Answer:
54.
Step-by-step explanation:
8/6 = 72/ x where x is the number of raspberries.
8x = 6*72
8x = 432
x = 54.
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
Start by writing all of the pairs of numbers that go into 60
1 60
2 30
3 20
4 15
5 12
6 10
Then, look for the pair that has a difference of seven between the two numbers.
Your numbers are 5 and 12
Answer:
y = 6x - 24
Step-by-step explanation:
Slope intercept form: y = mx + b.
Fill in x, y, and the slope to solve for b as follows:
First find the slope.
60 - 6
14 - 5
54/9
Slope = 6
y = 6x + b
(6) = 6(5) + b
6 = 30 + b
Subtract 30 from both sides.
-24 = b
y = 6x - 24
