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
Svet_ta [14]
3 years ago
11

If mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", find each measure.

Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Step-by-step explanation:

Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.

To get x, we will substitute the given angles into the formula as shown;

(10x – 18) =  (3x + 14)+ (5x - 2)

10x-18 = 3x+5x+14-2

10x-18 = 8x+12

10x-8x = 12+18

2x = 30

x = 30/2

x = 15

Find the measure of each angle

For mCDF:

mCDF = 3x + 14

mCDF = 3(15)+ 14

mCDF = 45+14

mCDF = 59°

For mFDE:

mFDE = (5x - 2)

mFDE = 5(15) - 2

mFDE = 75-2

mFDE = 73°

For mCDE:

mCDE = (10x – 18)

mCDE = 10(15) - 18

mCDE = 150-18

mCDE = 132°

You might be interested in
Factor completely x3 + 4x2 + 8x + 32. (x + 4)(x2 + 8) (x − 4)(x2 − 8) (x − 4)(x2 + 8) (x + 4)(x2 − 8)
icang [17]

\tt x^3+4x^2+8x+32\\\\=x^2(x+4)+8(x+4)\\\\=\boxed{\tt(x+4)(x^2+8)}

7 0
3 years ago
Read 2 more answers
Brennan has already run 16 miles on his own, and he expects to run 3 miles during each track practice. How many track practices
pentagon [3]

Answer:

It would take Brennan 4 track practice runs.

Step-by-step explanation:

He has already run 16 miles and needs to run 28 in total. If we are counting the 16 in the 28 miles, he would need to run only 12 more to reach his goal. And if he runs 3 miles a run, it would take him about 4 runs to finish his 28-mile goal.

(28-16=12 and 12/3=4)

8 0
3 years ago
Read 2 more answers
I need some help please so confused new topic
Zielflug [23.3K]
I think you multiply length times width if not I am sorry. I think the answer is 30. Sorry if it isn’t
5 0
2 years ago
Needs answered ASAP <br> What is the volume of the triangular prism below?
neonofarm [45]

Answer:

172.5 inches cubed

Step-by-step explanation:

5 0
3 years ago
Which number sentence is not true?
Burka [1]

Answer:

Option B

Step-by-step explanation:

|-1| \neq -1

|-1| = 1

8 0
2 years ago
Other questions:
  • A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
    14·1 answer
  • Delany can run 1 1/2 of a mile at a rate 16 minutes and 30 seconds. At this rate how many minutes will it take him to run one mi
    11·1 answer
  • The graph shows the number of tornadoes that occurred in the United States in 2012.
    11·2 answers
  • PLEASE HELP WILL MARK BRAINLIEST
    6·2 answers
  • If anybody could help with this, i can give brainliest
    12·2 answers
  • Round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it ​
    11·2 answers
  • PLZ PLZ PLZ HELPPPPPPPP
    11·2 answers
  • With the trend on this scatter plot, how old would someone be who spends 50 minutes on homework per day?
    8·2 answers
  • 1. Is each of the following a function?
    15·1 answer
  • Help! Help! Help! Help! Help! Help! ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!