The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.
What are vertically angles?
Vertical angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
Given that
∠BOC+∠AOC=280o (AB and CD intersect at point E)
we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC
we know that, ∠AED=∠BEC
so it can be written as
∠AED+∠AED=180o,
2∠AED=280o,
∠AED= 140o,
∠AED=∠BEC=140o
we know that ∠AEC and ∠AEC form a linear pair
So it can be written as
∠AEC+∠AED=180
substituting the values
∠AEC+140o=180o
∠AEC=40o
we know that ∠AEC and ∠BED are vertically opposite angles
∠AEC=∠BED=40o
Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40
To know more about vertical angles, visit:
https://brainly.com/question/24460838
#SPJ9
Fiona has a coupon for $3 off the price of her meal at a local fast food establishment. her favorite meal is on sale at a special rate of 10% off the combo price. if fiona paid $8.25 for her meal, before taxes, what was the original price of the meal?
The Original price of the meal was $12.16.
Discount Percent is defined as the discount given on the product per hundred .
For Example . if there is 10% discount on a price of $100.
The final amount will be $90.
Final amount paid by Fiona = $8.25
percentage discount = 10%
Let the original amount be x.
According to the question ;
x - 10% of x = 8.25
[tex]x-\frac{10}{100} *x=8.25\\ \\ \frac{100x-10x}{100} =8.25\\ \\ \frac{90x}{100} =8.25\\ \\ x=\frac{8.25*100}{90}\\ \\ x=\frac{825}{90} \\ \\ x=9.16[/tex]
Since Fiona also had a discount coupon of $3.
The original amount will be $9.16+$3=$12.16.
Therefore , The original price of the meal was $12.16.
Learn more about Discount Percent here https://brainly.com/question/14587503
#SPJ4
11 The function f(x) is graphed on the set of axes
below. On the same set of axes, graph f(x + 1) +2.
Answer:
Step-by-step explanation:
your graph will love to the left one (x+1) makes it move left one and it will move up 2 which is the +2
What is the HCF of 8 and 12?
===============================================
Reason:
HCF = highest common factor
8 = 4*2
12 = 4*3
Both have 4 in common, and this is the largest such factor.
You can use factor trees as an alternative method.
What is 2 and 1 over 3 divided by 3 over 5?
PLEASE HELP MEEEEE. EXPLAINNNN
IMAGE INCLUDED
Answer:
i thing that's the answer
Help please I cant figure it out.
Both my numerator and denominator are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i
Assume your favorite soccer team has 4 games left to finish the season. the outcome of each game can be win, lose or tie. the number of possible outcomes is:________
The number of possible outcomes is 81
Count of Outcomes :
In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.
Let's come to the solution of the question:
Here, the number of possible outcomes for each game is 3 (win, lose, tie).
The total number of possible outcomes is given by:
= Number of outcomes for 1st game * Number of outcomes 2nd game
= 3*3*3*3
=81
Hence, The number of possible outcomes is 81
Learn more about Probability at:
https://brainly.com/question/26652854
#SPJ4
The shape below is made of two rectangles joined together.
3 cm
4 cm
6 cm
6 cm
15 cm
Find the total area of the shape.
Optional working
Answer:
+
cm²
The total area of the shape is 102 cm².
Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.
What is the area of the rectangle?The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.
We know that, the area of a rectangle = Length × Breadth.
So, the area of rectangle1 = 15 × 6 = 90 cm²
The area of rectangle2 = 4 × 3 = 12 cm²
Total area = 90+12 =102 cm²
Therefore, the total area of the shape is 102 cm².
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
SPJ1
$100 at 8% for 20 years
Answer: $466.1
Step-by-step explanation:
100*(1.08)^20=
100*4.661=$466.1
32-15x3-5(5-13+44)-33+3(576+13-375)
Answer:
416
Step-by-step explanation:
pemdas
mina's explanation: i counted up from 15.75 to 176.3 to find the difference. i underlined each number i added on each line.
160.55 is the difference. i underlined each number i added on each line.
What is an linear equation in math?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The two numbers are 15.75 and 176.3
First we will compare the numbers.
1. A=176.3
2. B=15.75
one's place of A is greater than once place of B.
tens place of A is greater than tens place of B.
Hundred place of A is greater than hundred place of B.
So, A>B
So we will subtract 15.75 from 176.3.
176.30 -15.75=
176.30 ----A
- 1 5.75 ----B
Hundreths place of A - Hundreths place of B = 0-5=10-5=5
Tenth place of A - Tenth place of B =12-7=5
ones place of A - ones place of B=5-5=0
Tens place of A - Tens place of B =7-1=6
So the solution is 160.55
Learn more about linear equation
brainly.com/question/11897796
#SPJ4
Find the median.
12, 5, 9, 18, 22, 25,
Answer:
the answer is =15
Step-by-step explanation:
12+18=30
30÷2
=15//
PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG
Shreya took 1/2 of a cake and shweta took 1/4 of the cake. What portion of the cake is left
Step-by-step explanation:
1/2 + 1/4
2/4 + 1/4= 3/4
1 - 3/4 = 1/4 is left
Answer:
There is 1/4 left
Step-by-step explanation:
Find the amount of cake left.
The entire cake is 1
1-1/2 - 1/4
Get a common denominator of 4
1 *4/4 = 4/4
1/2 *2/2 = 2/4
Using the common denominator
4/4 - 2/4 - 1/4
2/4 - 1/4
1/4
There is 1/4 left
) You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?
Considering the definition of an equation and the way to solve it, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseFirst, you define the variable "t" as the time for the landscaping company to work on the backyard renovation. You know that:
Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up.So the price of each company is:
Price of company A=50 + 10tPrice of company B=30 + 15tIf both companies equal the same price, the equation in this case is:
Price of company A= Price of company B
50+ 10t= 30 + 15t
Solving
50 - 30= 15t - 10t
20= 5t
20÷5= t
4=t
At this time, the price of both companies is
Price of company A= 50+ 10t= 50 + 10×4= 90Price of company B= 30 + 15t= 30 + 15×4= 90In summary, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.
Learn more about equations:
brainly.com/question/4983716
brainly.com/question/13314678
#SPJ1
f(m) = 3m^2 - 5
find (-2)
Answer:
f(- 2) = 7
Step-by-step explanation:
assuming you mean find f(- 2)
substitute x = - 2 into f(m)
f(- 2) = 3(- 2)² - 5 = 3(4) - 5 = 12 - 5 = 7
Answer:
7
Step-by-step explanation:
Plug in -2 for m:
f(m)=3(-2)^2-5
Simplify:
(-2)^2 or (-2)(-2)=4
f(m)=3(4)-5
3x4=12
f(m)=12-5
f(m)=7
If the interest rate is 12.5 percent, what is the present value of $200 received in one year?
177.78 is the present value of $200 received in one year.
What do interest rates mean?
An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.What is an example of interest rates?
The basic interest formula is as follows, for instance, if you take out a $20,000 loan with a five-year term and a 5% interest rate: $5,000 in interest results from multiplying $20,000 by.05 by 5.
PV=FV * (1+i)^-n
=200\1.125
= 177.78
Learn more about interest rates
brainly.com/question/13324776
#SPJ4
your friend is also saving pennies. she puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, each day doubling the number of pennies added. how much money would she have at the end of vacation, if she could keep saving at this rate? (this would be hard to do, even if bill gates were your dad!)
money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.
What does "compounding" mean?When interest is applied to a principal amount together with the interest that has already been paid, this process is known as compounding. This means that compounding, sometimes known as the "wonder of compounding," can be thought of as interest on the compound, which has the effect of increasing returns from interest over time.
What is an appropriate compounding procedure?Current good compounding practices refer to the minimal requirements for the procedures, facilities, and controls used to compound medicine to ensure that it has the identity, and strength, and satisfies the quality and purity requirements it is claimed to have.
According to the given information:She puts in one penny the first day, 2 pennies the second, 4 pennies the third...and so on.
The total sum is thus,
(1, 3, 7, 15, 31, 63, 127)
Which translate to
(2^1-1, 2^2-1, 2^3-1, 2^4-1, 2^5-1, 2^6-1, 2^7-1,..)
So at the end of the 75th day, the total amount is 2^75-1
or
37778931862957161709567 pennies
or
377,789,318,629,571,617,095.67 dollars.
money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.
To know more about compounding visit:
https://brainly.com/question/18958915
#SPJ4
I understand that the question you are looking for is:
Your friend is saving pennies. She puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, doubling the number of pennies added. How many much money would she have at the end of vacation, if she could keep saving at this rate? Vacation lasts 75 days.
IM GIVING 100 PTS TO WHOEVER ANSWERS THE FASTEST
Jayden went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 650 mg of sodium. Jayden purchased a total of 13 cans of soup and frozen dinners which collectively contain 4400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;
c + f = 13
200c + 650f = 4400
where; c is the number of cans of soup and f is the number of frozen dinners.
How to create a system of equations?Let us denote c as the number of cans of soup and f is the number of frozen dinners.
The total number of items is 13 and so, we can write;
c + f = 13
The total amount of sodium is 4400 mg. Each can of soup has 200 mg, and each frozen dinner has 650 mg.
200c + 650f = 4400
We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;
A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;
c + f = 13
200c + 650f = 4400
Read more about System of Equations at; https://brainly.com/question/13729904
#SPJ1
Answer:
Step-by-step explanation:
11970658976
Ms. Wells has 16 Pokemon cards, she left 12 of her cards at home. What is the fraction of Pokemon cards she left at home? Answers should be in simplest form.
Group of answer choices
6/18
12/16
3/4
1/12
Answer: 3/4
Step-by-step explanation: because 12/16 simplified is 3/4
Sharon is twice as old as Brain. In 5 years, the sum of their ages will be 25 years. Find their present ages.
Please Mark as Brainliest
Answer:
Brian is 5, and Sharon is 10
Step-by-step explanation:
CURRENT AGES:
Let b = Brian's age
Let 2b = Sharon's age
5 YEARS FROM NOW:
b + 5 = Brian's age
2b + 5 = Sharon's age
The sum will be 25
b + 5 + 2b + 5 = 25
3b + 10 = 25
3b = 15
b = 5
So Brian is 5, and Sharon is 10
Without multiplying, tell whether the value of the expression is positive or negative.
4/7 • (-3 1/2)
Explain your reasoning.
Answer:
Negative
Step-by-step explanation:
Because knowing that a positive number times a negative number equals negative.
3y + 6 = 4 - 7y
solve for y and show steps!
Answer:
3y+7y=4-6
10y= -2
y= -2÷10
y =1/2
Ans
Please help!!!
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
[tex]\sqrt(3x-1)-2=0[/tex]
Step-by-step explanation:
[tex] \sqrt{3x - 1} - 2 = 0[/tex]
[tex] \sqrt{3x - 1} = 2[/tex]
[tex] \sqrt{3x - 1} = \sqrt{4} [/tex]
[tex]3x - 1 = 4[/tex]
[tex]3x = 4 + 1[/tex]
[tex]3x = 5[/tex]
[tex]x = \frac{5}{3} [/tex]
The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
It was previously calculated that the z-score for 3.22
inches is 1.44 and that the percentage of trees that have
a diameter less than 3.22 inches is 92.51%.
About what percent of trees have a diameter greater than
3.22 inches?
About
% of trees have a diameter greater
than 3.22 inches. Round the percent to 2 decimal
places, if necessary.
Answer: 7.49%
Step-by-step explanation: i got it right on edg
Answer:
7.49%
Step-by-step explanation:
(2x+5)*
5x Angle addition postulate
The value of x determined by Angle addition postulate is (x = 25).
What is defined as the Angle addition postulate?The angle addition postulate in geometrical states that if two or more angles are placed side by side with a common vertex as well as a common arm between every pair of angles, the sum of those angles equals the total sum of the resulting angle. For example, if ∠AOB and ∠BOC are adjacent angles on the a common vertex O with OB as the common arm, then we have ∠AOB + ∠BOC = ∠AOC based on the angle addition postulate.As per the given questions;
The two angles are given as;
∠ABD = 5x + 10
and ∠DBC = 2x - 5
By the angle addition postulate;
The sum of both the angles will be 180.
Put the values;
∠ABD + ∠DBC = 180
5x + 10 + 2x - 5 = 180
Simplifying;
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25.
Thus, the values of x is determined as the (x = 25).
To know more about the Angle addition postulate, here
https://brainly.com/question/4208193
#SPJ9
The correct question is-
Find the value of x Angle addition postulate, when the value of two angles are-
(5x + 10) and (2x - 5)
Simplify: A , B , C , D?
Answer:
7 5/6
Step-by-step explanation:
Reverse the operation
[tex]-2\frac{1}{3} - -10\frac{1}{6} = 2\frac{1}{3} + 10\frac{1}{6}\\= 2-\frac{1}{3} + 10+\frac{1}{6}\\-2 + 10 = 8(2 - 10)\\-\frac{1}{3} +\frac{1}{6}\\-\frac{2}{6}(x2) +\frac{1}{6}\\= -\frac{1}{6}\\8-\frac{1}{6}\\= 7\frac{5}{6}[/tex]
Equivalent expression to (3*6) to the 2nd power
The required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable.
We have been given that exponential function as
⇒ (3⁶/y⁻⁵)²
= (3⁶/1 / 1/y⁵)²
= (3⁶ × y⁵)²
= 3¹² y¹⁰
Therefore, the required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ1
The question seems to be incomplete the correct question would be
Select the equivalent expression to (3⁶/y⁻⁵)²
(A) 3¹⁰ y¹²
(B) 3⁶ /y¹⁰
(C) 3¹² y¹⁰
If the probability that it will rain tomorrow is 1/5, what Is the probability that it will not rain tomorrow ?
• 4/5
• 3/5
• 2/5
• 2/10
Answer:
4/5
Step-by-step explanation:
because 1/5 + 4/5 = 1