In the figure above, ABCD is a cyclic quadrilateral. What ja the value of x in degrees?

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

The diagram makes the line AB look like it is tilted a bit to the right. I'm going to assume that isn't right. AB extended is a straight line. ADC is supplementary to the 80o angle.

Solution

<ADC + 80o = 180 They are on the same straight line

<ADC = 180 - 80 Subtract 80 from both sides

<ADC = 100o

Opposite angles of a cyclic quadrilatral are supplementary

<ADC + <ABC = 180 Property of cyclic quadrilaterals

100 + <ABC = 180 Subtract 100 from both sides

<ABC = 80 degrees.

<x + <ABC = 180

<x + 80 = 180

<x = 100 degrees

Discussion

I cannot be sure what the arc at B is equal to. Is the arc = 80 o or is <ABC = 80. And it is unresolvable. My suggestion is that you ask your teacher.

Related Questions

1) Find the value of x. Round to the nearest tenth.

Answers

Answer:

x ≈ 12.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{x}[/tex] ( multiply both sides by x )

x × tan35° = 9 ( divide both sides by tan35° )

x = [tex]\frac{9}{tan35}[/tex] ≈ 12.9 ( to the nearest tenth )

A school is holding its annual book fair. The line plot below shows the amount of books students have bought
What is the experimental probability that a student will buy 3 books?

A.4/15

B.3/15

C.4/3

D.4/9

Answers

A.

Explanation;

Just count all the people who bought books, then the people who bought books, giving you 4/15

2) A block of cheese weighs 0.6 kg. The block is cut into smaller pieces. Each piece weighs 0.05 kg. How many pieces are there? (Show the division equation to solve for this word problem before showing multiplication to solve.)

Answers

Answer:

0.6/0.05

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

Step-by-step explanation:

number of pieces = total weight of the cheese / weight of each piece

0.6 / 0.05

to divide easily, convert the decimals to whole number by multiply both the denominator and numerator by 100

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

Barry is saving up to put new tires on truck the tires will cost 860 he has 180 plans to save 68dollars a week how many weeks will it take to save his money

Answers

Answer:

167.36 weeks

Step-by-step explanation:

Given: Currently has $180, the cost is $860, and he plans to save $68 a week

To find: How many weeks will it take to save his money

Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money

860 ÷ 68 = 12.64

Subtract 180 because he already has $180 saved currently

180 - 12.64 = 167.36

Hence, it will take approximately 167 weeks to save his money up to $860

8.11 as a mixed number

Answers

Answer:

8 11/100

Step-by-step explanation:

8.11 is the same thing as 8 whole numbers and since the .11 is in the hundreths place, it becomes 11/100.

Mark and his three friends ate out at Applebee’s. Their bill totaled $52. If they left the server a 20% tip, how much would each person pay if they split the bill evenly? *

Answers

Answer:

$15.71 each

Step-by-step explanation:

I just followed the answer sheet

Answer:

$13.05

Step-by-step explanation:

Given: Mark and his 3 friends = 4 Total cost = $52, percent off: 20%

To find: How much each person would pay if they split the bill evenly.

Solution:

Firstly, since they left the server a 20% tip, multiply 20% by the total cost. Convert it to a fraction. Note: you're adding 20% to the total cost.

[tex]\frac{20}{100}[/tex] + [tex]\frac{52}{1}[/tex]

= [tex]_{52.2}[/tex]

Now, that is done, let's divide the newly found cost by the four friends.

[tex]\sqrt[4]{52.2}[/tex]

= [tex]{13.05}[/tex]

So, they would pay $13.05 evenly.

If 10x+6y=7 is a true equation, what would be the value of 6(10x+6y)?

Answers

Answer:

Step-by-step explanation:

We know that 10x + 6y = 7, and so

6(10x + 6y) = 6(7) = 42

A relative asked her aunt that lives in Canada to send her some money to help her pay for her school tuition in the US. Her aunt sent her CAN $9,000. How much would that amount be in US currency? USD $1.00 = CAN $1.25

Answers

The answer is 7175.55 USD

One card is drawn from a standard 52-card deck and then replaced, and then a second
card is drawn. What is the probability that the first card is a red 8 and the second is a
black 10?

Answers

Answer:

1/676

Step-by-step explanation:

In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)

P( red 8) = number of red 8's/ total

= 2/52 = 1/26

Then we put the card back so there are still 52 cards

In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)

P( black) = number of black 10's/ total

= 2/52 = 1/26

Multiply the probabilities together

P( red 8, black 10) = 1/26 * 1/26 = 1 /676

1/676

Step by step explain action

Evaluate the function: f(-1/2)=8(-1/2)-3

Answers

Answer:

[tex]f=14[/tex]

Step-by-step explanation:

is the answer a,b,c or d

Answers

Answer:

C) SSS

Step-by-step explanation:

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal.

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

HELP ASAP I NEED TO PASS THIS

Answers

I don’t think it’s c it is c

Help me pls TwT, I’m terrible at math

Answers

Answer:

The answer is 49

Step-by-step explanation:

Rate of change= (f(b)-f(a))/(b-a)

a = 3 and b = 5

Rate of change = (125-27)/(5-3)

= 49

A number line shows 114, −224, and −134. Which statement is NOT true?

Answers

Wat statement are u talking abt

Answer:

1/1/4<−2/2/4, because 1/1/4 is located to the right of −2/2/4 on the number line.

Step-by-step explanation:

Help and no links pls

Answers

Answer: -1

Step-by-step explanation:

x is the slope and the value of x is negative one.

If x = 15 units and h = 4 units, then what is the area of the triangle shown above?
A. 8 square units
B. 30 square units
C. 60 square units
D. 90 square units

Answers

Answer: B. 30 square units

Step-by-step explanation:

Area of triangle formula is base x height divided by 2 so we do 15 * 4 = 60/2 = 30 units

Find the volume of the triangular prism below 5mm 12mm 3mm

Answers

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

A neighborhood watch association surveyed 40 neighbors about their feelings of safety in the neighborhood. They were surveyed an additional 80 neighbors. Based on the information predict how many of the 80 neighbors feel safe?

Unsafe: 12
Neutral: 10
Safe: 18

Answers

Answer: 24 feel unsafe 20 feel neutral and 36 feel safe

Step-by-step explanation: If you multiply the total neighbors by 2 the answers should be multiplied by 2.

The actual distance between Kalamazoo and Ann Arbor is miles.

Answers

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

Answer:

Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).

1 hr 36 min (98.3 mi)

Step-by-step explanation:

how do you simplify 3(j-2k)+4 ?

Answers

Answer: 3j-6k+4

Step-by-step explanation:

First you have to distribute the 3 to the j and the -2k since they are both in the parentheses. So it would look like (3*j) +(-2k*3)+4 and if you simplify that it is 3j-2k+4. After that there are no like terms so that is your answer.

Please answer correctly !!!!!
Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer: 30 boys 45 girls

Step-by-step explanation:

The vertices of ΔJKL are J(–3, –2), K(1, 4), and L(4, 2). Which coordinate pairs are vertices of D5(ΔJKL)? Select all that apply.

Answers

Answer:

J' = (-15, -10)

K' = (5, 20)

L' = (20, 10)

Step-by-step explanation:

Given the coordinates J(–3, –2), K(1, 4), and L(4, 2)

D5(ΔJKL) means we need to dilate the coordinates by a constant of 5

To do that, we will multiply the coordinates by a value of 5

D5(ΔJKL)

J' = (5(–3), 5(–2)),

J' = (-15, -10)

K' = (5(1), 5(4))

K' = (5, 20)

L' = (5(4), 5(2))

L' = (20, 10)

54 as a fraction of ____ is equivalent to 9/10

Answers

Answer:

54 as a fraction of 60 is equivalent to 9/10

Step-by-step explanation:

54/x = 9/10

54 * 10 = x * 9

6*9 * 10 = x * 9

6 * 10 = x

x = 60

I need a answer fast pls help

Answers

the radius is 2.5 all you had to do was divide 5 by 2 lol

Answer:

2.5

Step-by-step explanation:

The radius is any line from the middle of the circle to the end of the circle. The diameter is a chord which is a line going from any end of the circle to the other end but the diameter crosses though the point which is in the middle.

So, you split the diameter in half. 5/2 = 2.5

210 is what percent of 500?

Answers

Answer:

hope this answer helps you!

The answer is 42

Explanation:

Step 1: We make the assumption that 500 is 100% since it is our output value.

Step 2: We next represent the value we seek with X.

Step 3: From step 1, it follows that 100%= 500.

Step 4: In the same vein, X%= 210.

Step 5: This gives us a pair of simple equations:

100%= 500(1)
X%=210(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

100%/X%= 500/210

Step 7: Taking the inverse (or reciprocal) of sides yields
X%/100= 210/500
X= 42%

Find the sine and cosine of angles A and B in the figure.

1. sin A = _______
cos A = _________

2. sin B = _______
cos B = _________

Answers

When showing for sin and cos remember SOH-CAH-TOA sin- side over hypotenuse and cos- adjacent over hypotenuse

The growing seasons for a random sample of 34 US cities were recorded, yielding a sample mean of 188.1 days And the population standard deviation of 53.1 days. Estimate the true population mean of the growing season with 95% confidence

Answers

Answer:

(170.251 ; 205.949)

Step-by-step explanation:

Sample size, n = 34

Sample mean, xbar = 188.1

Population standard deviation, σ = 53.1

Confidence level = 95% ; Zcritical at 95% = 1.96

Using the confidence interval relation :

Xbar ± standard Error

Standard Error = Zcritical * σ/√n

Standard Error = 1.96 * 53.1/√34

Standard Error = 17.849

Lower boundary = (188.1 - 17.849) = 170.251

Upper boundary = (188.1 + 17.849) = 205.949

(170.251 ; 205.949)

Light travels at approximately 2.998 x 10^5 kilometers per second. There are 6.048 x 10^5 seconds in one week. About how many kilometers does light travel in one week?
A 1.813 x 10^5

B 1.813 x 10^10

C 1.813 x 10^11

d 1.813 x 10^25

Answers

1813+ 1011 is your answer

What is the total surface area of this cylinder?
Select one.
o
1,539.38 inches squared
O
O
923.16 inches squared
O
307.72 inches squared
O
1.230.88 inches squared

Answers

I think is is 923.16 inches squared

What is the perimeter of the triangle?

Answers

Answer:

P = 38

Solution

P=a+b+c=15+8+15 = 38

PLZ GIVE BRAINLIESTTTTT

37 units
if i can count properly

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