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:
y = -¼│x − 5│+ 3
Step-by-step explanation:
y = a│x − h│+ k
(h, k) is the vertex of the absolute value graph. In this case, it's (5, 3).
y = a│x − 5│+ 3
One point on the graph is (1, 2). Plug in to find the value of a.
2 = a│1 − 5│+ 3
2 = 4a + 3
a = -¼
Therefore, the graph is:
y = -¼│x − 5│+ 3
Answer:
8.5
Step-by-step explanation:
Given the expression 12.75/1.5. The technique in solving the division expression is as shown
First we can write the decimals as fraction as shown;
12.75 = 1275/100
1.5 = 15/10
12.75/1.5 = (1275/100)÷(15/10)
12.75/1.5 = 1275/100×10/15
12.75/1.5 = 1275/10 × 1/15
12.75/1.5 = 1275/150
12.75/1.5 = 8.5
Hence the result of the division is 8.5
Okay so you do p(x) -q(x) and you get (x)^2-5x hope this helps. (Also hope that trigonometry I'm taking comes through lol)
Answer:
Step-by-step explanation:
Original 873 New 781
The new went down by about 10.5%
873*10.5%= 91.67
873-91.67= 781.33
It decreased 10.5%
