Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
Answer:
First Image: Option D
Second Image: Option D
Third Image: Option C
Fourth Image: Option B
Fifth Image: Option B
Step-by-step explanation:
<u>First Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 47 = 133°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
<u>Second Image:</u>
- A triangle angles adds up to 180°
- Two angles are already given
- 72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Third Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 110 = 70°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fourth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 120 = 60°
- we are shown a right angle which = 90°
- A triangle adds up to 180°
- 180 - 90 - 60 = 30
- ? = 30°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fifth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 85 = 95°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
Learn more about Triangles here: brainly.com/question/4186813
You regroup because the 4 in 64 plus the 3 in 43 equals 7, then you move onto the tens place, and 60 plus 40 equals 100, so that is how. Your answer is 107.
Answer:
Step-by-step explanation:
Let the cost of the Uber ride be represented by y in dollars.
Let the number of miles that the Uber rides be represented by x.
The equation relating x and y is expressed as
y = 2/3x + 4.
This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.
The cost of a 21 mile ride will be
Substituting x = 21 into the given equation, it becomes
y = 2/3 × 21 + 4 = 14 + 4 = 18
The 21 mile ride costs $18
Part B) The $46 ride will cost
Substituting y = 46 into the given equation, it becomes
46 = 2x/3 + 4 =
46 - 4 = 2x/3
42 = 2x/3
2x = 42 × 3 = 126
x = 126/2 = 63
The $46 ride will be 63 miles
