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.
Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
Answer:
45
Step-by-step explanation:
You just do 370-325
Answer:
0.7
Step-by-step explanation:
2,3,4,6,8,9,10 are the possible choices.
∴P(even no. or multiple of 3)
= 7/10
Answer:
Pierre has enough boards and nails to make 9 tables and 5 chairs.
Step-by-step explanation:
