2 21. During a science experiment, a chemist boils a liquid and then sets it on the lab
table and records the temperatures as it cools. The graph shows y, the
temperature in degrees Centigrade, and x is the number of minutes after the
liquid is set on the table.
Liquid Temperature
у
Temperature (°C)
120
1000
80
60
40
20
х
0 5 10 15 20 25 30 35 40 45
Time (minutes)
Which equation is the best model for this data?
A. y = 100(0.75)
B. y = (0.75)* + 100
c. y = 80(0.75)* + 20
D. y = 20(0.75)* + 80

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a

/

step-by-step explanation:

the answer is 8/21

hope this