Answer:
The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C
Step-by-step explanation:
If two parallel lines intersected by a line, then there are some pair of angles are formed
- Corresponding angles that are congruent
- Alternate interior angles that are congruent
- Alternate exterior angles that are congruent
- Consecutive interior angles that are supplementary
In the given figure
∵ Lines l and m are parallel
∵ They are cut by transversal p
∵ ∠2 and ∠3 are in the corresponding position
→ By using the 1st rule above
∵ Corresponding angles are congruent
∴ ∠2 ≅ ∠3
∴ m∠3 = m∠2
∵ m∠2 = 40°
∴ m∠3 = 40°
The statement which justifies Andrea's statement is "Corresponding angles are congruent"
Answer:
5677
Step-by-step explanation:
2100 +1477 = 3577
2100+3577= 5677
$4.5 since 1.26/7 is .14 and need 25 so it’s 4.5
Number 19 you are comparing one measurement to another. Since it says 1/2 inch equals 4 ft, we want to find out how many more inches are needed if the given scale was 2/3 = 4 ft. Now lets find a common denominator for both scales stated in inches. We have 2/3 inch and 1/2 inch. Our denominator are the bottom parts of the fraction where we need to find a common factor for the denominator so we can add or subtract fractions. We have a 3 and a 2. You may always use the multiplication between two denominators to find a common factor such as 3 times 2 which equals 6 for both denominators. Now we multiplied the 3 by 2 to get 6 so the top part (numerator needs to be multiplied the the 2 because we changed the bottom part by 2 as well. You should notice that when you reduce your fraction now 4/6 is 2/3. Just a self check example there. As for 1/2 we multiplied a 3 to get 6 for the denominator so we need to multiply the numerator by 3 as well. You now should have 4/6 and 3/6. Since the question asks for how many more inches we need to subtract 4/6 from 3/6 and we get 1/6 inch for our answer.
Answer:
The large sample n = 190.44≅190
The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44
<u>Step-by-step explanation</u>:
Given population proportion was estimated to be 0.3
p = 0.3
Given maximum of error E = 0.04
we know that maximum error
The 85% confidence level 
now calculation , we get
√n=13.80
now squaring on both sides n = 190.44
large sample n = 190.44≅190
<u>Conclusion</u>:-
Hence The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44
