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
attashe74 [19]
3 years ago
5

In ΔCDE, \text{m}\angle C = (4x-16)^{\circ}m∠C=(4x−16) ∘ , \text{m}\angle D = (6x-1)^{\circ}m∠D=(6x−1) ∘ , and \text{m}\angle E

= (4x-13)^{\circ}m∠E=(4x−13) ∘ . Find \text{m}\angle C.M∠C.
Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

m∠C = 44°

Step-by-step explanation:

In ΔCDE,

m∠C=(4x−16) ∘

m∠D=(6x−1) ∘

m∠E=(4x−13) ∘ .

The sum of angles in a triangle = 180°

Step 1

We solve for x

m∠C + m∠D + m∠E

(4x−16)° + (6x−1)° + (4x−13)° = 180°

4x - 16 + 6x - 1 + 4x - 13 = 180°

4x + 6x + 4x -16 - 1 - 13 = 180°

14x - 30 = 180°

14x = 180+ 30

14x = 210

x = 210/14

x = 15

Step 2

Find m∠C

m∠C = (4x−16)°

m∠C = (4 × 15 - 16)°

m∠C = (60 - 16)°

m∠C = 44°

You might be interested in
Erin spent $15.30 on ingredients for cookies she’s making for the school bake sale. How many cookies must she sell at $0.35 a pi
blondinia [14]

Answer:

she needs to sell at least 44 cookies to make a $0.10 profit

Step-by-step explanation:

to find the answer all you have to do is divide 15.30 by 0.35

4 0
3 years ago
Read 2 more answers
X^2-12x+12=0 completing the square
Makovka662 [10]

Answer:

x1 = 6 + 2√6 or x2 = 6 - 2√6

Step-by-step explanation:

x² - 12x + 12 = 0

We need to use formula:

a² - 2ab + b² = (a - b)².

x² - 12x  =  - 12

x² - 2*6x + 6²- 6² = - 12

(x - 6)² - 36 = -12

(x - 6)² = - 12 + 36

(x -6)² = 24

(x - 6) = √24 or (x-6) = -√24

(x - 6) = 2√6 or (x-6) = - 2√6

x = 6 + 2√6 or x = 6 - 2√6

3 0
3 years ago
the record for the longest migration is held by the arts tern, which flies a round trip that can be as long as 20,000 miles per
attashe74 [19]

Answer:

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of a round trip flight of an arctic tern = 20,000 miles ⇒ one-way flight = 10,000 miles

Miles per hour = 25

Hours of flight per day = 12

2. If the birds flies an average of 25 miles per hour and an average of 12 hours per day, how many days would it take for a one-way flight?

Let's calculate the number of miles per day, this way:

Miles per day = Miles per hour * Hours of flight per day

Miles per day = 25 * 12

Miles per day = 300

Now we calculate the number of days to cover 10,000 miles, a one-way flight from the Arctic to the Antarctic, as follows:

Number of days to cover 10,000 miles = 10,000/Miles per day

Number of days to cover 10,000 miles = 10,000/300

Number of days to cover 10,000 miles = 33.33

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

6 0
3 years ago
How dose the graph of g(x)=x+5 compare with the graph of the parent function f(x)=x?
DENIUS [597]

The graph of f(x) is shifted up by 5 units to get g(x)

<h3>How to compare the functions?</h3>

The functions are given as:

g(x) = x + 5

f(x) = x

Substitute f(x) = x in g(x) = x + 5

So, we have:

g(x) = f(x) + 5

The above means that the graph of f(x) is shifted up by 5 units to get g(x)

Read more about function transformation at:

brainly.com/question/13810353

#SPJ1

3 0
2 years ago
C is the correct answer right?
enyata [817]
C is the correct answer :)
3 0
4 years ago
Other questions:
  • 2. if she wants to eat 175 calories of granola how many servings should she eat ???? btw part 2 of the granola problem
    11·1 answer
  • Factor completely. <br><br> 36x^4+18x^3+40x^2 <br><br> Enter your answer in the box.
    10·2 answers
  • Evaluate the expression -5-3+1
    13·2 answers
  • The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet find the measures o
    11·2 answers
  • What is the least number of congruency statements needed to be stated in a triangle congruency proof to prove triangles are cong
    13·1 answer
  • Find the value of M and n
    14·1 answer
  • In a science test. Devi scores 16 marks more than Ali. lf
    7·1 answer
  • Can some one please help me with this
    7·1 answer
  • An item costs S430 before tax, and the sales tax is $17.20.
    7·1 answer
  • Write each equation in slope intercept form x+7y=48
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!