In the and#64257;gure below, triangle ABC is a 30andndash;60andndash;90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

ACT Exam > ACT Questions > In the ﬁgure below, triangle ABC is a ...

In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125^◦ , what is the measure of angle y?

a)
35^◦
b)
45^◦
c)
55^◦
d)
70^◦
e)
90^◦

Correct answer is option 'C'. Can you explain this answer?

Join for Free

Join for Free

Most Upvoted Answer

In the ﬁgure below, triangle ABC is a 30–60–90 righ...

The correct answer is c. Angles x and y are supplementary angles, so their sum is 180^◦ . Angle x is given as 125^◦ , so angle y is 180◦ − 125◦ = 55^◦ .

Answered by Orion Classes · View profile

View all answers Start learning for free

Explore Courses for ACT exam

Similar ACT Doubts

Directions:Read the passages and choose the best answer to each question.PassageSOCIAL SCIENCE: Defining the Poverty Line: A Political QuestionPoverty is an enduring problem that must beaddressed by all modern societies. In fact, some ethi-cists say a civilization can be judged by how well ittreats its least fortunate. By this measure, the United(5) States has much to be proud of. On a national level, theUnited States has done remarkable work to decrease thesuffering of the poor by subsidizing food, housing, andeducation, and even by giving money directly to thosewho need it the most. Still, even in the public sector,(10) projects have to be evaluated to see if they are effec-tive. No one can measure the benefits of aid withoutdefining what poverty is, and when someone has beenlifted out of it. This leads to one very political question:How exactly should poverty be measured?(15) The question of poverty is extremely complex.Should it be considered absolute—as a simple mat-ter of the availability of food and shelter—or shouldit be relative to the goods and services enjoyed by thesociety as a whole? In other words, if a person can(20) afford a DVD player but not to live in a safe neighbor-hood, is that person poor? Certainly something as fluidas the economy can affect any number of forces tocause financial suffering—sometimes quite suddenly.Still, according to our federal government, there is(25) a specific measure, the “poverty line,” that answersthe question. Such a measure was devised in 1963 bygovernment economist Mollie Orshansky, then work-ing for the Social Security Administration under thejurisdiction of the Office of Management and Budget.(30) Orshansky’s statistical measurement was onesmall part of the federal government’s plan to attack thedifficult national economic conditions that were hurt-ing millions of Americans in the early 1960s. PresidentLyndon Johnson labeled the plan the government’s(35) “War on Poverty,” and it led to such national programsas Head Start, VISTA, and the Jobs Corps. Orshanskydeveloped her poverty threshold from a Departmentof Agriculture study outlining the cost of nutritionallyadequate meals.(40) From the Agriculture study, Orshansky took themost economic and healthy meal design she couldfind. She then estimated statistically that the averageAmerican family in the 1950s spent approximately one-third of its household income on food; from there, she(45) multiplied by three the cost of the most economicallyefficient, nutritional diet. This multiplier effect, in the-ory, produced the level of pre-tax household incomeat or below which a family should be considered poor.Orshansky’s calculation was distributed for use across(50) the government, and the measure came to be knownas the poverty line. It has been scaled every year forinflation, and it is adjustable to household size.Given the decades-old origins of this measure andthe limited data available to Orshansky at the time, it is(55) fair to wonder if her standard is still accurate. Studiesshow that it is not. While families today spend about12 percent of their income on food—nowhere near the33 percent assumed in the 1950s—the cost of importantbudget items, such as housing, transportation, and(60) health care, has increased dramatically. Orshansky’spoverty measure, which only takes into account theability of a household to provide itself with food, ismissing several essential components to be accuratein modern society. With over $60 billion in federal aid(65) tied each year to this guideline, not to mention an addi-tional $260 billion in Medicaid spending, the fact ismany Americans are still falling deeper into povertyand failing to receive the aid they so desperately needand deserve.(70) If reform of the measure of poverty used by soci-ety is an obvious need, it remains to be seen why suchreform has not been forthcoming. The answer lies inthe very politics that caused the measure to be createdin the first place. Any change in the measured poverty(75) level of a society is an indicator of economic healthwithin that society, and no president has been willingto increase the perceived amount of poverty for a sta-tistical recalculation, no matter how justified. Indeed,some economists say that updating the poverty measure(80) would increase the number of those considered poor,and therefore eligible for government aid, by as muchas 2 percentage points. That may not seem significant,but in real terms it means an additional several millionpeople are living below the “poverty line”—whether(85) we count them or not.Q.In the context of lines 46–51, the statement “the measure came to be known as the poverty line” (line 51) is used to support the idea that

View answer

Directions: Read the passages and choose the best answer to each question.PassageThe photoelectric effect is the emission of electrons from matter upon the absorption of electromagnetic radiation, such as ultraviolet radiation or X-rays. Electromagnetic radiation is made up of photons, which can be considered ﬁnite packets of energy at various levels. Photons have properties attributed to both particles and waves. This phenomenon is known as the wave-particle duality.The photoelectric effect is especially noticeable when dealing with metals. When a metallic surface is exposed to electromagnetic radiation that is above the minimum energy threshold (which is speciﬁc to the type of surface and material), photons are absorbed and electrons are emitted. No electrons are emitted for radiation with energy frequencies below that of the threshold, as the electrons are unable to gain sufﬁcient energy to overcome the attractive forces within the metal. A scientist wishing to measure the photoelectric effect so as to further understand the nature of photons conducted the following experiments.Experiment 1Wishing to measure the energy required to produce the photoelectric effect on a surface of a sheet of copper, the scientist directed a beam of radiation at different frequencies (energies)—measured in Hertz (Hz)—onto the surface.After 5 minutes, the charge—measured in volts (V)—of the sheet of metal was recorded. This was done because if electrons were emitted from the surface, the metal would take on a positive charge. The results were recorded in Table 1.Experiment 2Solar cells used to generate electricity are based on the concept of the photoelectric effect; however, the goal of the cell is to capture the emitted electron and create an electric current. The scientist measured the effects of different frequencies (in Hz) of radiation on the current (in V) generated by a certain solar cell. The results were recorded in Table 2.Q.Suppose a scientist wanted to measure the effect of the atmosphere on the photoelectric effect. The scientist could learn most by doing which of the following?

View answer

Directions: Read the passages and choose the best answer to each question.PassageThe photoelectric effect is the emission of electrons from matter upon the absorption of electromagnetic radiation, such as ultraviolet radiation or X-rays. Electromagnetic radiation is made up of photons, which can be considered ﬁnite packets of energy at various levels. Photons have properties attributed to both particles and waves. This phenomenon is known as the wave-particle duality.The photoelectric effect is especially noticeable when dealing with metals. When a metallic surface is exposed to electromagnetic radiation that is above the minimum energy threshold (which is speciﬁc to the type of surface and material), photons are absorbed and electrons are emitted. No electrons are emitted for radiation with energy frequencies below that of the threshold, as the electrons are unable to gain sufﬁcient energy to overcome the attractive forces within the metal. A scientist wishing to measure the photoelectric effect so as to further understand the nature of photons conducted the following experiments.Experiment 1Wishing to measure the energy required to produce the photoelectric effect on a surface of a sheet of copper, the scientist directed a beam of radiation at different frequencies (energies)—measured in Hertz (Hz)—onto the surface.After 5 minutes, the charge—measured in volts (V)—of the sheet of metal was recorded. This was done because if electrons were emitted from the surface, the metal would take on a positive charge. The results were recorded in Table 1.Experiment 2Solar cells used to generate electricity are based on the concept of the photoelectric effect; however, the goal of the cell is to capture the emitted electron and create an electric current. The scientist measured the effects of different frequencies (in Hz) of radiation on the current (in V) generated by a certain solar cell. The results were recorded in Table 2.Q.Which of the following assumptions did the scientist probably make in choosing these experiments to test the nature of photons?

View answer

Directions: Read the passages and choose the best answer to each question.PassageThe photoelectric effect is the emission of electrons from matter upon the absorption of electromagnetic radiation, such as ultraviolet radiation or X-rays. Electromagnetic radiation is made up of photons, which can be considered ﬁnite packets of energy at various levels. Photons have properties attributed to both particles and waves. This phenomenon is known as the wave-particle duality.The photoelectric effect is especially noticeable when dealing with metals. When a metallic surface is exposed to electromagnetic radiation that is above the minimum energy threshold (which is speciﬁc to the type of surface and material), photons are absorbed and electrons are emitted. No electrons are emitted for radiation with energy frequencies below that of the threshold, as the electrons are unable to gain sufﬁcient energy to overcome the attractive forces within the metal. A scientist wishing to measure the photoelectric effect so as to further understand the nature of photons conducted the following experiments.Experiment 1Wishing to measure the energy required to produce the photoelectric effect on a surface of a sheet of copper, the scientist directed a beam of radiation at different frequencies (energies)—measured in Hertz (Hz)—onto the surface.After 5 minutes, the charge—measured in volts (V)—of the sheet of metal was recorded. This was done because if electrons were emitted from the surface, the metal would take on a positive charge. The results were recorded in Table 1.Experiment 2Solar cells used to generate electricity are based on the concept of the photoelectric effect; however, the goal of the cell is to capture the emitted electron and create an electric current. The scientist measured the effects of different frequencies (in Hz) of radiation on the current (in V) generated by a certain solar cell. The results were recorded in Table 2.Q.Suppose that the rate of the photoelectric effect is directly proportional to the surface area of the metal exposed. Using a larger sheet of copper metal in Experiment 1 would most likely have affected the results in what way?

View answer

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

View answer

Top Courses for ACTView all

Top Courses for ACT

View all

In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer?.

Solutions for In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.

Here you can find the meaning of In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the ﬁgure below, triangle ABC is a 30–60–90 right triangle. If angle x measures 125 , what is the measure of angle y?a)35b)45c)55d)70e)90Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice ACT tests.

Explore Courses for ACT exam