1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
6

Compare the quantity in column A with the quantity in column B. Choose the best answer.

Mathematics
2 answers:
STatiana [176]3 years ago
7 0

Hi

The answer is B

The quantity in Column B is greater.

andrey2020 [161]3 years ago
7 0

Answer:  the quantity in column B is greater.


Explanation:


<em>To compare the quantity in column A with the quantity in column B</em>, two figures are attached.


The first figure is the graph showing two intersecting lines forming four angles: two pairs of vertical angles.


The angles formed and their measures are:

  • m∡AOB: 91°
  • ∡DOC is vertical angle with ∡AOB so they are congruent: ∴ m∡DOC = m∡AOB = 91°.
  • ∡AOD and ∡AOB are linear pair angles, so they are supplementary: m∡AOD + m∡AOB = 180° ⇒ m∡AOD = 180° - m∡AOB = 180° - 91° = 89°
  • ∡COB and ∡AOD are vertical angles, so they are congruent: m∡COB = m∡AOD = 89°.

<em>To Compare the quantity in column A with the quantity in column B</em>, let's first summarize the results:


Angle                      Measure

∡AOB ≅ ∡DOC         91°

∡AOD ≅ ∡BOC         89°


<em>The quantities to compare in column A and column B </em>are in the second figure and they are:


Column A            Column B

m∡AOD                m∡DOC

89°                        91°              ← by substitution of above results

Conclusion: the quantity in column B is greater.


You might be interested in
The manager of a bookstore ordered 480 copies of a book. The manager paid a total of $7,440 for the books. The books arrived at
alexdok [17]

<span>There are lots of given in this certain item and we are to note that other given are just there to distract us. In order to answer the question, what we really need from the given is that there are 480 copies of books and they arrived in 5 cartons. To determine the number of books in each carton, we just have to divide 480 by 5 which gives us an answer of 96. </span>

5 0
3 years ago
Read 2 more answers
An secondary school have 250 students 30% in the First grade secondary and 35% Second grade secondary.
MaRussiya [10]

Answer:

Third grade secondary = 87 students

Step-by-step explanation:

First grade = 30/100 x 250 = 75 students

Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.

Third grade = 250 - 88 - 75 = 87 students

4 0
4 years ago
Read 2 more answers
Solve:<br> 4x+6&lt;-6<br> Need step by step answer
Gelneren [198K]

Answer:

all work is pictured and shown

4 0
4 years ago
Read 2 more answers
What the awnser pls help
nikitadnepr [17]

it looks like its

1,1

6 0
3 years ago
Read 2 more answers
Find a second solution y2(x) of<br> x^2y"-3xy'+5y=0; y1=x^2cos(lnx)
rosijanka [135]

We can try reduction order and look for a solution y_2(x)=y_1(x)v(x). Then

y_2=y_1v\implies{y_2}'=y_1v'+{y_1}'v\implies{y_2}''=y_1v''+2{y_1}'v+{y_1}''v

Substituting these into the ODE gives

x^2(y_1v''+2{y_1}'v+{y_1}''v)-3x(y_1v'+{y_1}'v)+5y_1v=0

x^2y_1v''+(2x^2{y_1}'-3xy_1)v'+(x^2{y_1}''-3x{y_1}'+5y_1)v=0

x^4\cos(\ln x)v''+x^3(\cos(\ln x)-2\sin(\ln x))v'=0

which leaves us with an ODE linear in w(x)=v'(x):

x^4\cos(\ln x)w'+x^3(\cos(\ln x)-2\sin(\ln x))w=0

This ODE is separable; divide both sides by the coefficient of w'(x) and separate the variables to get

w'+\dfrac{\cos(\ln x)-2\sin(\ln x)}{x\cos(\ln x)}w=0

\dfrac{w'}w=\dfrac{2\sin(\ln x)-\cos(\ln x)}{x\cos(\ln x)}

\dfrac{\mathrm dw}w=\dfrac{2\sin(\ln x)-\cos(\ln x)}{x\cos(\ln x)}\,\mathrm dx

Integrate both sides; on the right, substitute u=\ln x so that \mathrm du=\dfrac{\mathrm dx}x.

\ln|w|=\displaystyle\int\frac{2\sin u-\cos u}{\cos u}\,\mathrm du=\int(2\tan u-1)\,\mathrm du

Now solve for w(u),

\ln|w|=-2\ln(\cos u)-u+C

w=e^{-2\ln(\cos u)-u+C}

w=Ce^{-u}\sec^2u

then for w(x),

w=Ce^{-\ln x}\sec^2(-\ln x)

w=C\dfrac{\sec^2(\ln x)}x

Solve for v(x) by integrating both sides.

v=\displaystyle C_1\int\frac{\sec^2(\ln x)}x\,\mathrm dx

Substitute u=\ln x again and solve for v(u):

v=\displaystyle C_1\int\sec^2u\,\mathrm du

v=C_1\tan u+C_2

then for v(x),

v=C_1\tan(\ln x)+C_2

So the second solution would be

y_2=x^2\cos(\ln x)(C_1\tan(\ln x)+C_2)

y_2=C_1x^2\sin(\ln x)+C_2x^2\cos(\ln x)

y_1(x) already accounts for the second term of the solution above, so we end up with

\boxed{y_2=x^2\sin(\ln x)}

as the second independent solution.

6 0
4 years ago
Other questions:
  • 7 + n / 6................​
    12·1 answer
  • Giving a test to a group of students, the grades and gender are summarized below
    8·1 answer
  • Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1
    13·1 answer
  • noah is thinking of a number when i multiply it by 5 and subtract by 40 the answer is 50 what is the number
    7·2 answers
  • Last season a Major League Baseball player got 160 hits in 200 times at bat. If the player expects to bat 400 times in the entir
    5·1 answer
  • You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at
    15·1 answer
  • What is the solution for −5x = 25?
    5·2 answers
  • Which expression is equivalent to this polynomial expression?<br> (2x^5 + 3y^4)(-4x^2 + 9y^4)
    6·2 answers
  • Which models show 60%? Check all that apply.
    13·3 answers
  • A class room of 10m long and 5 m wide has two windows of size 15 mx 1 m and a door of 1.5 m ×2 m. The cost of making the 4 walls
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!