Triangle BCD is isosceles and BC ≅ BD. Circle A is shown. Isosceles triangle C B D has points on the circle. The lengths of C B and B C are congruent. The measure of arc C D is 100 degrees. What is the measure of Arc B C? 100° 120° 130° 160°

Answers

Answer 1

Answer:

130

Step-by-step explanation:

since bc and bd equal the same thing, plug in every answer option until you get to 360.

(130 x 2) = 260

plus cd = 100.

260 + 100 = 360.

Answer 2

The arc length is twice the inscribed angle.

The sum of the three angles must be 180.

The measure of the arc length BC is 130°

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle BCD is isosceles and BC ≅ BD.

Isosceles triangle C B D has points on the circle.

The measure of arc CD is 100 degrees.

This means,

We know that the arc length is twice the inscribed angle.

2 x Angle B = CD

2 x Angle B = 100

Angle B = 100/2

Angle B = 50

Now,

In an isosceles triangle, the angle opposite to the equal sides must be equal.

The sum of the three angles must be 180.

x + x + 50 = 180

2x = 180 - 150

2x = 130

x = 65

Now,

We know that the arc length is twice the inscribed angle.

So,

The measure of the arc length BC.

= 2 x 65

= 130°

Thus,

The measure of the arc length BC is 130°

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Related Questions

If a bear and half give birth to a cub and a half in a day and a half, how many Cubs will six bears give birth to in seven days?

Answers

Answer:

28 cubs

Step-by-step explanation:

See ratios and step changes below

Bears  >>  Cubs  >>    Days1.5              1.5             1.51.5              1                 11.5              7                76                28             7

PLEASE HELP!!!!!! NO FILES OR LINKS!!!!!! PUT YOUR ANSWER THERE PLEASE!!!!!
Solve each equation.
13a=-5


12−b=12.5


-0.1=-10c

Answers

Answer: ⁻[tex]\frac{5}{13}[/tex] , 24.5 , 0.01

Step-by-step explanation:

13a = -5

[tex]\frac{13a}{13}[/tex] = ⁻[tex]\frac{5}{13}[/tex]

12 - b = 12.5

b - 12 + 12 = 12.5 + 12

b = 24.5

-0.1 = -10c

-10c ÷ (-10) = -0.1 ÷ (-10)

c = 0.01

Easy math worth 50 points Bc I’m desperate lol but I swear it’s not that hard only I can’t do it

5 ounces of soybean oil which costs $1 per ounce were combined with 10 ounces of canola oil
which costs $4 per ounce. Find the cost per ounce of the mixture.

Answers

Answer:

Step-by-step explanation:

45 buckarooss

easy collect money if there's 5 oz for $1 per ounce soybean oil would cost $5 for 5 OZ and then $4 for every ounce of canola oil 4 * 10 equals 40 so if equal $45 combined from both oil of ounces

Answer:

45$

Step-by-step explanation:

[tex]S=5*1\\S=5\\C=10*4\\C=40\\S+C\\5+40=45[/tex]

S= soybean oil cost

C= canola oil cost

PLEASE HELP!!! The amount of polonium-210 remaining, P(t), after t days in a sample can be modeled by the exponential function P(t) = 100e−0.006t, where 100 represents the initial number of grams in the sample. What is an equivalent expression, written as a percentage rate of polonium-210 lost, and how much polonium-210 remains (rounded to the nearest whole number) after 16 days?

Hint: Find the value of e−0.006 on your calculator. (7 points)

P(t) = 100e0.006t, 109 grams remain
P(t) = 100e0.994t, 3 grams remain
P(t) = 100(0.994)t, 91 grams remain
P(t) = 100(0.994)−t, 91 grams remain

Answers

Answer:

[tex]P(t)=100(0.994)^t[/tex]

Step-by-step explanation:

A calculator shows the value of [tex]e^{-.006} \approx 0.994[/tex] meaning that each day, about 99.4% of the sample remains.

The formula [tex]P(t)=100e^{-0.006t} = 100(e^{-0.006})^t=100(0.994)^t[/tex]

Evaluate this at t = 16 to get 91 grams remain.

Each serving of a certain fruit snack contains 90 calories. a) Han wants to know how many calories he gets from the fruit snacks. Write an equation that shows the number of calories, c, in terms of the number of servings, n.

Answers

Answer:

c = 90n

Step-by-step explanation:

Let

Number of calories = c

Number of servings = n

Calories per serving = 90

Number of calories = Calories per serving × Number of servings

c = 90 × n

c = 90n

For example, if the number of servings is 4

c = 90n

c = 90 × 4

c = 360 calories

which number is irrational A. 2.7 B. -2. 7 C. 2/7 D. √7​

Answers

Answer:

D

Step-by-step explanation:

because [tex]\sqrt{7}[/tex] is radical



Please help me it is due tomorrow!!

Answers

answer is 5/8
1 1/4 is equal to 5/4.
5/4 divided by 2 is 5/4x2 which is 5/8

someone please help with this asap!!

Answers

Don’t use that link!! They always comment under my stuff and other people have told me that’s just to get your information and location and stuff like that! Be safe and have a nice day

A tank contained 80 liters of water. The function “w” represents the relationship between “t”, time in minutes, and the amount of water in the tank in liters. The equation w(t) = 80 - 2.8t defines this function. How would the graph of the inverse function of compare to the graph of “w”? PLEASE HELP!!

Answers

w(t) tells you the amount of water w at a given time t.

The inverse function tells you at which time t the tank contains an amount of water w.

To get the inverse function, solve the equation

w = 80 - 2.8t

for t :

w = 80 - 2.8t

2.8t = 80 - w

t = (80 - w) / 2.8

t ≈ 28.57 - 0.357 w

The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).

Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the nearest hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656) 0.43 cubic yard 0.65 cubic yard 0.89 cubic yard 1.13 cubic yards

Answers

Find cubic feet :

0.5 x 6 x 8 = 24 cubic feet.

Divide cubic feet by 27 to get cubic yards

24/27 = 0.89 cubic yards

Answer:

24

Step-by-step explanation:

i think

1 Professor Peterson is buying a writing
desk. The width of the desk must be less
than 4 ft.
HELP

Answers

What is the question

The inequality of the width of the desk must be less than 4 ft is w < 4.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Inequalities are mathematical statements that compare two expressions using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).

In this case, the problem states that the width of the desk must be less than 4 ft.

We can use the symbol "<" to indicate that the width (w) is smaller than 4 feet. Therefore, we can write the inequality as w < 4, which means that any value of w that is less than 4 feet satisfies the given condition.

Thus,

The width of the desk must be less than 4 ft is w < 4.

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Graph the function.
y = y = one-half x squared + 2 x minus 8
a.
On a coordinate plane, a parabola opens up and goes through (negative 3, 1), has a vertex at (0, negative 8) and goes through (1, negative 3).
c.
On a coordinate plane, a parabola opens up and goes through (negative 4, 0), has a vertex at (negative 2, negative 2), and goes through (0, 0).
b.
On a coordinate plane, a parabola opens up and goes through (negative 6.5, 0), has a vertex at (negative 2, negative 10), and goes through (2.5, 0).



Please select the best answer from the choices provided


A
B
C

Answers

C. Po oara saken po
Sorry po

On a coordinate plane, a parabola opens up and goes through (-6.5, 0), has a vertex at (-2, -10), and goes through (2.5, 0).

The correct option is B.

What is parabola?

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Given:

A function,

y = x²/2 + 2x - 8

The graph of the function is given in the attached image.

The vertex of the parabola is (-2, -10).

On a coordinate plane,

a parabola opens up and goes through (-6.5, 0), has a vertex at (-2, -10), and goes through (2.5, 0).

Therefore, a parabola opens up and goes through (-6.5, 0), has a vertex at (-2, -10), and goes through (2.5, 0).

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A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages.
What is the probability that you turn to page 45?

Answers

I believe your answer is 1/428
Because 45 only appears once

2x + 4x + 1 =- 7x
What is the answer?

Answers

Answer: -1.3

Explanation:
1.) Combine like-terms: 6x + 1 = -7
2.) Inverse Operation: 6x = -8
3.) Get the variable alone: -8 / 6

X = 10
3x + 5y = 20
What is the solution (x,y) of the system of equations?

Answers

3x+5y= 20

3(10)+5y= 20
30+5y= 20
-30 -30
——————
5y=-10
———-
5 5

y = -2

(10,-2)


Answer: (10,-2)

Answer:

X=10

Y=-2

Step-by-step explanation: The value of X is given therefore you use it to find the value of Y in the equation:

3(10)+5y=20

5y=20-30

5y=-10

5y/5=-10/5

5 is cancelled out leaving y=-2

I hope this helps. :)

HELP ASAP!!!! thank you if you helped!!!

Answers

It’s D


I did the work on a calculator and eliminated all the other answer choices.

Can someone please help me with this

Answers

Answer:

B

Step-by-step explanation:

from the equation of motion

h=ut -1/2 at^2

Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?

Please include an equation.

Answers

Answer:

12

Step-by-step explanation:

Answer:

9 kids tickets

Step-by-step explanation:

Let k = no. of kid's tickets

12 - k = no. of adult's tickets

9.50(12 - k) + 6.50k = 87

95(12 - k + 65k = 870

1140- 95k + 65k = 870

- 30k = -270

k = 9 kids

Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
a. What is the total running distance of the four runners?

b. Jada ran how much farther than Noah?

Answers

Answer:

26.56300     1.97700

Step-by-step explanation:

You add up all of them which was 26.5630 then you do 7.1-5.123+1.97700

Answer:

a. 26.563 milesb. 1.977 miles

Step-by-step explanation:

Given,

Distance Noah ran = 5.123 miles

Distance Andre ran = 6.34 miles

Distance Jada ran = 7.1 miles

Distance Diego ran = 8 miles

Hence,

a. Total running distance of four runners

= (5.123 + 6.34 + 7.1 + 8) miles

= 26.563 miles (Ans)

b. Distance more ran by Jada than Noah

= (7.1 - 5.123) miles

= 1.977 miles (Ans)

What is the probability of getting 1 or 5 if a dice is thrown once?

Answers

Answer: %16.6

Step-by-step explanation:

there is 6 numbers on a dice

Step-by-step explanation:

1/6

because probability comes between 0 to 1

so ans is:

0.6

What is the significance of the value 0.31 in the context of the data? A It represents the probability that a student in Mr. Lopez's classes does not have chores. B It represents the probability that a student in Mr. Lopez's classes does not receive an allowance. C It represents the probability that a student in Mr. Lopez's classes either does not have chores or does not receive an allowance. D It represents the probability that a student in Mr. Lopez's classes does not have chores and does not receive an allowance.

Answers

Step-by-step explanation:

The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference

_______ is the amount of space________ a two-dimensional shape. It can be measured in units such as_______ or _________

Answers

Answer:

Area; inside; centimeters; meters.

Step-by-step explanation:

Area is the amount of space inside a two-dimensional shape. It can be measured in units such as centimeters or meters.

In Mathematics, it is typically used to measure the amount of space contained in two-dimensional shapes such as a square, rectangle, circle, sphere, etc.

Consider the area of the following shapes;

I. The area of a circle = πr²

Where, r is the radius of the circle.

II. Area of square = L²

Where, L is the length of its sides.

III. Area of rectangle = Length * width.

Answer:

Area; inside; centimeters; meters.

Step-by-step explanation:

Area is the amount of space inside a two-dimensional shape. It can be measured in units such as centimeters or meters.

Find the volume of Figure B.

Answers

Answer:

where?

Step-by-step explanation:

i think you forgot to put the picture lol.


Prateek, Dipti and Manoj jogs daily in the morning around a square park,
they take, 6 mins, 5 mins, and 10 mins respectively to take one complete
round. In one morning, all of them start at same time from the same point and
jog in the same direction for an hour.
A- After how many minutes will all three of them meet again? (30 min)
B- How many times will they meet together during the one hour period?
C- What physical and emotional values can be created through this exercise

STEP BY STEP ANSWER

Answers

Answer:

A

To solve this find the LCM of 6, 5 and 10

6 = 2*35 = 510 = 2*5LCM(6, 5, 10) = 2*3*5 = 30

They will all meet after every 30 min

B

1 hour / 30 min = 60 min / 30 min =2 times

C

Physical and emotional health

PS
Mike has attempted 84 free throws. Of those attempted,
63 have gone in the basket. Based on this rate, what is the
probability that Mike's next free throw attempt will go in
the basket?

Answers

Answer:

63 ÷ 84 = 0.75 // 75% // 3/4

Step-by-step explanation:

63 divided by 84 equals 0.75, 75%, or 3/4. meaning the probability of Mike making his next free throw 75%

Can someone please help me !!!!!

Answers

Answer:

Step-by-step explanation:

Sorry I didn't mean to do that.

A map says that 4 centimeters represents 10 kilometers. What is the real distance that 18 centimeters represents?

Answers

Answer:

The real distance that 18 centimeters represent is 45 kilometers.

Step-by-step explanation:

In this case, you can use a rule of three to find the real distance that 18 centimeters represent given that 4 centimeters represent 10 kilometers:

4 cm    →    10 km

18 cm   →        x

x=(18*10)/4

x=45 km

According to this, the answer is that the real distance that 18 centimeters represent is 45 kilometers.

What is the coefficient in this expression?
2X-8
a
2
b
х
C
001
d

Answers

I'm no expert but I've done this before I'm pretty sure its D. 2

What is the unknown angle measure in an equilateral triangle that has two angles of 60 degrees each?

Answers

Answer:

The third side will also be 60 as it is an equilateral triangle

A bird is flying at an altitude of 400 feet and descending to its nest located in a tree 20 feet above the ground. The angle from the nest to the bird is 24 degrees. Approximately how far is the bird from the nest.
ANSWER:
The answer is 934 If you make a right triangle with 380 as the height because the bird has 380 ft to go until the nest then you make the angle 24 opposite to that side. After you use sin to find the missing side which is 380/x= sin24 the answer you get is rounded.

Answers

Answer:T he bird will land at a radios of 20 feet in th air.

Step-by-step explanation: The object is falling 380 feet out of the air out of 400.

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