<h2>
Answer and Explanation to questions 13,14,15</h2>
13) 
as given in the question.
14) 
Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.
15) 
and 
. So, 
<h2>
Answer and Explanation to questions 16,17,18</h2>
∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°
And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.
∠3 + ∠1 = 180° .............(i)
∠1 + ∠2 = 180° .............(ii)
subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)
15) ∠3 is supplementary to ∠1 as given in the question
16) ∠2 is supplementary to ∠1 as shown be equation (ii)
18) ∠3 ≅ ∠2 as shown by equation (iii)
<h2>
Answer and Explanation to questions 19</h2>
∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)
∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)
subtracting equation (i) and (ii)
∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)
∠3 + ∠4 - ∠4 - ∠5 = 180°-180°
∠3 - ∠5 = 0
∴ ∠3 = ∠5 (Hence Proved)
Answer:
-9
Step-by-step explanation:
with the equation y=mx+b, m equals the slope and b equals the y-intercept. whatever is in the place of m is the slope. in this case, -9.
Answer:
A. <u>Distance of the lightning after 4 seconds = 744,000 miles</u>
<u>B. Distance of the lightning after n seconds = 186,000 * n</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed of lightning = 186,000 miles per second
Speed of sound = 750 miles per hour
2. A. If you see a flash of lightning, then hear the thunder 4 seconds later, how far away is the lightning?
Distance of the lightning after 4 seconds = 186,000 * 4
<u>Distance of the lightning after 4 seconds = 744,000 miles</u>
<u>B. Now let’s generalize that result. Suppose it takes n seconds to hear the thunder after a flash of lightning. How far away is the lightning, in terms of n?</u>
<u>Distance of the lightning after n seconds = 186,000 * n</u>
