Answers
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
Related Questions
The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.
Answers
Answer:
[tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =3.25[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$ 1[/tex]
[tex]Additional = 25cents[/tex] of child's age
Solving (1):
Determine the cost function.
Represent the years as y.
So, we have:
[tex]Additional = 25cents[/tex] * y
Convert 25 cents to dollars.
[tex]25 cents = 25 * \$0.01[/tex]
[tex]25 cents = \$0.25[/tex]
So, we have:
[tex]Additional = \$0.25 * y[/tex]
The cost amount is then:
[tex]Cost = Base\ Amount + Additional[/tex]
[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function
Solving (b): Cost of 9 years old.
In this case;
[tex]y = 9[/tex]
Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =1 + 0.25 * 9[/tex]
[tex]Cost =1 + 2.25[/tex]
[tex]Cost =3.25[/tex] --- This is the cost for a child of 9
Answer:
1+0.25y, 2.25
Step-by-step explanation:
You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y
then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.
hope this helps someone, keera
only 1 question!
Please help I’ll mark brainliest!!!
Answers
Answer:
Wouldn’t y be 4 and x be 1?
Answer:
Y = -1X + 5
Step-by-step explanation:
I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.
Hope this helps! Let me know!
Help Me need help please it is due today please help ASAP
Answers
Answer:
87
Step-by-step explanation:
you subtract 3:32-2:45
Simplify 9 to the 2nd power/ 9 to the 7th power
Answers
Answer:
9^2=81, 9^7=478,296,9
1) what is the LCM of 3,5, and 10?
2)What are the numbers if the GCF of these numbers is 12?
Answers
Answer:
1)2⋅3⋅5=30 2 ⋅ 3 ⋅ 5 = 30 . 2)1, 2, 3, 4, 6, 12
Step-by-step explanation:
15+6x=45+8x
what does x equal
Answers
Answer:
X=-15
Step-by-step explanation:
Do simple math
Answer:
-15=x
Step-by-step explanation:
15 + 6x = 45 + 8x
-6x -6x
15 = 45 + 2x
-45 -45
-30 = 2x
/2 /2
-15 = x
Hope this helps!
Borrow $1,500 at an interest rate of 5% for one year for a total repayment of
Answers
Answer:
1680
Step-by-step explanation:
1500÷100=15
15x12 months =180
1500+180=1680
Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.
Answers
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
2c - 12 = 9C + 2
How do i solve this
Answers
Subtract 9c from both sides:
2c-12-9c=9c+2-9c
Add 12 to both sides:
-7c-12+12=2+12
-7c=14
Divide both sides by -7:
-7c/-7=14/-7
c=-2
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
Answers
The area of rectangle ABCD with the given vertices is: 8 units².
What is the Area of a Rectangle?Area of rectangle = (length)(width).
Given the following vertices:
A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)Area = (length)(width) = (AB)(BC)
AB = |-2 - 6| = 8 units
BC = |2 - 3} = 1 unit
Area of rectangle = (8)(1) = 8 units².
Learn more about area of rectangle on:
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Answer: 8
Step-by-step explanation:
C. Assume you are putting 10 gallons of gas a week in your car for 4 weeks at $2.25 a
gallon. How much are you spending on gas every month? |I
Answers
Answer:
22.50
Step-by-step explanation:
What is the missing exponent
Answers
Answer:
x^5 is the missing
Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.
The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:
= 120/8
= 15 credit hours
(8) Simplify this expression: -4^2. This will be:
= -4 × -4
= 16
At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?
$94.25
$118.75
$107.75
$332.50
Answers
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
STEP 1: So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
(47.50 x 2 = 95)
STEP 2: So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
(47.50 ÷ 2 = 23.75)
STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
(95 + 23.75 = $118.75)
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
I HOPE THIS HELPED YOU!
Answer:
$118.75
Step-by-step explanation:
Okay, we know a rock per ton is $47.50.
What we need to know is how much 2.5 tons cost.
So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:
($47.50 * 2.5) = $118.75
So 2.5 tons of rock costs $118.75
Have a great day! :)
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answers
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
Answers
Answer:
Step-by-step explanation:
If she has 84 candles and 48 holders, we can write out the factors of both values as shown
For candles
84 = 2×2×3×7
84 = 12×7
For 48
48 = 2×2×2×2×3
48 = (2×2)×(2×2×3)
48 = 4×12
48 = 12×4
From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12
The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.
Ashley has 6,452 buttons that need to be sorted equally into 25 jars. How many buttons will be in each jar? How many buttons will be leftover??? Pls answer.
Answers
1. Which of the following is a pair of parallel lines? W = 1/4x - 7 V=1/44+2 W = 4x - 7 V = 1/4x + 2 W = 1/4x - 7 V= 1/4x + 2 W = 4x - 7 V = -4x + 2 C
Answers
Which term is coefficient of 1?
Answers
Answer:
the first one.
Answer:
k^7
Step-by-step explanation:
As there is nothing in front of it that means the coefficient is 1
:)
easy?
-16 > -f, if f = 15
True or falsehood
Answers
Answer:
false
Step-by-step explanation:
15 is a larger number than -16
What is the measure of
Answers
Answer:
measure of whaaaaaaaaaaaaaaaaaaaa tttttt?
2) Which car will travel the most distance (in miles) per gallon? A. The total distance that a Toyota Prius can travel in miles (M) given any gallons of gas (g) is given by M = 35g. B. A Toyota Sienna used 2.5 gallons to travel 55 miles. C. Toyota Rav4 D. Toyota Camry Gallons of Gas Total Distance 2 50 miles 3 75 miles 5 125 miles
Answers
Answer:55
Step-by-step explanation:
(1). Toyota Prius: The total distance the car can travel in miles (M) given any gallons of gas (g) is M = 35g *How much gas is used per mile?
(2)Toyota Sienna: Used 2.5 gallons to travel 55 miles *How much gas is used per mile?
If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.
Answers
Answer:
2x⁴ + x³ - 3x² - 4x + 2
4
Step-by-step explanation:
Given functions:
f(x) = 2x⁴ - 3x² - 2x + 5
g(x) = x³ - 2x - 3
Unknown:
Sum of the polynomials = ?
Order of the sum = ?
Solution:
The sum of the polynomial is expressed as;
f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 + x³ - 2x - 3
= 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3
= 2x⁴ + x³ - 3x² - 4x + 2
The order of the sum is the highest power which 4.
This polynomial is of the 4th order.
y−1=−2(x−2) in slope intercept form
Answers
Answer:
[tex]y = - 2x + 5[/tex]
Step-by-step explanation:
Simply simplify the equation from what it is to the slope intercept format:
[tex]y = mx + b[/tex]
Step-by-step explanation:
Hey there!
We know;
The slope intercept form of equation is;
y = mx+c
So, let's try to take it in this form.
(y-1) = -2(x-2)
Multiply -2 and (x-2)
(y-1) = -2x + 4
Take '-1' to right side.
y = -2x+4+1
y = -2x+5
Therefore, the equation is y = -2x+5.
Hope it helps...
PLEASE HELP QUESTIONS ARE BELOW FIRST TO ANSWER WILL BE VOTED BRAINLIEST
Answers
Answer:
1. 7.5
2. 7
3. 8
4. 1.44
5. 2
6. 4
Step-by-step explanation:
Use cross multiplication and then divide by the coefficient of x.
Here is how to solve number 1. Solve the rest of them like this.
2.5(15) = 5x
37.5 =5x
5 5
x=7.5
Please mark me brainliest and I hope this helps.
Answer:
1. x = 7.5
2. x = 7
3. x = 8
4. x = 1.44
5. x = 2
6. x = 4
Step-by-step explanation:
All you have to do is cross multipy and then solve.
3x−8≤23 AND −4x+26≥63,
Answers
The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?
A. the input when the output is zero
B. the output when the input is zero
C. the input when the output is 1
D. the output when the input is 1
Answers
Answer:
B
Step-by-step explanation:
got stuck on it too lol
The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.
What is perimeter?Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).
Since sum of side lengths of the triangle of vertices: 3
Area: ½ × base × height
Number of edges: 3
Internal angle: 60° (for equilateral)
The Sum of interior angles is 180°
Therefore, the coordinates of the intersection indicate will be;
B. the output when the input is zero.
Learn more about perimeter here:
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what is an equation of the line that passes through the points (0,-8) and (5,-7)? put your answer in fully reduced form.
Answers
Answer: y=1/5x -8
Step-by-step explanation:
Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has
$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for
writing the check?
Answers
Answer:
she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store
Step-by-step explanation:
We are told she wrote a check to the grocery store for $156.00.
And that when she looked at her check register later that day, she had only $122.66.
This means she doesn't have sufficient balance for the grocery.
It means the bank will pay the overdraft and it attracts charges which may vary for different banks.
Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store
i’ll mark BRAINLEST IF U HELP (if u don’t know pls don’t try)
Which set of ordered pairs does not represent a function?
A. {(-2,4),(-1,1),(0,0),(1,1),(2,4)}
B. {(4, -2),(1, -1),(0,0),(1,1),(4,2)}
C. {(-4,2), (2, -4), (0,0),(4,-2), (-2,4)}
D. {(-4,-4),(-2,-2),(0,0), (2, 2), (4,4)}
Answers
Answer:
It is A
Step-by-step explanation: