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
bija089 [108]
3 years ago
14

Point O is the center of the given circle. What is the measure of yz?

Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

  • B. 108°

Step-by-step explanation:

<u>XO = YO equal as radius, therefore</u>

  • m∠X = m∠Y = 54°

∠YOZ is exterior angle of the triangle OXY and equal to sum of non-adjacent interior angles

  • m∠YOZ = 54° + 54° = 108°

Arc YZ is 108°

Correct option is B

You might be interested in
Verify the identity: <br> (1-sinx)/cosx = cosx/(1+sinx)
Lisa [10]
For the answer to the question above,
<span>Let's work with the left-hand side 
We're going to times cosx/1-sinx by 1+sinx/1+sinx, you can do this because 1+sinx/1+sinx is equal to 1, so you aren't really changing anything. 

After you've times the top and bottom by 1+sinx, you get: 

cosx(1+sinx) / (1-sinx)(1+sinx) 

The denominator is a difference of squares, so you get 1-sin^2 x 

what you have now is 

cosx(1+sinx) / 1-sin^2x 

You know that 1-sin^2x is equal to cos^2x 

so know you have 

cosx(1+sinx) / cos^2x 

get rid of the cosx on top by simplifying and the cos^2x so that you're left with 

(1+sinx) / cos x 

Therefore cosx / 1- sinx = 1 + sinx / cos x</span>
4 0
3 years ago
What are the coordinates of vertex ?
Step2247 [10]

Answer:

(0, -8)

Step-by-step explanation:

8 0
3 years ago
given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
Help ? I need steps on how to do this
Furkat [3]

<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>

<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>

Step-by-step explanation:

[ Refer to the attachment for steps ]

  • We have to eliminate the highest degree coefficient in each step.

  • And as in division of normal numbers we subtract the things here we do the same ,

but while subtracting we have to take care about the signs !

  • The negative sign changes the negative sign into positive sign and positive sign into negative sign.

  • Whereas , a positive sign don't changes the sign.

8 0
3 years ago
Help please?? I’m being timed!!
weqwewe [10]

Answer:

answer is is option 3 all the best for examination

6 0
3 years ago
Read 2 more answers
Other questions:
  • The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.
    12·2 answers
  • Is 2,5,11 linear or nonlinear
    5·1 answer
  • Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)
    13·2 answers
  • What is a possible integers for b? in the equation x squared+13x+36=(x+a)(x+b)​
    5·1 answer
  • find the length of the second base of a trapezoid with one base measuring 29ft a height of 9ft and an area of 193.5ft
    15·1 answer
  • Use the Divergence Theorem to compute the net outward flux of the following field across the given surface S. F = &lt; x^2, y^2,
    8·1 answer
  • A takes 3 hours more than B to walk 30 km. But if A doubles his pace, he is ahead of B by 3/2 hours . Find their speed of walkin
    11·1 answer
  • Which of the following is equivalent to the expression 72 - 4?
    15·1 answer
  • Can some body help me
    11·1 answer
  • Marius combined 4/8 gallon of lemonade, 3/8 gallon of cranberry juice, and 6/8 gallon of soda water to make punch for a party. H
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!