Answer:
G. Carla, Brenda, Marci, Susan
Step-by-step explanation:
The time given for all participants are in decimals except for that of Marci and Carla which are given in the form of mixed fractions.
Convert the mixed fractions into decimals, then compare the figures together to do the ranking.
Marci =
Carla =
The first four finishers from the 1st to the 4th are:
1. Carla - 46.9
2. Brenda - 46.97
3. Marci - 46.98
4. Susan - 47.21
The measure of angle BOC is 41 degrees
<h3>How to determine the measure of BOC?</h3>
The angles are given as:
<AOD = (5x - 4)° and BOC = (4x + 5)°
The angles are vertical angles.
So, we have:
(5x - 4)° = (4x + 5)°
Remove the bracket
5x- 4 = 4x + 5
Collect the like terms
5x - 4x = 4 +5
Evaluate the like terms
x = 9
Substitute x = 9 in BOC = (4x + 5)°
BOC = (4 * 9 + 5)°
Evaluate
BOC = 41°
Hence, the measure of angle BOC is 41 degrees
Read more about vertical angles at:
brainly.com/question/14362353
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<u>Complete question</u>
Lines ac and bd intersect at point o. If <AOD = (5x - 4)° and BOC = (4x + 5)°, what is <BOC?
The answer to this question is 64m
Answer:
Solving the inequality we get b <= 1
Step-by-step explanation:
We need to solve the inequality
solving the inequality:
Subtracting 6 on both sides
subtracting 14 b on both sides
Divide both sides by -3 and the inequality will be changed to less than equal i.e <=
So, solving the inequality we get b <= 1
Answer:
B
Step-by-step explanation:
Given
x² + 14x = 51
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(7)x + 49 = 51 + 49 , that is
(x + 7)² = 100 ( take the square root of both sides )
x + 7 = ± = ± 10 ( subtract 7 from both sides )
x = - 7 ± 10
Thus
x = - 7 - 10 = - 17
x = - 7 + 10 = 3