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
VMariaS [17]
2 years ago
10

Please answer circle theorem question. Many thx.

Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = \frac{180-70}{2} = \frac{110}{2} = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

You might be interested in
The sum of 8 times a number 4 and 5 equals .
Tema [17]

Answer:

37

Step-by-step explanation:

This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:

"The sum" tells that we are going to be adding together the next two phrases separated by "and"s.

That is "8 times a number 4"  <em>and</em>  "5"

Therefore, we need to add 2 groups:

(8*4) + (5)

Now, we simply use PEMDAS (or GEMDAS) to solve the expression:

(8*4) + (5)

= (32) + (5)

= 32 + 5

= <u>37</u>

5 0
3 years ago
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand
Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})

P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})

P(X > 1560) = P(Z > \dfrac{110}{220})

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean \mu_x = np = 52 × 0.3085 = 16.042

The standard deviation =  \sqrt {n \time p (1-p)}

The standard deviation = \sqrt {52 \times 0.3085 (1-0.3085)}

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})

Pr ( Y > 20) = P(Z >1 .338)

From z tables

P(Y > 20) \simeq 0.0903

7 0
3 years ago
Hi please help i’ll give brain
NARA [144]

Answer:

The GCF is going to be 20

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 20, 2 × 2 × 5= 20

The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80

The common factors are 2, 2, and 5. We multiply those to get the GCF.

2 × 2 × 5 = 20

7 0
2 years ago
Read 2 more answers
If the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive non
aleksandrvk [35]
Answer: the converse

Why: “if Q then P”, if 44 then acute
4 0
3 years ago
The lines below are parallel. If the slope of the green line is -2, what is the
Andreas93 [3]

Answer:

C. -2

Step-by-step explanation:

All parallel lines have the same slope

4 0
2 years ago
Other questions:
  • Of the thirty girls who tried out for the lacrosse team only 12 got in
    11·1 answer
  • If the measure of angle A is 40* and the length of side b is 15 inches, which can be the length of side a if it is possible to f
    12·1 answer
  • How many numbers are inbetween 20 and 45?
    13·1 answer
  • In a right triangle the side opposite the right angle is called
    7·1 answer
  • Julio is making brownies for the school bake sale.
    10·1 answer
  • L <br> M<br> J<br> K <br> What’s the answer
    5·1 answer
  • Solve each word problem by setting up a system of equations.
    5·1 answer
  • NEED HELP ASAP
    6·2 answers
  • A pair of vertical angles has measures (2y + 5) and (4y) What is the value of y?
    7·1 answer
  • Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!