Answer:
no solution
Step-by-step explanation:
24 + 6k < -6(-4-k)
Distribute
24+6k< 24 +6k
Subtract 6k from each side
24 < 24
This is never true so there are no solutions
Answer:
As per the statement: A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees.
⇒Let number of tickets Employees have x and Number of ticket Listeners have 4x
It is also, given that a radio station had 205 ticket to a concert.
⇒ 
Then, substitute the given values we have;
Combine like terms, we have;
Divide both sides by 5 we have;
x = 41
Therefore, number of tickets did they give away to employees have 41 tickets
Answer:
110
Step-by-step explanation:
80 + 30
= 110
Answer:
The circumference is 56.52 m
Step-by-step explanation:
Eugene likely made the mistake of doubling the diameter thinking that it was the radius which gave the answer double the actual one. The equation for finding a circumference is C=
D where d is equal to the diameter and c is the circumference. All you do is multiply 18 and 3.14 to get your answer.
Answer:
- 109°, obtuse
- 131°, obtuse
- 53°, acute
- 124°, obtuse
Step-by-step explanation:
You are exected to know the relationships of angles created where a transversal crosses parallel lines.
- Corresponding angles are equal (congruent).
- Adjacent angles are supplementary, as are any linear pair.
- Opposite interior (or exterior) angles are equal (congruent).
The appearance of the diagram often gives you a clue.
You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.
1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.
2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.
3. Opposite interior angles are equal, so w will be 53°. It is acute.
4. Corresponding angles are equal, so x will be 124°. It is obtuse.
