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:
Finish your homework first (EVERYTHING) before videogames
Step-by-step explanation:
Step-by-step explanation:
Answer:
Number of T-SHIRT sold = x = 110
Number of sweatshirt = y = 40
Step-by-step explanation:
Let
Number of T-SHIRT sold = x
Number of sweatshirt = y
The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold.
x = 3y - 10
Cost of each T-SHIRT = $11
Cost of sweatshirt = $19
Total cost = $1,970
Total = x + y
1,970 = 11(3y - 10) + 19y
1970 = 33y - 110 + 19y
1970 + 110 = 33y + 19y
2080 = 52y
y = 2,080/52
y = 40
Substitute y = 40 into
x = 3y - 10
x = 3(40) - 10
x = 120 - 10
x = 110
Number of T-SHIRT sold = x = 110
Number of sweatshirt = y = 40
Answer:
7.64 miles/week
Step-by-step explanation:
there are 5280 feet in a mile
and 10080 minutes in a week
so it's
4 * 10080 / 5280
the two big numbers where just gougled
