answer: 2 × 2 × 2 × 2 × 2 = 32
Step-by-step explanation:
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:
<u>XZ = 25</u>
<u>X</u><u>Y = 5</u>
Step-by-step explanation:
XZ = XY + YZ
XZ = (1/5XZ) + 20
XZ - (1/5XZ )= 20
4/5 XZ = 20
5/5 XZ = (20 ÷ 4) × 5
XZ = <u>25</u>
XY = 1/5 × 25
= <u>5</u>
What is the specific problem? There are vertically listed numbers, but no necessary equation. Please let me know what the problem is and i’ll be happy to help :)