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
andreev551 [17]
2 years ago
11

Find mEC. 5x - 27) (2x - 5) D

Mathematics
1 answer:
UNO [17]2 years ago
4 0

Answer:

Arc EC = 58°

Step-by-step explanation:

First, find the value of x.

m<D = ½(arc EC) => Inscribed Angles Theorem

Substitute

2x - 5 = ½(5x - 27)

Multiply both sides by 2

2(2x - 5) = 5x - 27

4x - 10 = 5x - 27

Collect like terms

4x - 5x = 10 - 27

-x = -17

Divide both sides by -1

x = 17

Find arc EC:

Arc EC = 5x - 27

Plug in the value of x

Arc EC = 5(17) - 27 = 85 - 27

Arc EC = 58°

You might be interested in
Find Y When x=2 y=5x-9​
nadya68 [22]
5*2-9 = y

10-9= 1
y=1
6 0
3 years ago
Read 2 more answers
In abc above,what is the length of ad​
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

-----------------------------------------------------------

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

4 0
3 years ago
The weather report stated that tomorrow's low temperature will be -3 degrees. What does that statement mean?
Ket [755]

Answer:

It means that the lowest the temperature will get that day is -3 degrees

Step-by-step explanation:

6 0
2 years ago
What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/
omeli [17]

Answer:

B. (2, -\frac{5}{2})

Step-by-step explanation:

Given:

(2, 4) and (2, -9)

Required:

Midpoint of the vertical line with the above endpoints

Solution:

Apply the midpoint formula, which is:

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Where,

(2, 4) = (x_1, y_1)

(2, -9) = (x_2, y_2)

Plug in the values into the equation:

M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2})

M(\frac{4}{2}, \frac{-5}{2})

M(2, -\frac{5}{2})

8 0
2 years ago
Solve the system of equations.<br> 9x + 4y = 6<br> 9x + 5y = -33<br> X =<br> y =
Alekssandra [29.7K]

Answer x= 18 y=-39

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Beethoven wrote 9 symphonies and mozart wrote 27 piano concertos. if a university radio station announcer wishes to play first a
    8·1 answer
  • A rectangle on a coordinate plane has vertices Q(Negative 1, 1), R(6, 1), S(6, Negative 8), and T(Negative 1, Negative 8). What
    9·1 answer
  • Colton purchased a sofa originally priced at $540 for 30% off. What was the sale price of the sofa?
    15·2 answers
  • Find the x-intercepts of the parabola with
    13·1 answer
  • Raoul rode a elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor which equation shows a
    6·1 answer
  • The widths of two similar rectangles are 25 ft. and 20 ft. What is the ratio of the perimeters?
    8·1 answer
  • 2x - 3 &lt; 9 what is the answer
    14·2 answers
  • $4.25 for 64 fluid ounces .<br><br> What is the unit rate
    6·2 answers
  • What is the value of x in the equation 1/2 x - 3/4 equals 3/8 - 5/8 x?<br>​
    10·1 answer
  • Find the coordinates of point P along the directed line segment AB, from A(-2,-4) to B(6, 1), so that the ratio of AP to PB is 3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!