Answer: the decimal should still be there but you don’t want to have a zero so 3.42 would be correcr
Step-by-step explanation:
Answer:
Factor by which kinetic energy increase = 4 times
Step-by-step explanation:
Given,
- Mass of the car, v1 = 1500 kg
- initial speed of car = 35 miles/h

= 15.64 m/s
Initial kinetic energy of the car is given by,


= 183606.46 J
- Final velocity of car v2 = 70 miles/hour

= 31.29 m/s
So, final kinetic energy of car is given by


= 734425.84 J
Now, the ratio of final to initial kinetic energy can be given by,

Hence, the kinetic energy will increase by 4 times.
<4 ≅ <1, 3 <≅ 2 Corresponding angles postulate
ΔACE ≈ ΔBCD Angle angle similarity postulate
(CB + BA)/CB = (CD + DE)/CD Substitution property of equality
Answer: "No, the triangles are not necessarily congruent." is the correct statement .
Step-by-step explanation:
In ΔCDE, m∠C = 30° and m∠E = 50°
Therefore by angle sum property of triangles
m∠C+m∠D+m∠E=180°
⇒m∠D=180°-m∠E-m∠C=180°-30°-50°=100°
⇒m∠D=100°
In ΔFGH, m∠G = 100° and m∠H = 50°
Similarly m∠F +∠G+m∠H=180°
⇒m∠F=180°-∠G-m∠H=180°-100°-50=30°
⇒m∠F=30°
Now ΔCDE and ΔFGH
m∠C=m∠F=30°,m∠D=m∠G=100°,m∠E=m∠H=50°
by AAA similarity criteria ΔCDE ≈ ΔFGH but can't say congruent.
Congruent triangles are the pair of triangles in which corresponding sides and angles are equal . A congruent triangle is a similar triangle but a similar triangle may not be a congruent triangle.