Quadrilateral ABCD is inscribed in a circle. m A is 64°, m B is (6x + 4)°, and m C is (9x - 1)°. What is m D?A. 64°
B. 82°
C. 90°
D. 98°
E. 116°

Answers

Answer 1

Answer: Answer: Choice D) 98 degrees

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Explanation:

The quadrilateral is inscribed in the circle which means every corner point (A,B,C,D) is on the circle. No part of the quadrilateral is outside the circle.

One property of inscribed quadrilaterals is that the opposite angles add to 180 degrees. So,
A+C = 180
B+D = 180

We know that
A = 64
B = 6x+4
C = 9x-1

Let's use angles A and C to find x
A+C = 180
64+9x-1= 180
9x+63 = 180
9x+63-63 = 180-63
9x = 117
9x/9 = 117/9
x = 13

Which helps us find angle B
B = 6x+4
B = 6*13+4
B = 78+4
B = 82 degrees

Then we can finally find angle D
B+D = 180
82+D = 180
82+D-82 = 180-82
D = 98 degrees

Answer 2

Answer:

Answer:

choiced c 98

Step-by-step explanation:

Related Questions

True or False? It's not possible to build a triangle with side lengths of 3, 3, and 3.
3x(-8)=29 what is x?
Im h--> 0 ((Sqrt 9+h)-3)/h
What is the value of D
What is the value of a in the equation 3a+b=54, when b=9

The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour, but get $30 per hour for each hour over 40 hours.Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 0 8 8 9 9.5 7.5 4
(*the numbers are in the exact order of the days*)
Which of the payment options would you recommend to a new employee?
a. Either one. Hourly and salaried employees earn the same amount per week. b. Hourly pay. Hourly employees make more per week than salaried employees.
c. Salaried pay. Salaried employees make more per week than hourly employees.
d. There is not enough information given to compare weekly earnings.

Answers

Answer:

b. Hourly pay. Hourly employees make more per week than salaried employees.

Step-by-step explanation:

Let's calculate the total number of hours an employee will work:

Total number of hours = $8+8+9+9.5+7.5+4$

= $46$

So total number of hours an employee will work is 46 hours.

An employee gets paid $30 per hour up to 40 hours.

Payment for 40 hours = $40*20$

= $800$

Payment for extra hours worked = $6*30$

= $180$

Total wage per week = $800+180$

= $980$

So total payment received per week = $980

Number of weeks per year = $(365)/(7)$

≈ $52$

Total payment per week for a salaried employee :

= $50,00/52$

= $961.5384$

Therefore, Hourly employees will get paid more per week than salaried employees.

Answer

b. Hourly pay. Hourly employees make more per week than salaried employees.

Answer:

The Answer is B

HELP PLEASE .... If the geometric mean between 3 and x is 6, find the value of x.

Answers

Answer:

Step-by-step explanation:

1. 3/6 = 6/x

2. Cross multiply: 3x=36

3. x=12

You are 6 feet tall and cast a 10 foot shadow. At the same time of day, your friendcasts a 9 foot shadow. How tall is your friend?

Answers

Answer:

5 feet tall

Step-by-step explanation:

Fourteen decreased by twice a number equals -32

Answers

your equation is 14-2x=-32

Step 1- subtract 14 on both sides

then your equation is 2x=-46

Step 2- divide 2 on both sides

then you get x= 23

x=23

Final answer:

To solve the equation, subtract 14 from both sides and divide by -2 to isolate the variable x, which equals 23.

Explanation:

To solve this equation, we can set up an equation using the given information: 14 - 2x = -32. To isolate the variable, we can first subtract 14 from both sides of the equation: -2x = -46. Then, we can divide both sides by -2 to solve for x: x = 23.

Learn more about Solving Equations here:

brainly.com/question/14410653

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A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential growth formula. Round your answer to the nearest million. P=Ae to the power kt

Answers

Answer:

171 million

Step-by-step explanation:

Given the exponential growth formula expressed as $P = Ae^(kt)$ where P is the countrys population and t is the time.

Initially in 1991, at t= 0, P = 147 million

$P = Ae^(kt)\n147 = Ae^(k(0))\n147 = Ae^0\n147 = A(1)\nA = 147$

If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';

$P = Ae^(kt)\n153 = 147e^(k(7))\n153 = 147e^(7k)\n153/147 = e^(7k)\ne^(7k) = 1.041\nTaking \ ln \ of \ both \ sides\nlne^(7k) = ln 1.041\n7k = 0.04018\nk = 0.04018/7\nk = 0.00574$

To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574

$P = Ae^(kt)\nP = 147e^(0.00574*26)\nP = 147e^0.14924\nP = 147*1.16095\nP = 170.659$