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In the figure below, ABCD is a trapezoid. Point E lies on line AD, and angle measures are as marked. What is the measure of angle BDC ?
  • a)
    25◦
  • b)
    30◦
  • c)
    45◦
  • d)
    55◦
  • e)
    100◦
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In the figure below, ABCD is a trapezoid. Point E lies on line A...
The correct answer is b. To find the measure of ∠BDC in the figure, it is helpful to recognize that the sides BC and AD are parallel (definition of trapezoid) and are connected by the transversal BD. ∠CBD and ∠ADB are alternate interior angles, and thus are equal and both measure 25◦. Because A, D, and E all lie along the same line, ∠ADE = 180◦ .
Because ∠ADE is made up of ∠ADB, ∠BDC, and ∠CDE , you know that the measures of these three angles add up to 180◦ .If x is the unknown angle measure, then 25◦ + x + 125◦ = 180◦ ; thus x is equal to 30◦.
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Most Upvoted Answer
In the figure below, ABCD is a trapezoid. Point E lies on line A...
The correct answer is b. To find the measure of ∠BDC in the figure, it is helpful to recognize that the sides BC and AD are parallel (definition of trapezoid) and are connected by the transversal BD. ∠CBD and ∠ADB are alternate interior angles, and thus are equal and both measure 25◦. Because A, D, and E all lie along the same line, ∠ADE = 180◦ .
Because ∠ADE is made up of ∠ADB, ∠BDC, and ∠CDE , you know that the measures of these three angles add up to 180◦ .If x is the unknown angle measure, then 25◦ + x + 125◦ = 180◦ ; thus x is equal to 30◦.
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Directions:Read the passages and choose the best answer to each question.PassageCertain preservatives known as sulfites are often added to fruit products to keep the fruit fresher longer. Use of sulfites is controversial because studies have linked sulfites to severe reactions in some asthmatics. Students performed 2 experiments to measure sulfite levels.Experiment 1Four solutions, each containing a different amount of sulfite dissolved in H2 O were prepared. A coloring agent was added that binds with sulfite to form a red compound that strongly absorbs light of a specific wavelength, and each solution was diluted to 100 mL. A blank solution was prepared in the same manner, but no sulfite was added. A colorimeter (a device that measures how much light of a selected wavelength is absorbed by a sampl e) was used to measure the absorbance of each solution. The absorbances were corrected by subtracting the absorbance of the blank solution from each reading (see Table 1 and Figure 1).Experiment 2A 100 g fruit sample was ground in a food processor with 50 mL of H2O and the mixture was filtered. The food processor and remaining fruit were then washed with H2O, these washings were filtered, and the liquid was added to the sample solution. The coloring agent was added and the solution was diluted to 100 mL. The procedure was repeated for several fruits, and the absorbances were measured (see Table 2).Q.If Experiments 1 and 2 were repeated using a different coloring agent that produces a different color when it binds with sulfite, which of the following changes in procedure would be necessary?

Directions:Read the passages and choose the best answer to each question.PassageCertain preservatives known as sulfites are often added to fruit products to keep the fruit fresher longer. Use of sulfites is controversial because studies have linked sulfites to severe reactions in some asthmatics. Students performed 2 experiments to measure sulfite levels.Experiment 1Four solutions, each containing a different amount of sulfite dissolved in H2 O were prepared. A coloring agent was added that binds with sulfite to form a red compound that strongly absorbs light of a specific wavelength, and each solution was diluted to 100 mL. A blank solution was prepared in the same manner, but no sulfite was added. A colorimeter (a device that measures how much light of a selected wavelength is absorbed by a sampl e) was used to measure the absorbance of each solution. The absorbances were corrected by subtracting the absorbance of the blank solution from each reading (see Table 1 and Figure 1).Experiment 2A 100 g fruit sample was ground in a food processor with 50 mL of H2O and the mixture was filtered. The food processor and remaining fruit were then washed with H2O, these washings were filtered, and the liquid was added to the sample solution. The coloring agent was added and the solution was diluted to 100 mL. The procedure was repeated for several fruits, and the absorbances were measured (see Table 2).Q.Based on the results of Experiments 1 and 2, if the measured absorbances for the fruits tested in Experiment 2 were compared with their corrected absorbances, the measured absorbances would be

Directions:Read the passages and choose the best answer to each question.PassageCertain preservatives known as sulfites are often added to fruit products to keep the fruit fresher longer. Use of sulfites is controversial because studies have linked sulfites to severe reactions in some asthmatics. Students performed 2 experiments to measure sulfite levels.Experiment 1Four solutions, each containing a different amount of sulfite dissolved in H2 O were prepared. A coloring agent was added that binds with sulfite to form a red compound that strongly absorbs light of a specific wavelength, and each solution was diluted to 100 mL. A blank solution was prepared in the same manner, but no sulfite was added. A colorimeter (a device that measures how much light of a selected wavelength is absorbed by a sampl e) was used to measure the absorbance of each solution. The absorbances were corrected by subtracting the absorbance of the blank solution from each reading (see Table 1 and Figure 1).Experiment 2A 100 g fruit sample was ground in a food processor with 50 mL of H2O and the mixture was filtered. The food processor and remaining fruit were then washed with H2O, these washings were filtered, and the liquid was added to the sample solution. The coloring agent was added and the solution was diluted to 100 mL. The procedure was repeated for several fruits, and the absorbances were measured (see Table 2).Q.If some of the water-soluble contents found in all of the fruits tested in Experiment 2 absorbed light of the same wavelength as the compound formed with sulfite and the coloring agent, how would the measurements have been affected? Compared to the actual sulfite concentrations, the sulfite concentrations apparently measured would be

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In the figure below, ABCD is a trapezoid. Point E lies on line AD, and angle measures are as marked. What is the measure of angle BDC ?a)25b)30c)45d)55e)100Correct answer is option 'B'. Can you explain this answer?
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