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]
3 years ago
13

In the diagram below Please help I’ll give brainliest

Mathematics
1 answer:
Luda [366]3 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
A roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 s
belka [17]

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

4s=24

Therefore, the required equation is 4s=24.

Divide both sides by 4.

s=\dfrac{24}{4}

s=6

Therefore, the number of seats in each car is 6.

6 0
3 years ago
Identify the initial amount a and the growth or decay factor b in the exponential function. y = 0.01025^x
Nastasia [14]

Answer:

The initial amount a = 1

The growth or decay factor  = 0.01025

Step-by-step explanation:

The exponential function.

y = 0.01025^x

The initial amount a = 1

The growth or decay factor  = 0.01025

The exponential equation can be rewritten as Y = 1(0.01025)^x

8 0
3 years ago
Please do 81 cookies and distributed 44
AveGali [126]
I’m not quite sure what the question is, but 81 cookies distributed among 44 people would mean that each person gets 0.02 cookies each.
5 0
2 years ago
Read 2 more answers
Board is 17 ft only need 5/8
lakkis [162]
We have an equation: ?/17= 5/8

Cross multiply:
8*?= 5*17
⇒ ?= 5*17/8= 10 5/8

We only need 10 5/8 ft~
4 0
3 years ago
-10 · (-12) = <br> Find the product.
mars1129 [50]

Answer:

\huge{ \fbox{ \tt{120}}}

Step-by-step explanation:

\star{ \:  \sf{ \:  - 10 \: ⋅ \: ( - 12})}

\underline{ \text{Remember!}} :  \sf{Multiplying \: a \: negative \: integer \: by \: a \: negative \: integer \: gives \: a \: positive \: integer.}

\mapsto{ \sf{  \boxed{120}}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

6 0
3 years ago
Read 2 more answers
Other questions:
  • Answers for m1 m2 m3
    8·1 answer
  • Write the number in scientific notation.
    12·2 answers
  • Which statement correctly describes this expression?
    15·1 answer
  • We invest $3500 in an account that pays simple interest of 4% each year. How much interest is earned after 10 years?
    14·1 answer
  • 13 POINTS!!!
    5·1 answer
  • A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is
    9·2 answers
  • HELP ASAP!! please help me answer 2 and 5.
    13·1 answer
  • Briana buys a reel of thread for sewing. Th ere are 10 m of thread on the real. Her brother in grade 4 used 210 cm. How much is
    13·1 answer
  • Harold bought 3 pounds of red apples
    5·2 answers
  • Can somebody help me extra points<br> Complete the statement below about the two figures.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!