Answer:
Since angle d, a, and e are supplementary, d+a+e =180 degrees.
Given that line LK and BC are parallel
By the alternate interior angle theorem, e=c and d=b.
Substitute:
d+a+e=b+a+c=180
Since b+a+c is the sum of the angles of triangle ABC, the sum of the interior angle of triangle ABC (which could be any triangle of any size and shape) is 180 degrees.
Answer:your question seems incomplete but if you looking to find the resulting equation to solve for temperature at a particular time you can use this 28t^2
Step-by-step explanation:
F'(t) = 7(0.8)t
Integrating the RHS
Temp= integral of f'(t)= 28t^2
Therefore, T(°c)= 28t^2
Answer:
The answer is below
Step-by-step explanation:
1) -3x = 42
Divide both sides by -3
-3x/ -3 = 42 / -3
x = -14
Answer: p.x=-14
2)

Answer: j. x=54
3) 5x = 105
Divide both sides by 5
5x/ 5 = 105 / 5
x = 21
Answer: n. x=-21
4) x+37=-25
add -37 to both sides
x+37 - 37 =-25 - 37
x = -62
Answer: d. x=-62
5) x-42=-15
add 42 to both sides
x-42 + 42 =-15 + 42
x = 27
Answer: k. x=27
6)x - (-12) = -4
x + 12 = -4
add -12 to both sides:
x + 12 - 12 = -4 - 12
x = -16
Answer: f. x = -16
7) x - (-6) = 5
x + 6 = 5
add -6 to both sides:
x + 6 - 6 = 5 - 6
x = -1
Answer: r. x = -1
8)8-x = -12
8 - x + x + 12 = -12 + x = 12
x = 8 + 12
x = 20
Answer: c) x = 20
9) -9 - x = -6
x = -9 + 6
x = -3
Answer: s. x =-3
10) -6 + x = 17
x = 17 + 6
x = 23
Answer: a. x =23
11)

Answer: b. x = -378
12) -16 = x - 8
x = -16 + 8
x = -8
Answer: q. x = -8
13) -25 = x + 17
x = -25 - 17
x = -42
Answer: h. x = -42
14) 36 = 8 - x
x = 8 - 36
x = -28
Answer: g. x = -28
15) -x + 6 = 11
x = 6 - 11
x = -5
Answer: m. x = -5
16) -x + 8 = 4
x= 8 - 4
x = 4
Answer: e. x =4
17) 16 = 4 -x
x = 4 - 16
x = -12
Answer: o: x = -12
18) 85 = -5x
x = 85/ -5
x = -17
Answer: l. x= -17
19) 21 = -x/7
x = 21 * -7
x = -147
Answer: i. x = -147
Answer:
The margin of error increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter, the larger the margin error.
Step-by-step explanation:
Margin of Error is a statistical measure of random sampling error insurvey results.
Level of confidence reflects percentage range around sample mean, that can be expected to contain population actual parameter.
High level of confidence means larger range band of confidence interval, supposed to contain the population parameter. This further implies high expected variation between sample statistic & actual parameter i.e Margin Error increases.