Answer:
Step 3.
m∠ AEB = m∠ CED .........By Vertical Angles Theorem.
Step-by-step explanation:
Vertical Angles Theorem:
Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.
If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.
Here,
∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.
∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.
For,
step 3. m∠ AEB = m∠ CED
Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.
Answer:
There are 75 pencils and 25 pens.
Step-by-step explanation:
If Tom has three times as many pencils than pens then,
Pencils = 3(Pens)
If there are a total of 100 writing utensils then,
Pencils + Pens = 100
Substitute the word "pencils" in this equation to 3(Pens),
3(Pens) + Pens = 100
Now remember there is almost a 'hidden' one beside the word "Pens" so,
3Pens + 1Pens = 100
Add the two together,
4Pens = 100
Divide,
Pens = 25
Substitute 25 into the first equation,
Pencils = 3(25)
Pencils = 75
Thus, there are 75 pencils and 25 pens.
v₀ = initial velocity of the freight train while it approach a road crossing = 16 km/h = 16 (5/18) m/s = 4.44 m/s
v = final velocity of the freight train after it crosses a road crossing = 65 km/h = 65 x 5/18 m/s = 18.06 m/s
t = time to do so = 10 min = 10 x 60 sec = 600 sec
acceleration is given as
a = (v - v₀ )/t
a = (18.06 - 4.44)/(600)
a = 0.023 m/s²
a = 294
