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
ira [324]
3 years ago
15

In this figure, mBDA=___ and mBCA=___.

Mathematics
2 answers:
Serhud [2]3 years ago
5 0
∠BDA is inscribed angle
inscribed angle = 1/2 × central angle
the central angle is small ∠BOA, use ∠BOA that face the same direction as ∠BDA

Find the central angle ∠BOA
central angle = 360° - large ∠BOA
central angle = 360° - 250°
central angle = 110°

Find ∠BDA
inscribed angle = 1/2 × central angle
∠BDA = 1/2 × small ∠BOA
∠BDA = 1/2 × 110°
∠BDA = 55°


To find ∠BCA, use tetragon BOAC to solve the problem
The sum of interior angles in tetragon is 360°. Because CA and CB is tangent of the circle, the angles which is formed by the tangent is 90°. So ∠CAO and ∠CBO are both equal to 90°
∠BCA + ∠CAO + ∠CBO + small ∠BOA = 360°
∠BCA + 90° + 90° + 110° = 360°
∠BCA + 290° = 360°
∠BCA = 360° - 290°
∠BCA = 70°

THE ANSWER
m∠BDA = 55°
m∠BCA = 70°
san4es73 [151]3 years ago
4 0
MBDA= ADB and mBCA= ACB
You might be interested in
Find the x- and y- intercepts of the line with the equation 3x+4y=-12
masya89 [10]
3x + 4y = -12

X - Intercept:    3x + 4y = -12
                      3x + 4(0) = -12
                           3x + 0 = -12
                                 3x = -12
                                  3       3
                                   x = -4
                             (x, y) = (-4, 0)

Y - Intercept:   3x + 4y = 12
                     3(0) + 4y = 12
                         0 + 4y = 12
                               4y = 12
                                4      4
                                 y = 3
                           (x, y) = (0, 3)
8 0
3 years ago
What is the domain for f(x) =26-2x?
anastassius [24]
Domain of f = R .............
7 0
3 years ago
Finished the first one don´t understand these.
Mashutka [201]

Answer:

Let "x" be the number of people who can go to the amusement park.

So we have: 19 + 14x ≤ 180. This inequality basically means that the parking cost plus the cost of the tickets for every person cannot cost more than 180 dollars.

Solving this inequality, we get:

19 + 14x ≤ 180

14x ≤ 161

x ≤ 11.5

Obviously, we know that we can't have "half" a person, so the most people who can come to the amusement park would be 11 people, and the answer would be: x ≤ 11

Hope this helps!

4 0
2 years ago
Rafael is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 3 flavor
Pavlova-9 [17]

Answer:

9

Step-by-step explanation:

Multiply the number of sizes by flavors, the by toppings.

3*3*1

8 0
3 years ago
For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.
12345 [234]

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.

If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.

If x = 6, this would fall under the second part of the function because 5 \leq x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.

3 0
2 years ago
Other questions:
  • Delonna walks 4 miles per day for exercise. The total number of miles m she walks equals 4 times the number of days d she walks.
    15·1 answer
  • How do you solve this question ​
    6·1 answer
  • Solve the quadratic equation by taking square roots. Allow for imaginary solutions. Enter your answer in simplest form. Equation
    15·1 answer
  • In a study of stress levels in U.S. army recruits stationed in Iraq, researchers obtained a complete list of the names of recrui
    9·1 answer
  • Subtract 5x ^ 2 + 2x - 11 from 3x ^ 2 + 8x - 7 . Express the result as a trinomial.
    7·1 answer
  • Can anyone help me with this question? <br>what is 6y+8x=24
    8·1 answer
  • The sum of the numbers j,k, and m is 115. The ratio of j to k is 2:7 and the ratio of k to m is 14:5. What is the value of k?
    6·2 answers
  • Please help it asks: the graph below represents which of the following functions
    7·1 answer
  • A variable needs to be eliminated to solve the system of equations below. Choose the
    9·1 answer
  • &gt;…_~§-+*First Answer Gets Brainliest*+-§~_…&lt;<br> Questions In the picture!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!