Hi there!
Let's go through each option one-by-one.
A - Angle 1 cannot be equal to angle 3 because it is given that they are complementary. This option is INCORRECT.
B - Angle 2 and angle 3 cannot be supplementary because they are both less than 90 degrees. This option is INCORRECT.
C - By the substitution property, angle 2 would be complementary to angle 3. Since angle 1 equals angle 2, and we know that angle 1 is complementary to angle 3, we can substitute in angle 2 for angle 3. This option is CORRECT.
D - Angle 2 is not equal to angle 3 because in the given it states that angle 2 is equal to angle 1. This option is INCORRECT.
Therefore, the correct answer is option C.
Hope this helps!! :)
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Answer:
It would take 19 hours and 36 minutes until there are 1040 bacteria present.
Step-by-step explanation:
Given that in a lab experiment, 610 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 23 hours, to determine how long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present, the following calculation must be performed:
610X = 1040
X = 1040/610
X = 1.7049
2 = 23
1.7049 = X
1.7049 x 23/2 = X
39.2131 / 2 = X
19.6 = X
100 = 60
60 = X
60 x 60/100 = X
36 = X
Therefore, it would take 19 hours and 36 minutes until there are 1040 bacteria present.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have to, if two lines are parallel then their slopes are equal.
We have the following equation of the line:
We manipulate algebraically to convert to the slope-intersection form:
Thus, , then a parallel line will have a slope
Answer:
The slope is:
Answer:
49.5 units²
Step-by-step explanation:
The applicable formula is ...
Area = 1/2·ab·sin(C) = (1/2)·15·13·sin(30.5°) ≈ 49.48499
≈ 49.5 . . . square units
Answer:
10
Step-by-step explanation:
45-35= 10