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
FInd the value of x.<br> Y<br> D<br> W<br> X<br> (15x-8)<br> X =<br> N<br> 226
Oksi-84 [34.3K]

Let's start with the given arc and its angle.

The angle YWX is going to be half the arc length.

YWX = 1/2 (226) = 113

Angles VWX and YWX form a linear pair (or are supplementary angles), which means that their sum is 180 degrees.

(15x - 8) + 113 = 180

15x + 105 = 180

15x = 75

x = 5

Hope this helps!

8 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLIEST:)
DedPeter [7]

Answer: uhhhh try the first one

Step-by-step explanation:

5 0
3 years ago
Lisa’s car goes 300 miles on 15 gallons of gas. How fuel efficient is Lisa’s car?
sergejj [24]
300miles÷15=20
Efficient:20miles/gallons of gas
4 0
3 years ago
Create two similar, but not equal, right triangles using A (-5,-1) and b(4,3.5)
aalyn [17]

Answer:

The attachment shows ΔBAC ~ ΔBDA

Step-by-step explanation:

You want segment AB to be part of two similar, but not congruent, triangles. One way to do that is to make AB the hypotenuse of one triangle and the leg of another.

It is convenient to construct these triangles using point M as the arbitrary midpoint of the hypotenuse of the larger triangle. (We don't know the coordinates of M—we just know it is on the perpendicular bisector of AB.) BC is a diameter of circle M, and AD is the altitude of ΔABC.

8 0
3 years ago
80 members decreased by 65%
mrs_skeptik [129]
The answer would be 28 because....
 
First, you would multiply 80 and .65 (changed the percentage to decimal) which is 52 

Then, subtract 80 and 52 to get 28
4 0
3 years ago
Other questions:
  • 4x(10-3+2) simplify expression
    5·2 answers
  • Solve 6x - 7y= 16 for y.
    7·2 answers
  • What is the answer to x+4=6
    10·1 answer
  • 9•8-7•10=<br> What is the answer for this equation
    12·2 answers
  • You have 20 minutes to finish my 10 math problem. Wright and solve an inequality that represents how many minutes you can spend
    11·1 answer
  • X2 – 7x + 6 = -8<br> solve using factoring
    7·1 answer
  • Amelia bought a violin that was on sale for 15% off. If the original price was
    13·1 answer
  • 954÷70 <br> and remainder
    11·1 answer
  • You are playing a board game and your playing piece begins the game at START. You roll a single number cube numbered 1 to 6 to f
    14·2 answers
  • The distance between City A and City B is 500 miles. A length of 1.7 feet represents this distance on
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!