In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC.

m
SHOW PROPER WORK

Answers

Answer 1
Since angle A = 31°, C = 31°
Sum of all angles = 360°
So 2x + 62 = 360
x = 149°
Diagonals are perpendicular to each other, so triangle BOC has 90° + 31°:2 + 149°:2 = 90° + 15.5° + 74.5° = 180°

B = 74.5°
O = 90°
C = 15.5°

Related Questions

The cafeteria at San Isidro Elementary has 18 tables. Fourteen of the tables seat 14 students each and the rest of the tables seat 16 students each. What is the maximum number of students that can sit at the tables in the cafeteria at one time?

Answers

Answer:

You have to use the cafeteria-style formula where you multiply all the numbers  

Step-by-step explanation:

First u multiply

18 by 14 and then by 16

a. Multiplication Property of Equality
b. Division Property of Equality
c. Addition Property of Equality
d. Subtraction Property of Equality

Answers

It’s A “Multiplication Property of Equality”

please help, thank you guys

Answers

Step-by-step explanation:

1) 165⁰

2) 180⁰

Note:FOR initial temperature check the temperature at t=0

I hope it helped you

What is the circumference in centimeters the circle is 24 centemeters in diamater

Answers

Answer:

75.398 cm to the nearest thousandth.

Step-by-step explanation:

Circumference = π * diemeter

= 24π

= 75.3982 cm

Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. let a be the event that the person has gone surfing, and let b be the event that the person has gone snowboarding. a 4-column table has 3 rows. the first column has entries has surfed, never surfed, total. the second column is labeled has snowboarded with entries 36, 12, 48. the third column is labeled never snowboarded with entries 189, 63, 252. the fourth column is labeled total with entries 225, 75, 300. which statement is true about whether a and b are independent events? a and b are independent events because p(a∣b) = p(a) = 0.16. a and b are independent events because p(a∣b) = p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.16 and p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.75 and p(a) = 0.16.

Answers

Using the concept of independent events, it is found that the correct statement is:

a and b are independent events because p(a∣b) = p(a) = 0.75.

When are two events independent?


Two events, A and B, are independent if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, the events are:

Event A: Surfing.Event B: Snowboarding.

In this problem, out of 300 students, 225 have surfed, hence:

[tex]P(A) = \frac{225}{300} = 0.75[/tex]

48 have gone snowboarding, hence:

[tex]P(B) = \frac{48}{300} = 0.16[/tex]

36 have done both, hence:

[tex]P(A \cap B) = \frac{36}{300} = 0.12[/tex]

The multiplication is:

P(A)P(B) = 0.75 x 0.16 = 0.12.

That is, the probability of A given B is P(A|B) = P(A) = 0.75, hence they are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Answer:

the answer is B

Step-by-step explanation:

Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t


Find the theoretical and practical domains of the equation.

Select ALL correct answers.

Question 4 options:

The practical domain is all real numbers.


The theoretical domain is all real numbers.


The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.


The practical domain is all real numbers greater than or equal to one and less than or equal to two.

Answers

The theoretical domain is all real numbers greater than or equal to one and less than or equal to two. Then the correct option is C.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

Kellen runs for at least 1 hour but for no more than 2 hours. He runs at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d = 6.6t

Then the domain of the function d will be a real number.

But in the problem, the value of t is more than or equal to one but less than or equal to two.

1 ≤ t ≤ 2

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

What is the mean, median, and mode for 5, 18, 36, 13, 5, 3, 7, 17

Answers

Answer:

mean = Efm÷N

Step-by-step explanation:

mark me as brainlist

A 9-pound bag of sugar is being spilt into containers that hold 2/3 of a pound. How many containers of sugar will the 9-pound bag fill?

Answers

in essence, how many times does 2/3 go into 9?  well, is just a division, so

[tex]9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}[/tex]

What is the median of this data set?


{43, 42, 43, 37, 38, 36, 39}


Enter your answer in the box

Answers

Answer:

39

Step-by-step explanation:

1- Put your numbers in acending order

2- cross out the first number and the last number until you are in the middle number

3- the number is 39

Answer: 39

Step-by-step explanation: I took the quiz myself and that was the answer.

f(x) = 32
g(x) = 5x + 2
Find
(1) (a). Include any restrictions on the domain.
O A.
---
+2
3.
5.1+
33
A. A
(1) (a) = 5, 2 > 0
B. (1) (z) = 72,2 +0
c. (1) (a) = 1,2+ -
OD (1) (a) = 4+1
--
52
522)

Answers

B? If you need any help please ask me

Find the equation of the perpendicular bisector of line MN

Answers

Answer:

Y=(-1/2)x+9/2

Step-by-step explanation:

For straight lines y=mx+c

m=gradient

Find the gradient first-m=(y2-y1) /(x2-x1)

Take the points M and N and substitute in the equation

m=(5-2)/(-1-5)

m=-1/2

Gradient of line MN×gradient of perp line =-1

There fore gradient of perp line =2

What is the mean of this data set? 3, 5, 10, 11, 15

Answers

Answer:

8.8.

Step-by-step explanation:

There are 5 values so:

mean = (3+5+10+11+15)/ 5

= 44/5

= 8.8.

What is true when a system of equations has no solution?


The lines intersect in one place.


The lines are parallel and do not intersect.


The lines coincide (are the same line).


This is impossible

Answers

Answer:

D. This is impossible

Step-by-step explanation:

In math, when you solve an answer and you’re given no solution, it means that whatever equation you just did cannot be solved, and is therefore, impossible; there is no answer.

Side note: If you have any further questions feel free to let me know.

Answer:

B. The lines are parallel and do not intersect.

Step-by-step explanation:

1. A toy company finds there is a linear relationship between p, the price they charge for a playground ball, and n(p), the number of balls they sell during a year. When they charge $3, they sell 8000 balls during the year. However, sales drop to 5200 balls when they charge $5 each.
a. Write an equation for the linear function n(p).
b. Use your function to determine the number of balls they can expect to sell during the year if they charge $6.50 for a ball.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The general form of a linear function can be written as:

n(p) = kp + C      where k and C are constants.

So substituting the given data:

8000 = 3k + C

5200 = 5k + C    Subtract

2800 = -2k

k = -1400

and C = 8000 - 3(-1400) = 12200

a. So the equations is:

n(p) = -1400p + 12200

b.

For a charge p of $6.50;

n(p)  = -1400*6.5 + 12200

= 3100 balls.

Yo I need to bring up my math grade bad so
find the perimeter of the triangle
5ft. 12ft. (that's all )
please show step by step

Answers

Answer:

Step-by-step explanation:

Triangle - 3 sides

Perimeter - Add

5ft + 12ft = 17ft

Which expression is equal to:
4b + 4c / z

a. 4(b + c) / z
b. 4b(4c / z)
c. 8bc / z
d. (b + c) ● (4+z)

(marking brainliest)

Answers

Answer: Choice A

4(b + c) / z

Reason:

We factor 4 from 4b+4c to get 4(b+c). The z in the denominator stays where it is. This factoring is possible because of the distributive property.

This is why [tex]\frac{4b+4c}{z}[/tex] is the same as [tex]\frac{4(b+c)}{z}[/tex]

Side note: you should use parenthesis to write (4b+4c)/z, which indicates all of 4b+4c is over top the z. This is because 4b+4c/z might get mistaken for [tex]4b+\frac{4c}{z}[/tex]

Find the surface area of the cylinder (please help)

Answers

Answer:

surface area we can also take it as total surface area

9 is the radius and 5cm is the height . as they asked total surface area we have to take the area of base so tht we can make it as

total surface area = csa of cylinder + area of base

we know that,

2pirh+pir²

pir(2h+r)

pir(2×5+9)

pir(10+9)

pir(19)

22/7×9×19

3762/7

=> 537.42 cm² is the answer.

2πr²+2πrh

Step-by-step explanation:

2/1*22/7*9/1*9/1+2*22/7*5/1*9/1

2*22*9+2*22*5*9

369+990

answer= 1359

An orchard sells 4 pounds of apples for one dollar how much would 5 pounds of apples cost

Answers

Answer:

1.25

Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25

How does graphing two sets of data on one graph help you see patterns?

Answers

Answer:

~Shoto todoroki here~

The Mathematical tables and graphs are a good way to represent patterns. It helps to organize data and can reveal the relationships, making it easier to write equations that describe the patterns.

(Hope this helps!)

What number, when divided by 6, is equivalent to 15?

n=90
n=5/2
n=4
n=15

Answers

Answer:

90

Step-by-step explanation:

15+15=30

3x30=90

What divided by 6 equals 15?

Therefore, the answer to what divided by 6 equals 15 is 90. You can prove this by taking 90 and dividing it by 6, and you will see that the answer is 15. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 15?", all you have to do is multiply the two known numbers together.

Therefore, n=90 is your correct answer

Which of the following describes an example of mutually exclusive outcomes A and B for throwing a single 6-sided
die?
A = the outcome is odd, B = the outcome is 3
A = the outcome is in {1,2,3,4}, B = the outcome is in {4,5,6)
A = the outcome is odd, B = the outcome is even
A = the outcome is less than 6, B = the outcome is more than 1

Answers

Answer:
A=the outcome is odd, B=the outcome is even
Is mutually exclusive because you can't have a number that is even and odd at the same time.
Hope this helps :)

help me i dont really understand

Answers

Answer:

73

Step-by-step explanation:

12(6) + 1/4 • 2^2

Square the 2 first.

12(6) + 1/4 • 4

Then multiply from left to right.

72 + 1

Lastly, add.

73

The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.

Choose all expressions that are
equivalent
1 (y + x)
x+y
x-y
0 (y + x)
0 + (y + x)

Answers

Answer:

1 (y + x)

(x + y)

Which graph represents y as a function of X?
A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Vertical line test. Draw vertical lines (you don't have to actually draw them, imagine them) across the relation. If any line intersects two portions of the relation, it is not a function.

Which statement correctly describes the scatter plot?

Answers

Answer:

b

Step-by-step explanation:

What is the unit rate for headphones if eight headphones cost $390.92



Help me pls I need the unit rate too !

Answers

$48.865 per headphone

unit rate : total cost/total items

unit rate:

390.92/8

48.865

Each headphone costs $48.865

12. Ms. Hall wants to buy 2 pairs of shoes. It was buy one at original price of $70 and get one 25% off. How much will Ms. Hall pay for her shoes?

Answers

Answer:

17.50

Step-by-step explanation:

You have 976 grams of a radioactive kind of rhodium. How much will be left after 120 seconds if its half-life is 30 seconds?
grams

Answers

there will be approximately 61 grams of the radioactive rhodium remaining after 120 seconds.

What are exponential growth and decay?

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

Given, You have 976 grams of a radioactive kind of rhodium.

The formula for the amount of a substance remaining after a certain amount of time given its half-life is:

N = N₀ *[tex](1/2)^{t / t_{1/2} }[/tex]

where:

N₀ is the initial amount of the substance

N is the amount of the substance remaining after time t

t₁/₂ is the half-life of the substance

In this problem, N₀ = 976 grams, t = 120 seconds, and t₁/₂ = 30 seconds. We can plug these values into the formula and solve for N:

N = 976 * (1/2)⁽¹²⁰/³⁰⁾

N = 976 * (1/2)⁴

N = 976 * 0.0625

N ≈ 61

Therefore, after 120 seconds, there will be approximately 61 grams of the radioactive rhodium remaining.

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

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Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Answer:

choice B- no

Step-by-step explanation:

We have been given that Nate has 100 bananas. He will eat 2 of them every day.

Let x represent number of days. So bananas eaten in x days would be .

Total number of bananas, y, left after x days would be

We know that two proportional quantities are in form , where, k is constant of proportionality.

Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.

What mistake did Lindsay make?

Answers

Answer:

Step-by-step explanation:

Discussion and Correction

The algrebra  itself is fine. The exclusions are not so good. The difficulty comes in the denominator. It factors into (2x)(x - 3). x cannot take on a value of 0 (that was pointed out and that is correct). The problem comes in the plus/minus 3. Plus 3 is correct. x - 3 will come 0 if x = 3. Nothing bad will happen if x = - 3

Answer: So the exclusions in the denominator should be modified to x = 3.

Answer:

The excluded values are x-values that make the denominator of the original expression zero, since [tex]\dfrac{a}{0}[/tex] is undefined.

[tex]x = -3[/tex] is not an excluded value since this x-value does not make the  denominator zero.

[tex]x = -3[/tex] makes the numerator zero, but as [tex]\dfrac{0}{a}=0[/tex] it is not an excluded value.

Therefore, step 3 of her work should read:

[tex]\textsf{Finding excluded values}:x\neq 0\:\textsf{and}\:x\neq 3[/tex]

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