x =2 y =8
2x + 2y=20
2x=20-2y
x=10-y
Ahora len la otra ecuacion remplazamos x por (10-y)
-2(10-y)-6y=-52
-20+2y-6y=-52
2y-6y= -32 (-52+20= -32)
-4y=-32
-y=-8
y=8 x=10-y x=2
2*2+2*8=20
4+16=20
-2*2-6*8= -52
-4-48= -52
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:
Step-by-step explanation:
The first time the basketball bounces it reaches a height of 
.
The second time the basketball bounces it reaches a height of ![(0.722) (0.722) (6) = [(0.722) ^ 2] (6)](https://tex.z-dn.net/?f=%280.722%29%20%280.722%29%20%286%29%20%3D%20%5B%280.722%29%20%5E%202%5D%20%286%29)
. Therefore, after b rebounds the height that the basketball will reach is given by:
Answer:
Step-by-step explanation:
The shape consists of three parts: a half sphere, a round cylinder and a round cone.
The half sphere volume = 1/2 * 4/3 * π * (4)^3
= 32/3 π
The round cyllinder volume = π * (4)^2 * 10
= 160 π
The round cone volume = 1/3 * π * (4)^2 * 3
= 16 π
Adding them together, the volume of shape
= 32/3 π + 160π + 16π
= (32/3 + 160 + 16)*3.14
= 586.13
Similarly the surface area
= (4π4^2)/2 + 2π4*10 + π*4*5
= (32+80+25)*3.14
= 430.18
Order from lest to greatest -5/6, -7/10, -3/5.
