X = 3
2(4x - 3) - 8 = 4 + 2x
1. Distribute
8x - 6 - 8 = 4 + 2x
2. Collect like terms
8x - 14 = 4 + 2x
3. Collect like terms again (add 14 and subtract 2x)
6x = 18
4. Divide by 6
x = 3
Answer: The time is 20:15 on a military time clock.
Step-by-step explanation:
Answer:
8:07 am
Step-by-step explanation:
It takes 9 minutes to walk from his house to the bus station. It then takes 92 minutes for the bus to travel from Birmingham to Coventry. After arriving, he takes 12 minutes to reach his workplace. This takes a total of 113 minutes.
9 + 92 + 12 = 113
Convert 113 minutes to hours and minutes.
113 - 60 = 53
1 hr and 53 min
He has to be at work by 10. Subtract the time it takes to get to his work by the time he has to get there.
10 - 1 hr = 9
9 - 53 min = 8:07
The latest time he can leave is 8:07.
Give a reason for each step of the proof.
Given: <1 and <2 are complimentary
<1 is congruent to <3,
<2 is congruent to <4
Prove: <3 and <4 are complimentary
Statements: Reasons:
1. <1 and <2 are complimentary 1.Given
2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>
3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______
4. m<1=m<3, m<2=m<4 4.<u>DEFINITION OF CONGRUENT ANGLES_</u>
5. m<3 + m<2=90* 5. <u>SUBSTITUTION PROPERTY (m<1 is replaced by m<3.) </u>
6. m<3 +m<4=90* 6. <u>DEFINITION OF COMPLEMENTARY ANGLES </u>
7. <3 and <4 are complimentary 7.<u> DEFINITION OF COMPLEMENTARY ANGLES</u>
Answer:
-3/5
Step-by-step explanation:
