X must be increased by 6 to get its value to be 0. Then the corresponding change in y will be (-2/3)*6 = -4. That value added to -5 makes it -9.
The y-intercept will be -9.
The y-intercept will be -9.
kevin has $26 wants to rent bicycle.The bicycle rents for $6.25per hour. How many hours can kevin ride without owing more money
2 answers:
Answer:
Step-by-step explanation:
Since Kevin only has $26 and the bicycle rends for $6.25 per hours this means that:
6.25h ≤ 26
Where h represents hours $6.25 is the slope (rate) at which Kevin is being charged and $26 is the amount of money he has.
By solving for the inequality above we obtain:
This means that Kevin can ride the bike for less than or equal to 4.16 hours. Now that means 4 hours and 16% of an hour, let's calculate what 16% of an hour is equal to. Since we know that there are 60 minutes in an hour and 16% is 0.16 (since 16÷100=0.16) in decimals we obtain:
60×0.16=9.6 minutes
This means 9 minutes and 60% of a minute, so we will calculate how much is 60% of a minute:
60×.6=36 seconds
Therefore, Kevin can ride this bike for less than or equal to 4 hours 9 minutes and 36 seconds.
~~~Brainliest is appreciated~~~
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Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of congruent angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ∠1 and ∠2 are supplementary Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180° (1) Definition of supplementary angles
m∠1 + m∠3 = 180°
3. (2) m∠1 + m∠2 = m∠1 + m∠3 Transitive Property
4. (3) m∠2 = m∠3 Subtraction property of equality
5. ∠2 ≅ ∠3 (4) Definition of congruent angles
Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°
Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°
∴ ∠1 + ∠2 = 180° = ∠1 + ∠3
∠1 + ∠2 = ∠1 + ∠3
∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1
∴ ∠2 = ∠3
∴ ∠2 ≅ ∠3, by definition of congruent angles.