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
Answer:
Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.
Step-by-step explanation:
y = 2/3x + 1
Substitute different numbers for x, and find y:
You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number
x = 6
y = 2/3(6) + 1
y = 12/3 + 1
y = 4 + 1
y = 5
Point: (6, 5)
x = -6
y = 2/3(-6) + 1
y = -12/3 + 1
y = -4 + 1
y = -3
Point: (-6, -3)
Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.
The answer should be that 6250 farms are owned by men.
The temperature was in the range of 10-13 on 7 of the days.
Give it the weight of the middle of the range = 11.5 for 7 times = 80.5
The temperature was in the range of 14-17 on 9 of the days.
Give it the weight of the middle of the range = 15.5 for 9 times = 139.5
The temperature was in the range of 18-21 on 16 of the days.
Give it the weight of the middle of the range = 19.5 for 16 times = 312
The temperature was in the range of 22-25 on 22 of the days.
Give it the weight of the middle of the range = 23.5 for 22 times = 517
The temperature was in the range of 26-29 on 6 of the days.
Give it the weight of the middle of the range = 27.5 for 6 times = 165
Total weight for all ranges = (80.5 + 139.5 + 312 + 517 + 165) = 1,214
Total number of days = 60
Estimated mean temperature = (1,214) / (60) = <u>20.23°C </u>
Answer:
0.83 miles per minute
Step-by-step explanation:
Please kindly check the attached files for details.
