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
FrozenT [24]
3 years ago
5

If O is the center of the circle and ABC = 24 degrees, what is the measure of BDC?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

Answer:

  ∠BDC = 66°

Step-by-step explanation:

∠OCB ≅ ∠OBC, so is 24°. ΔDBC is inscribed in a semicircle, so ∠DBC is a right angle. That makes ∠BDC complementary to ∠BCD:

  ∠BDC = 90° -24°

  ∠BDC = 66°

You might be interested in
Why are the solutions to the proportions 50/x =10/20 and 10/50=20/x the same
ratelena [41]
With cross multiplication you can find that they are the same. In both equations, x would be 100. 
5 0
3 years ago
Read 2 more answers
It doesnt matter anymore, im gonna fail and nobody has been answering my question honestly, or not even reading it at all..
Papessa [141]

Answer: aw dont be sad

Step-by-step explanation:

stay happy

4 0
3 years ago
Read 2 more answers
HELP ASAP!! I don't understand this question!
Veseljchak [2.6K]

Answer:

I think that you have to multiply the angles with each other and thats how you get your answer. Can I get Branliest?

Step-by-step explanation:


7 0
3 years ago
Given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle
Anastasy [175]

Answer:

Part 1) False

Part 2) False

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

where

(h,k) is the center and r is the radius

In this problem the distance between the center and a point on the circle is equal to the radius

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Part 1) given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

(x+3)^{2} +(y-4)^{2}=r^{2}

Find the distance (radius) between the center (-3,4) and (-6,2)

substitute in the formula of distance

r=\sqrt{(2-4)^{2}+(-6+3)^{2}}

r=\sqrt{(-2)^{2}+(-3)^{2}}

r=\sqrt{13}\ units

The equation of the circle is equal to

(x+3)^{2} +(y-4)^{2}=(\sqrt{13}){2}

(x+3)^{2} +(y-4)^{2}=13

Verify if the point (10,4) is on the circle

we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=10,y=4

substitute

(10+3)^{2} +(4-4)^{2}=13

(13)^{2} +(0)^{2}=13

169=13 -----> is not true

therefore

The point is not on the circle

The statement is false

Part 2) given the center of the circle (1,3) and a point on the circle (2,6), (11,5) is on the circle.

true or false

substitute the center of the circle in the equation in standard form

(x-1)^{2} +(y-3)^{2}=r^{2}

Find the distance (radius) between the center (1,3) and (2,6)

substitute in the formula of distance

r=\sqrt{(6-3)^{2}+(2-1)^{2}}

r=\sqrt{(3)^{2}+(1)^{2}}

r=\sqrt{10}\ units

The equation of the circle is equal to

(x-1)^{2} +(y-3)^{2}=(\sqrt{10}){2}

(x-1)^{2} +(y-3)^{2}=10

Verify if the point (11,5) is on the circle

we know that

If a ordered pair is on the circle, then the ordered pair must satisfy the equation of the circle

For x=11,y=5

substitute

(11-1)^{2} +(5-3)^{2}=10

(10)^{2} +(2)^{2}=10

104=10 -----> is not true

therefore

The point is not on the circle

The statement is false

7 0
3 years ago
How to put -3x(4-6x) in distributive property
Rashid [163]

Answer:

-12x+18x²

Step-by-step explanation:

Given: -3x(4-6x)

Distributive property of multiplication under which a number is multiplied by the sum of two number, the first number can be distributed to both of those number.

∴  -3x(4-6x)

solving it by using distributive property

= (-3x\times 4)-(-3x\times 6x)

= -(12x) + 18x^{2}

Opening parenthesis

=  -12x+18x^{2}

Hence, -12x+18x^{2} is the result after using distributive property.

3 0
3 years ago
Other questions:
  • An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
    12·1 answer
  • How do you do this need help
    8·1 answer
  • What Is The Answer To: 2x3x21x92
    14·2 answers
  • Can someone tell me how to solve this?
    7·1 answer
  • When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow. How y’all is a person if he casts
    15·1 answer
  • Please help me solve this problem
    9·2 answers
  • What is the minimum number of points needed to determine the equation of a line containing those points?. The choices are the fo
    9·2 answers
  • Which data set has an apparent negative, but not perfect, linear relationship between its two variables
    7·1 answer
  • I need help with this problem
    11·1 answer
  • Item 14
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!