Mathematics, 21.09.2020 14:01 kayla114035
It is given that segment AB is parallel to segment CD and points E, G, H, and F are collinear. The measure of ∠EGF is 180°, by the definition of a straight angle. ∠AGE and ∠AGF are adjacent, so the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠EGF, by the Angle Addition Postulate. Then, substituting for the measure of ∠EGF it can be said that the measure of ∠AGE plus the measure of ∠AGF equals 180°. , so the measure of ∠CHE plus the measure of ∠AGF equals 180°. Substituting once again means that the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠CHE plus the measure of ∠AGF. The measure of ∠AGE is equal to the measure of ∠CHE . Finally, by the definition of congruence, ∠AGE is congruent to ∠CHE. ∠CHE and ∠AGF are alternate interior angles; using the Addition Property of Equality ∠CHE and ∠AGF are alternate interior angles; using the Subtraction Property of Equality ∠CHE and ∠AGF are same-side interior angles; using the Subtraction Property of Equality ∠CHE and ∠AGF are same-side interior angles; using the Addition Property of Equality
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Describe the symmetry of the figure. identify lines of symmetry, if any. find the angle and the order of any rotational symmetry.
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Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.
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It is given that segment AB is parallel to segment CD and points E, G, H, and F are collinear. The m...
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