Linear Pair
Linear Pair - Related Videos
04:01
VSEPR Theory and the Effect of Lone Pairs
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2020
Effect of Lone Pairs of Electrons on Molecule Geometry It is important to note that electron-pair geometry around a central atom is not the same thing as its molecular structure. Molecular structure describes the location of the atoms, not the electrons. The geometry that includes all electron pairs is the electron-pair geometry. The electron-pair geometries describe all regions where electrons are located, bonds as well as lone pairs. The structure that includes only the placement of the...
02:27
DNA Base Pairing
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2020
Erwin Chargaff’s rules on DNA equivalence paved the way for the discovery of base pairing in DNA. Chargaff’s rules state that in a double-stranded DNA molecule, the amount of adenine (A) is equal to the amount of thymine (T); the amount of guanine (G) is equal to the amount of cytosine (C); and the sum of purines, A and G, is equal to the sum of pyrimidines, C and T (i.e., A+G = C+T). Later work by Watson and Crick revealed that in double-stranded DNA, A always forms two hydrogen bonds...
10:00
Methods of Pairing and Pair Maintenance of New Zealand White Rabbits (Oryctolagus Cuniculus) Via Behavioral Ethogram, Monitoring, and Interventions
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Cited by 5 •
2018
Though European rabbits are a social species, socially housing them can be challenging. Therefore, there must be a thorough understanding of behaviors and social structures of pair-housed laboratory rabbits. Here we present a protocol to identify pairing methods, species-typical hierarchy establishment behaviors and behaviors that warrant appropriate intervention.
06:35
Linearization of the Bradford Protein Assay
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Cited by 319 •
2010
The accuracy and sensitivity of protein determination by the rapid and convenient Bradford assay is compromised by intrinsic nonlinearity. We show a simple linearization procedure that greatly increases the accuracy, improves the sensitivity of the assay about 10-fold, and significantly reduces interference by detergents.
01:17
Sign Test for Matched Pairs
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2025
The sign test for matched pairs offers a robust method for comparing two paired samples, often for the effects of an intervention in one of them. This method is very useful in situations where the underlying distribution of the data is unknown. The test compares two related samples—often pre- and post-treatment measurements on the same subjects—to determine if there are significant differences in their median values. To conduct the sign test, we first calculate the differences in value between...
FAQs
The angle measures can be modeled with the equation x + y = 180°. If one measure is known, isolate the unknown by subtracting the known value from 180°. This algebraic form turns the geometric relationship into a direct calculation and helps check whether a proposed pair of angle measures is consistent with the straight-angle constraint.
Because their total remains 180°, increasing one angle measure forces the other to decrease by the same amount. For example, if one measure rises by 10°, the other must fall by 10° to preserve the straight-angle total. This relationship is useful when diagrams show changing or partially labeled angles.
Within a proof, identifying a linear pair supplies a justified supplementary-angle statement rather than relying on the drawing’s appearance. A solver can state that the two measures total 180°, then combine that equation with other given relationships. This supports formal reasoning in figures containing intersecting lines, polygons, or transversals.
To solve an unknown, first locate the two adjacent angles that share a side and together lie on the straight angle. Record the known measure, write the supplementary equation, and subtract from 180°. Finally, substitute the result back into the equation to confirm that both measures total 180°.
Linear pairs help verify angle relationships in complex diagrams. In a polygon or a figure with a transversal, a solver can use a labeled angle to calculate its partner, then use that result in additional angle equations. The resulting values provide a way to check whether the diagram’s stated relationships are mutually consistent.
In mathematics, the concept connects computation with proof. Students can use linear pairs to justify supplementary angles, while more advanced work can incorporate those statements when analyzing parallel-line relationships. The key outcome is a chain of supported angle equations, allowing an unknown measure or a claimed geometric relationship to be verified systematically.