Answer:
7z + 5 + 6z - 9 (Add 7z and 6z, subtract 9 from 5)
<em>13z - 4 </em>(Can't be simplified further)
X = 7 / sin(45)
x = 7 / sqrt(2)/2
x = 7 sqrt(2)
The sum of a number and 2
x + 2
is twice the number
2x
answer
<span>x + 2 = 2x</span>
3x + 5 + 4x =180
7x + 5 = 180
7x = 175
x = 25
3(25) + 5
75 + 5
80
KL = 80
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
