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:
no
Step-by-step explanation:
fifty eight hundreths= 5,800
5.8<5,800
6w^2 - 21w + 10w - 35
3w( 2w - 7) + 5 ( 2w - 7)
(3w + 5) ( 2w - 7)
This is the factorised form.
First multiply 2x - 5 by 3 amd will open the brackets
3(2x-5)-4=33
6x - 15 - 4 = 33
6x - 19 = 33
Take -19 to other side and its sign will be become +
6x = 33 + 19
6x = 52
x = 8.6
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