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
mixer [17]
3 years ago
13

Which reason justifies the following statement?

Mathematics
2 answers:
amid [387]3 years ago
3 0

Answer:

(A) Complements of the same  angle are congruent.

Step-by-step explanation:

Since, ∠CEF is complementary to ∠DCF, therefore

∠CEF+∠DCF=90°                                 (1)

Also, ∠CEG=∠CEF+∠FEG

⇒90°=∠CEF+∠FEG                              (2)

Therefore, from(1) and (2), we get

∠CEF+∠DCF=90°    

∠CEF+∠FEG=90°

Subtracting both the equations, we get

  ∠DCF-∠FEG=0

∠DCF=∠FEG.

Hence, ∠DCF≅∠FEG by the rule: Complements of the same  angle are congruent.

mafiozo [28]3 years ago
3 0

Answer; Complements of the same angle are congruent.

You might be interested in
Solve For X<br> (see picture below) <br><br> thank you!
Dmitriy789 [7]

Answer:

x = 6

Step-by-step explanation:

<em>If </em><em>two secants</em><em> are drawn from</em><em> a point outside </em><em>the circle, then the </em><em>product</em><em> of the lengths of</em><em> one secant </em><em>and its</em><em> external segment</em><em> equals the </em><em>product </em><em>of the lengths of</em><em> the other secant </em><em>and its</em><em> external segment</em><em> </em>

Let us solve the question.

∵ There is a circle in the given figure

∵ There are two secants intersected at a point outside the circle

∵ The length of one of them = 8

∵ The length of its external segment = x

∵ The length of the other secant = 4 + 8 = 12

∵ The length of its external segment = 4

→ By using the rule above

∴ 8 × x = 12 × 4

∴ 8x = 48

→ Divide both sides by 8

∴ x = 6

6 0
3 years ago
Find a point-slope form for the line with slope 1/5 and passing through the point (-2,- 7).
snow_tiger [21]

Answer:

point slope form is y-y1 = m(x-x1) which is y+7= 1/5(x + 2)

3 0
3 years ago
If a graph passes the horizontal line test, but not the vertical line test, is it still a function?
nydimaria [60]

If a graph fails the vertical line test it's not a function; you can't have a single x map to two ys.

Vice versa, if the graph passes the verticle line test, it's a function.  

The horizontal line test tests for injectivity aka one-to-one-ness; it has no bearing on whether something's a function.

8 0
3 years ago
at a particular school 50% of students travel by bus. if this represents 600 children how many children attend the school
hichkok12 [17]

Answer:

1200 students at the school

Step-by-step explanation:

Let x be the total number of students at the school

50% ride the bus

600 students ride the bus

x*50% = 600

Changing to decimal form

.50x = 600

Divide each side by .5

.50x/.5 = 600/.5

x =1200

1200 students at the school

4 0
3 years ago
Read 2 more answers
At a baseball game, 6 hotdogs cost $27. What is the cost of 1 hotdog? How many hotdogs can you buy for $18
Sergio [31]

Answer:

What is the cost of 1 hotdog?

Answer: $4.50

How many hotdogs can you buy for $18?

Answer: 4

Step-by-step explanation:

If $27 can buy you 6 hot dogs, to find the cost of one, we just divide.

27 divided by 6 = 4.5 ($4.50)

So 1 hotdog costs $4.50

If 1 hotdog is $4.50, and we want to know how much we can buy for $18, then we divide again.

18 divided by 4.5 = 4

So for $18, we can buy 4 hotdogs

8 0
3 years ago
Other questions:
  • To test upper h 0 : mu equals 72 versus upper h 1 : mu less than 72​, a simple random sample of size nequals20 is obtained from
    12·1 answer
  • In the given figure, what is the measure of angle CPE?
    6·1 answer
  • Determine whether function whose values are given in the table below could be linear or exponential.
    8·2 answers
  • Find the midpoint of the line segment with the given endpoints. (-7, -1) and (3, -6)
    13·1 answer
  • Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long would it ta
    8·1 answer
  • in an open relay race joe planned to swim 3 2/5 laps and eric planned to swim 2 1 and 1/5 laps how many combined laps did joe an
    13·1 answer
  • Express the number in scientific notation. 3.26
    10·1 answer
  • Calculate the area in square metres for a triangle with a base 16.6 m long and a perpendicular height of
    9·1 answer
  • Which of the following shows the slope and y-intercept on graph?​
    5·1 answer
  • If VW≅VY, WX = s + 69, and XY = 4s, what is the value of s?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!