The given option that has molecules that are solid at room temperature is; D: Saturated Fats
<h3>Molecules at room temperature </h3>
Fatty acids are organic compounds that are poorly soluble in water but soluble in organic solvents.
The two main types of fatty acids are Saturated fatty acids and Unsaturated fatty acid.
Saturated fatty acids contains no double bond in their carbon chains and as such they are solids at room temperature.
Meanwhile, Unsaturated fatty acids contains double bonds in their carbon chains and are thus liquids at room temperature.
The missing options are;
A) Both saturated and unsaturated fats
B) Cholesterol
C) Saturated fats
D) Unsaturated fats
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As the elements of group 17 are considered in order of increasing atomic number, there is an increase in ATOMIC RADIUS. It is a measure of the size of the atoms.
<h3>What is the atomic radius?</h3>
The atomic radius can be defined as a measure of the size of the atoms of a given chemical element.
The atomic radius can be calculated as the mean distance from the center of an atomic nucleus to the shells of the negatively charged electrons.
The atomic radius is considered for solid elements since this measurement can vary according to the states of matter.
Learn more about the atomic radius here:
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Answer:
7) x = 9°
8) x = 5°
9) x = 10°
10) x = 12°
Explanation:
7) By the angle subtended at the center is twice the angle subtended at the circumference, we have;
∠JLM = ∠JKV = 55°/2 = 27.5°
Similarly;
∠JML = ∠JVK = (18·x + 13)/2 = 9·x + 6.5
By exterior angle theory, we have;
13·x - 2 = 27.5 + 9·x + 6.5 = 9·x + 34
13·x - 9·x = 34 + 2 = 36
4·x = 36
x = 36/4 = 9
x = 9°
8) By the theorem angle formed on the outside of the circle by a tangent and a secant is equal to the difference of the arcs formed in between by the intercept of the tangent and the secant and the circle multiplied by half
Therefore;
8·x + 8 = (1/2) × (170° - (15·x - 1))
8·x + 8 = 85° - 7.5·x + 1/2
8·x +7.5·x = 85° - 8 + 1/2 = 77.5°
15.5·x = 77.5
x = 77.5°/15.5 = 5°
x = 5°
9) ∠TEU = ∠TWV = 175°/2 = 87.5°
∠TUU = ∠TYV = (5·x - 5)/2 = 2.5·x - 2.5
115° = 87.5° + 2.5·x - 2.5 = 90° + 2.5·x
2.5·x = 115° - 90° = 25°
x = 25°/2.5 = 10°
x = 10°
10) The measure of the intercepted arc formed by a chord is equal to twice the measure of the angle the chord forms with a tangent it intersects at the tangent point;
21·x + 18 = 2 × (The supplementary angle to ∠STU)
The supplementary angle to ∠STU = 180° - 45° = 135°
∴ 21·x + 18 = 2 × 135° = 270°
21·x = 270 - 18 = 252
x = 252/21 = 12
x = 12°.
Based on the construction, the length of the bridge deck is given by r = √(x² + y²) units.
<h3>What is a deck?</h3>
A deck is also referred to as the roadway and it can be defined as the functional area which is designed and developed to allow automobile vehicles and pedestrians to cross highways, valleys, and water bodies.
In order to determine the length of the bridge deck, we would apply Pythagorean's theorem as follows:
r² = x² + y²
<u>Where:</u>
- r is the length of the bridge deck.
- a is the adjacent side (horizontal distance).
- b is the opposite side (rise of the bridge).
Making r the subject of formula, we have:
r = √(x² + y²)
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