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
LenaWriter [7]
3 years ago
14

What is the measure of arc bc? A. 76 B. 40 C. 96 D. 58

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Answer:

  A.  76

Step-by-step explanation:

Angle A is half the difference between the measures of arc DE and BC.

  m∠A = (1/2)(DE -BC)

  20 = (1/2)(116 -BC) . . . . substitute the given values

  40 = 116 -BC . . . . . . . . multiply by 2

  BC = 116 -40 . . . . . . . . add BC -40

  BC = 76

_____

<em>Comment on intersecting secants</em>

When the secants intersect <em>inside</em> the circle, the angle where they cross is half the <em>sum</em> of the intercepted arcs. When they intersect <em>outside</em> the circle (as here), the angle where they meet is half the <em>difference</em> of the intercepted acs.

Sometimes it is easier to remember two related relationships than it is to remember just one of them.

You might be interested in
Which equation is true for x = 5? A) 2x + 5 = 25 Eliminate B) 3x + 5 = 17 C) 5x − 18 = 7 D) 6x − 10 = 26
xxTIMURxx [149]

Answer:

C) 5x - 18 = 7

Step-by-step explanation:

Plug in 5 for x.

5x - 18 = 7

5(5) - 18 = 7

Simplify. First, multiply, then subtract.

25 - 18 = 7

7 = 7 (True)

~

7 0
3 years ago
Read 2 more answers
The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of
aleksandrvk [35]
Aproximately 42 trees my friend
7 0
2 years ago
1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°
slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

  • Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
  • Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
  • Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation sin (68) = \frac{18}{h}.

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\

And finally we have h=\frac{18}{sin (68)}. We input to calculator.

h=\frac{18}{0.92718} \\h=19.4 feet

See the attached picture below showing the shore with the boat out at sea and the position of the person.


8 0
3 years ago
On a test of 76 ​items, Pedro got 93​% correct.​ (There was partial credit on some​ items.) How many items did he get​ correct?
Firlakuza [10]
You would use the “is/of” method.

93 / 100 = x / 76

Cross multiply and divide:

7068 / 100 = 70.68

This means Pedro got around 70 to 71 questions correct and 5 or 6 questions incorrect.
6 0
3 years ago
Helpppp I attached a ss
joja [24]

Answer:

the answer is 7×9=(7×10)-(7×1)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Is 8 yards equal to 288 inches cause thats what i got
    9·1 answer
  • A wheelchair ramp is to be built from the ground to the door sill along side a building. The cross section of the ramp is a righ
    12·1 answer
  • Help me out please ...
    6·2 answers
  • Find the value of X on this proportion
    10·2 answers
  • A circle with a circumference<br> 120, degrees central angle.<br>What is the length of the arc?
    6·1 answer
  • Can someone please help me!! Ive been asking for help and I not getting any.. please help
    15·1 answer
  • A lawn-care company loses $130 as a result of a delay. The 4 owners of the company must share the loss equally. Which expression
    8·1 answer
  • The straight line 3x -2y = 5 will pass through which of the following points
    14·1 answer
  • Help me with this one please and thank you
    15·1 answer
  • Please help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!