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
maw [93]
4 years ago
5

GE bisects DGF , m_ CGD= 2x - 2, m2 EGF= 37, m CGF = 7x + 2 mZCGD = mZCGF =

Mathematics
1 answer:
stira [4]4 years ago
4 0

Answer:

m<CGD = 26°

m<CGF = 100°

Step-by-step explanation:

m<CGD = 2x - 2

m<EGF = 37

m<CGF = 7x + 2

Since GE bisects <DGF, m<DGF = 2*m<EGF.

m<DGF = 2*37 = 74°

m<CGD + m<DGF = m<CGF (angle addition postulate)

(2x - 2) + (74) = (7x + 2)

Find the value of x using the equation above.

2x - 2 + 74 = 7x + 2

Collect like terms

2x + 72 = 7x + 2

-2 + 72 = 7x - 2x

70 = 5x

70/5 = 5x/5

14 = x

x = 14

m<CGD = 2x - 2

Plug in the value of x

m<CGD = 2(14) - 2 = 28 - 2

m<CGD = 26°

m<CGF = 7x + 2

m<CGF = 7(14) + 2 = 98 + 2

m<CGF = 100°

You might be interested in
Veronica and Chad are walking down the street. Veronica walks at a speed of 5 miles per hour, and Chad walks at a speed of 4 mil
stich3 [128]

Answer:

Veronica:

d=5t

Chad:

d=4t

Step-by-step explanation

yes they do represent linear equations

4 0
3 years ago
How many athletes exercised more than 40 but less than 60 minutes
BaLLatris [955]
4.  When reading the stem and leaf plot the only values that fall between the range of  40 < x <60  is the 4 values of 45.  They are located at the tail end of the 4 stem after the zeros. The 40s and 60s are not counted because it is not mentioned equal to 40 or 60.
3 0
3 years ago
Read 2 more answers
A dozen eggs cosy $1.32 at the grocery store .how much profit would a restaurant make if the sold 1 scramble egg for 99 cent
tatuchka [14]
What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11    <--    The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
0.99 - 0.11 = 0.88    <--    The profit the restaurant makes per egg is 88 cents.

Hope this helps.
5 0
3 years ago
Line ABC is a straight line. Line A B is a straight line. Line B comes out of the line to form angles 1 and 2. Which describes t
german

Answer:

the answer is b fam

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve D=RT for D, if T=5hours and R=65mph
brilliants [131]
D=325. u multilply 5 times 65 and thats the answer u get
4 0
3 years ago
Other questions:
  • Evaluate 2.5 -1.3 to three decimal
    8·2 answers
  • last year, sales at a book store increased from 5,000 to 10,000. This year, sales decreased to 5,000 from 10,000. what percentag
    6·1 answer
  • Which calculation can be used to find the length of AC?
    11·1 answer
  • Jamal is planting seeds for a garden nursery.he plants
    10·2 answers
  •  Sandra sells necklaces at a school craft fair. She uses the equation P= 7.5n - (2.25n + 15) to determine her total profit at th
    6·1 answer
  • What is the factored form of 8x^24 - 27y^6
    14·1 answer
  • I’ve been stuck in this i’ve been thinking it’s 104 but it says it’s not
    14·2 answers
  • According to the Bureau of the Census, the population of the United States in 1990 was approximately 249 million and in 2000, 28
    14·1 answer
  • Katarina earns $14.60/hour for regular hours of work. She is paid time and a
    8·1 answer
  • 36 x 69 in area model
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!