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
PIT_PIT [208]
3 years ago
6

Find the value of x.

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0

Answer:

<h2>           x = 84°</h2>

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠OAB = m∠OCB = 90°

m\angle AOC=\stackrel{\big{\frown}}{ADC}=96^o

The sum of the angles in the quadrilateral is 360°, so:

x = 360° - 2•90° - 96° = 84°

You might be interested in
An experimental population of fruit flies increases according to the law of exponential growth. There were 60 flies after the 2n
Mice21 [21]

Answer:

There were 10 flies originally

Step-by-step explanation:

Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;

V = I(1+r)^d

where V is the number of flies on a particular day

I is the initial number of flies

r is the constant increase in percentage

and d is the number of days.

So we have for the second day;

60 = I(1+r)^2 ••••••(i)

For the fourth day, we have;

360 = I(1+r)^4 ••••••••(ii)

divide equation ii by i; we have;

360/60 = (1+r)^4/(1+r)^2

6 = (1+r)^2

(√6)^2 = (1+r)^2

1 + r = √6

r = √6 - 1

So we can substitute the value of r in any of the equations to get I which is the initial number of flies

Let’s use equation 1

60 = I(1 + r)^2

60 = I(1 + √6 -1)^2

60 = I(√6)^2

60 = 6I

I = 60/6

I = 10 flies

3 0
2 years ago
Name any two points on a horizontal line that is 4 units above the x-axis
hichkok12 [17]
(1,4) (2,4) (3,4) (4,4)
6 0
2 years ago
What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7
Thepotemich [5.8K]

Answer:

A

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

(x+1)(x+1+11)=(x+4)(x+4+1)

Let's multiply and find the value of x:

(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2

Hence, the correct answer choice is A

8 0
3 years ago
Whats the commisson of 660 in 10%
Sholpan [36]

Answer:

0,10×660=66

660-66= 594

6 0
3 years ago
Jon has $45.00. He plans to spend 4/5 of his money on sports equipment. How much will he spend
stich3 [128]
He will spend 80% of his money
5 0
3 years ago
Other questions:
  • What is the range of the data shown on the stem and leaf plot below?
    6·1 answer
  • MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE reposting cause no one answered them
    15·1 answer
  • A number is prime if and only if the number is not a multiple of 4. True or False?
    7·2 answers
  • What is the sum of the
    5·1 answer
  • WILL GIVE BRAINLIEST AND 20 POINTS!Simplify 4m 7m 12m 36m​
    15·1 answer
  • Simplify using the laws of exponents.
    12·1 answer
  • Lynne was wondering which game was more popular so she aksed her friends which they liked to play more, FortNite or Among Us. Sh
    11·2 answers
  • Please help<br><br>what is the measure in degrees of the highlighted ( the middle one) angle<br>​
    11·2 answers
  • Please help me I need the answers in 30 minutes!!
    8·1 answer
  • Three years ago, dedrick's age was a third of francisca's age. in 13 years, francisca's age will be twice dedrick's age. how old
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!