependent on several variables, all of which are from previous occurrence, such dependent variables include

1.  The inherent ability of the sport athlete to deliver the required input for success. This is a conditional probability for success as such this forms part of the increased acceptance level for the  "hot hand" phenomenon

2. Conditions of play may favor a particular probability than others resulting in a change in the mean, and the standard deviation of the distribution resulting in a skewed outcome

3. Increased opportunity giving to the athlete that previously had a successful attempt possibly by the athlete himself by way of confidence, the audience by way of focus on the outcome of the athletes attempt, and the administrators by way of trying to make it achievable and hence easier within the rules for the athlete have a successful attempt

The "hot hand" (also known as the "hot hand phenomenon" or "hot hand fallacy") is the purported phenomenon that a person who experiences a successful outcome has a greater chance of success in further attempts. The concept is often applied to sports and skill-based tasks in general and originates from basketball, whereas a shooter is allegedly more likely to score if their previous attempts were successful, i.e. while having "hot hands.” While previous success at a task can indeed change the psychological attitude and subsequent success rate of a player, researchers for many years did not find evidence for a "hot hand" in practice, dismissing it as fallacious. However, later research questioned whether the belief is indeed a fallacy.[1][2] Recent studies using modern statistical analysis show there is evidence for the "hot hand" in some sporting activities.[2]

7 0
3 years ago
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