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
taurus [48]
3 years ago
14

If m<ECD is six less than five times m<BCE. and m<BCD = 162°, find each measure.(Sorry bout using the wrong signs, but

< is meant to represent angle)​

Mathematics
2 answers:
Andrews [41]3 years ago
5 0

Answer:

m∠BCE = 28°

m∠ECD = 134°

Step-by-step explanation:

Statement in the question says " m∠ECD is six less than five times m∠BCE.

m∠ECD = 5(m∠BCE) - 6

m∠BCD = 162°

SInce m∠BCD = m∠BCE + m∠ECD

162° = m∠BCE + 5(m∠BCE) - 6

162° = 6(m∠BCE) - 6

162 + 6 = 6(m∠BCE)

168 = 6(m∠BCE)

m∠BCE = \frac{168}{6}

m∠BCE = 28°

Since m∠BCD = m∠BCE + m∠ECD

162 = 28 + m∠ECD

m∠ECD = 162 - 28 = 134°

Therefore, m∠BCE = 28° and m∠ECD = 134° is the answer.

tia_tia [17]3 years ago
3 0

Answer:

m∠BCE = 28° and m∠ECD = 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD

- m∠ECD is six less than five times m∠BCE

- That means when we multiply measure of angle BCE by five and

 then subtract six from this product the answer will be the measure

 of angle ECD

∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)

∵ m∠BCD = m∠BCE + m∠ECD

∵ m∠BCD = 162°

∴ m∠BCE + m∠ECD = 162 ⇒ (2)

- Substitute equation (1) in equation (2) to replace angle ECD by

  angle BCE

∴ m∠BCE + (5 m∠BCE - 6) = 162

- Add the like terms

∴ 6 m∠BCE - 6 = 162

- Add 6 to both sides

∴ 6 m∠BCE = 168

- Divide both sides by 6

∴ m∠BCE = 28°

- Substitute the measure of angle BCE in equation (1) to find the

  measure of angle ECD

∵ m∠ECD = 5 m∠BCE - 6

∵ m∠BCE = 28°

∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°

* m∠BCE = 28° and m∠ECD = 134°

You might be interested in
I NEED HELP PLEASE I have been on this question for a hour
Alexus [3.1K]

Answer:

A-8

Step-by-step explanation:

Any other higher number plugged in makes the equation false

7 0
3 years ago
Help needed <br> Will award brainliest
nirvana33 [79]
Q17:

one week = $560
52 weeks = 560 x 52 = $29120

Q18: 

one year = $28500
52 weeks = 28500
1 week = 28500 ÷ 52 = $548

Q19:

5% of $300000 = 0.05 x 300000 = $15000
$15000 + $12000 = $27000
3 0
3 years ago
Solve the following absolute value equation.<br><br> −8 − 2 |5X – 17| = −14
Levart [38]

If 5x - 17 ≥ 0, then |5x - 17| = 5x - 17 and the equation reduces to

-8 - 2 (5x - 17) = -14

-8 - 10x + 34 = -14

-10x = -40

x = 4

If 5x - 17 < 0, then |5x - 17| = -(5x - 17) = -5x + 17 and we have

-8 - 2 (-5x + 17) = -14

-8 + 10x - 34 = -14

10x = 28

x = 2.8

4 0
2 years ago
I NEED HELP ASAP PLEASE!!!!
givi [52]

Answer:

Hello!

An irrational number is all the real numbers which are not rational numbers.

M = \sqrt{2 is a irrational number.

N = \sqrt{5} is a irrational number.

S = 2 is not irrational, and is actually a whole number.

T = 5 is not irrational, and is actually a whole number.

Have a great day!

I hope this helps! <33

4 0
2 years ago
What is the GCF of, 33,22? I need this now.
Solnce55 [7]

Answer:

11

Step-by-step explanation:

33÷11=3

22÷11=2

3 and 2 habe no common factors

3 0
3 years ago
Other questions:
  • I dont get how to dont get how to do this, teacher went way to fast​
    10·2 answers
  • brady has a card collection with 64 basketball cards, 32 football cards, and 24 baseball cards. he wants to arrange the cards in
    12·1 answer
  • (this part is only for the 20 character ignore this )<br> x − 6y = −12
    5·2 answers
  • 3 2/5 time 5. Show work
    9·1 answer
  • Help please!!
    6·2 answers
  • Um whats x³+3x²+3x+1
    5·1 answer
  • If I want to make a profit of 20% of the selling price at 25$ on the pair of jeans, what price should I mark the jeans for?
    11·1 answer
  • What are the zero(s) of the function f(x) = the quantity of 5 x squared minus 25 x, all over x ? (2 points)
    14·1 answer
  • Anthony bought a new computer. He made an initial payment of $100 to the store, and he will pay $25 each month until the compute
    14·2 answers
  • A uniform rod of length 8 m has 20kg. What is the mass per meter.? ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!