Answer:
Difference between average day temperature and average night temperature = 70°
Step-by-step explanation:
Given;
Average day temperature = 43° C
Average night temperature = -30° C
Find:
Difference between average day temperature and average night temperature
Computation:
Difference between average day temperature and average night temperature = Average day temperature - Average night temperature
Difference between average day temperature and average night temperature = 43 - (-30)
Difference between average day temperature and average night temperature = 70°
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>
Evaluating each expression means to simplify the expression down to it's simplest form.
Answer:
15 days
Step-by-step explanation:
Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.
In 1 day,
- A completes
of all work; - B completes
of all work.
Hence, in 1 day both A and B complete
of all work. A and B working together can do a work in 6 days. Then

Solve this equation:

If
then
that is impossible. So, B needs 15 days to complete the work alone.
Answer:
20
Step-by-step explanation:
(6x3=18) (6x1/3=2) (18+2=20)