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
Anastasy [175]
2 years ago
13

In the diagram below Please help I’ll give brainliest

Mathematics
1 answer:
Luda [366]2 years ago
4 0

Answer:

m<GFA = 110

Step-by-step explanation:

1. ABCD - parallelogram                          Definition of a parallelogram

                                                                   (AB ll CD) (AD ll BC)

2. m<B + m<C = 180                                    Consectuive angles in a

   110 + m<C = 180                                       parallelogram are supplementary

    m<C = 70                                    

3. m<GCB = 1/2 m<C                                  Definition of angles bisector

   m<GCB = 70

4. m<B = m<D = 110                                    Opposite angles in a

                                                                    parrallelogram are congruent

5. m<CDG = 1/2 m<D                                 Defintion of an angle bisector

  m<CDG = 55

6. m<GCB+m<CDG+m<CGD=180              Sum of anlges in a triangle (ΔCDG)

  70 + 55 + m<CGD = 180

   125 + m<CGD = 180

   m<CGD = 55

7. m<CGD + m<DGF = 180                            Linear pair, supplmentary angles

  55 + m<DGF = 180

  m<DGF = 125

8. m<C = m<A = 70                                     Opposite angles in a paralellogram

                                                                     are congruent

9. m<ADG = 1/2m<D                                       Definiton of an angle bisector

  m<ADG = 55

10.m<ADG+m<DFG+m<GFA+m<A=360        Sum of angles in quadrilateral

   55 + 125 + m<GFA + 70 = 360                    DGFA

    m<GFA + 250 = 360

   m<GFA = 110

You might be interested in
What is the sum of m A and m B if angles A and B are supplementary?
jok3333 [9.3K]

Answer:

following

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A rental car agency charges $30.00 per day
lutik1710 [3]
<h2>Answer:</h2><h2>They should travel 120 mils in one day for both rental agencies  to cost the same amount to rent</h2>

Step-by-step explanation:

A rental car agency charges $30.00 per day  plus per mile $0.15.

Let x be the number of miles travelled by car

Their total cost = 30 + (0.15x)   ... (1)

Another rental car  agency charges $36.00 per day plus $0.10  per mile

Their total cost = 36 + (0.10x)   ... (2)

Equating (1) and (2), we get

30 + (0.15x) = 36 + (0.10x)

36 - 30 = 0.15x - 0.10x

6 = 0.05x

x = 120 miles

They should travel 120 mils in one day for both rental agencies  to cost the same amount to rent

5 0
3 years ago
Evaluate 3x + 7 for x = 5.
suter [353]

Answer:

22

Step-by-step explanation:

If x = 5, then plug 5 in for x .

3(5) + 7

15 + 7 = 22

6 0
3 years ago
Read 2 more answers
What is this pls help me​
Drupady [299]

Answer:

D’=(3,3); F’=(-2,-2); E’= (-5,0)

Step-by-step explanation:

To find the reflection over the y axis (the line x=0), you just need to change the x either from positive to negactive or the opposite.

8 0
2 years ago
Read 2 more answers
Laura wants to develop a model that shows how natural processes can suddenly change the Earths surface. which of the following c
Masteriza [31]
I really strongly think it’s A
8 0
2 years ago
Other questions:
  • Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
    10·1 answer
  • Ron wrote the pattern shown below. What is the rule for following Ron's pattern?<br> 11, 36, 86, 186
    7·1 answer
  • Rules for rational and irrational numbers
    10·1 answer
  • Angle ACD is supplementary to angles ACE and BCD and congruent to angle BCE.
    8·2 answers
  • 4 Three intersecting lines form triangle BCE as shown below.
    14·2 answers
  • 1/2 + 4 5/8 please help
    12·2 answers
  • Find the area of the compound shape. Give your answer to 1<br>decimal place...​
    14·1 answer
  • HELP WILL GIVE BRAINEIST
    12·1 answer
  • Complete both Part A and Part B.
    12·2 answers
  • Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!