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
Leya [2.2K]
2 years ago
12

Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i

s made up of two opposite rays.
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°

needs to be a actual two column proof with statements and reasons. im just not really understanding it

Mathematics
2 answers:
kramer2 years ago
6 0

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

Brums [2.3K]2 years ago
4 0

Answer:

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Step-by-step explanation:

Listed in the above answer!

You might be interested in
What is the point slope equation of a line with slope -5 that contains the point (6,3)
ehidna [41]

Step-by-step explanation:

Given

Slope (m) = -5

Point

(x1 , y1) = ( 6 , 3)

So the equation is

y - y1 = m ( x - x1)

y - 3 = -5 ( x - 6)

y - 3 = -5x +30

5x + y = 30 + 3

5x + y = 33

5x + y - 33= 0

Which is the required equation.

Hope it will help you :)

3 0
3 years ago
How do you tell if a number is irrational or rational?
Korvikt [17]
A rational number is any number that can be expressed as a fraction
(ex: -5/2, 4 1/7, and 8/13)

An irrational number is any number that cannot be expressed as a fraction; a non-repeating, non-terminating decimal (ex: pi, 0.121231234...)

Hope this helps! :)
6 0
3 years ago
Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s powe
vovangra [49]

Answer:

1.3\cdot 10^3\text{ J}

Step-by-step explanation:

Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:

W=Fd, where F = force applied and d = distance that force is applied over.

*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.

In this case, the force applied must counter the force of gravity on Martha, which is given by F_g=mg, where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, F_g=75\cdot 9.8=735\text{ N}. Since she raises her body 4.0 meters, the work done must be W=Fd=735\cdot 4=2940\text{ J}.

Since power is equal to work over time and t = 2.3 seconds, we have:

\displaystyle P=\frac{W}{t}=\frac{2940}{2.3}=\boxed{1278\text{ J}}\approx \boxed{1.3\cdot 10^3\text{ J}} (to two significant figures)

7 0
1 year ago
un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar
seraphim [82]

Answer:

10 cuadrados

Step-by-step explanation:

Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.

28 - 8 = 20cm

20cm / 2cm = 10cm

Ahora que tenemos todas las medidas podemos multiplicar el largo por el ancho para calcular el area del rectangulo

10cm * 4cm = 40cm^{2}

el cuadrado de 2cm tendra un area de

2cm * 2cm = 4cm^{2}

Ahora simplemente dividimos el area del rectangulo por el area del cuadrado para saber cuantos cuadrados necesitamos para armar ese rectangulo

40cm^{2} / 4cm^{2} = 10 cuadrados

3 0
2 years ago
What if its "greater than 9"
goblinko [34]

Answer:

its gotaa be a number thats atleast 10

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ME ASAP!!! Convert 65,000,000 to scientific notation. 6.5 ⋅ 106 6.5 ⋅ 107 6.5 ⋅ 10−6 6.5 ⋅ 10−7
    8·1 answer
  • What fraction does each month have of a year
    8·1 answer
  • If x +37+78 what is x
    13·1 answer
  • Whats the best lil peep song lol
    9·2 answers
  • I need help with this
    8·2 answers
  • A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When cons
    6·1 answer
  • the temperature at 6 pm in frost frozen antarctica was -37 if the tem dropped 8 1 /2 c uring the next hour what was the the temp
    9·1 answer
  • What's the mean median and range of 7, 1, 1, 7, 1, 4, 1??
    13·1 answer
  • A parcel weighs two thousand three hundred and forty grams. An item weighing seven hundred grams is removed from the parcel. Wha
    10·1 answer
  • Correlation coefficients can test ______ variable(s) at a time. a. two or more b. only one c. one or more d. only two
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!