Answer:
a) 1820 ways
b) 43680 ways
Step-by-step explanation:
When the order of the choices is relevant we use the permutation formula:
is the number of different permutations of x objects from a set of n elements, given by the following formula.
When the order of choices is not relevant we use the combination formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this problem, we have that:
(a) How many ways can this be done, if the order of the choices is not relevant?
(b) How many ways can this be done, if the order of the choices is relevant?
Linear pair angles, which are angles that together form a straight line are
supplementary angles.
The one that completed the proof incorrectly is <u>Becky</u>.
Reasons:
The two column proof is presented as follows;
Statement 
Reason
1. Segment GH intersects segment AB at K 1. Given
2. m∠AKG + m∠HKB = 180° 2.Definition of Supplementary Angles
m∠GKB + m∠HKB = 180°
3. m∠AKG + m∠HKB = m∠GKB + m∠HKB 3. Substitution property
4. m∠AKG = m∠HKB 4. Subtraction Property
The difference between Angie's Proof and Becky's Proof is in Statement 2.
- Angie states that; m∠AKG + m∠HKB = 180° and m∠GKB + m∠HKB = 180° by definition of Supplementary Angles
- Becky states that; m∠AKG + m∠HKB = 180° and m∠GKB + m∠HKB = 180° by Angle Addition Postulate
Becky's proof is incorrect because the measure of angles m∠AKG and
m∠HKB and m∠GKB and m∠HKB are not given, therefore, the use of the
reason of Angle Addition Postulate in statement 2. is incorrect.
Learn more here:
brainly.com/question/13204208
Answer:
C. horizontal line that is 33.8 units
Step-by-step explanation:
We assume your equation should be ...
The largest denominator in this standard-form equation of an ellipse is under the y-term, so the major axis is vertical. The directrix will be a horizontal line.
The distance from the center to the directrix is always longer than the semi-major axis, so will be more than √169 = 13. This only leaves choice C.
__
If "c" is the center-to-focus distance, it will be the root of the difference of the denominators in the equation:
c = √(169 -144) = 5
For semi-major axis "a", the distance from the center to the directrix is ...
a²/c = (13²)/5 = 33.8 . . . . . matches choice C
1/2 because 7/6 & 4/3 are improper fractions(fractions that have a higher numerator than a denominator) and 3/3 should just be written as 1.
