Answer:
x = 22/15
Step-by-step explanation:
17x - 6 + 3x - 5 = x + 11 + 4x
Combine like terms on each side.
20x - 11 = 5x + 11
Add 11 to both sides. Subtract 5x from both sides.
15x = 22
Divide both sides by 15.
x = 22/15
Answer:
x(x−1)(x+4)
Step-by-step explanation: there are no like terms
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:
x = 3.255 cm
Step-by-step explanation:
Given:
⇒ y = 10cm
⇒ θ = 19
To find:
⇒ Value of "n"
Solution
⇒ By Pythagoras theorem
⇒ Δ Sin θ = n/y
⇒ sin 19° = n/10
⇒ 0.3255 = n/10
⇒ n = 0.3255 × 10
⇒ n = 3.255 cm
Hence, the answer is = n = 3.255 cm.
