Answer:
$26
Step-by-step explanation:
To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.
Francesca can be represented by the following equation:
Phil can be represented by the following equation:
As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26.
m∠a = 56°, m∠b = 34°, m∠c = 56°
Solution:
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ m∠a + 124° = 180°
⇒ m∠a = 180° – 124°
⇒ m∠a = 56°
∠a and ∠c are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠a ≅ ∠c
⇒ m∠a = m∠c
⇒ m∠c = 56°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠b + 90° + m∠c = 180°
m∠b + 90° + 56° = 180°
m∠b + 146° = 180°
m∠b = 180° – 146°
m∠b = 34°
Hence m∠a = 56°, m∠b = 34°, m∠c = 56°.
Answer:the distance between the two cities is 100 miles
Step-by-step explanation:
Let x represent the distance between New York and Philadelphia.
Let t represent the time it takes to travel from New York to Philadelphia at 50 mph
Distance speed × time
time = distance/speed
To travel from New York to Philadelphia at 50 mph,
x = 50t
it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that
x = 60(t - 1/3) = 60t - 20
Since the distance is the same,
60t - 20 = 50t.
60t - 50t = 20
10t = 20
t = 20/10 = 2
Therefore
x = 50t = 50 × 2 = 100 miles
62 multiplied by 3 is 186
Add on 31 for the half hour
and you get 217
First you separate them, the x’s in one side and whole numbers on the other then simplify
