The expression in the figure below represent the measures of two angle.Find the value of x . f || g . The diagram is not to scale.
Answers
2x and 8x+40 complementary angles
their sum is 180
2x+8x+40=180
10x=140
x=14
Related Questions
A carpenter makes chairs with slats that run across the chair as shown. each chair uses 7 slats. he needs to make 24 chairs.how many slats must he make?
Answers
he needs 168 slats
the carpenter needs to make 168 slats
hope this helps you
a shopper purchased 8 t-shirts and 5 pair of pants for $220. the next day, he purchased 5 t-shirts and a pair of pants for $112. how much does each t shirt and pair of pants cost
Answers
On average 113,204 aluminum cans are recycled in a minute. Approximately how many cans will be recycled in 16 days? (Express your answer in scientific notation.)
a.
2.61x10^9 cans
b.
4.35x10^7 aluminum cans
c.
1.09x10^8 aluminum cans
d.
1.63x10^8 aluminum can
Answers
Answer:
the answer is A
Step-by-step explanation:
Final answer:
The answer is approximately 2.61x10⁹ cans recycled in 16 days, which is option (a).
Explanation:
The student is asking about a mathematical estimation of how many aluminum cans are recycled over a 16-day period, given an average rate of recycling per minute.
To find the answer, we'll first calculate the number of minutes in 16 days:
16 days × 24 hours/day × 60 minutes/hour = 23,040 minutes.
Now, we multiply this by the average number of cans recycled per minute:
23,040 minutes × 113,204 cans/minute = 2.61x10⁹ cans.
Expressing this value in scientific notation gives us:
About 2.61x10⁹ aluminum cans recycled in 16 days, which corresponds to option (a) in the multiple-choice provided by the student.
Which input value produces the same output value for the two functions on the graph?
x = -3
x = -2
x = -1
x = 3
Answers
The input value produces the same output value for the two functions on the graph is [tex]\boxed{x = - 2}[/tex]. Option (b) is correct.
Further explanation:
Given:
The options are as follows,
(a). [tex]x = - 3[/tex]
(b). [tex]x = - 2[/tex]
(c). [tex]x = - 1[/tex]
(d). [tex]x = 3[/tex]
Explanation:
The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.
The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.
The functions are [tex]f\left( x \right){\text{ and }}g\left( x \right).[/tex]
From the graph it has been observed that the line of the function intersects each other at [tex]x=- 2.[/tex]
The input value produces the same output value for the two functions on the graph is [tex]\boxed{x = - 2}[/tex]. Option (b) is correct.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Relation and Function
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.
Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54.
How many of each type of coin does Ari have?
Answers
Let p = the number of pennies that Ari has.
The total number of coins she has is 22.
n + p = 22
We have our first equation... But we another one to solve this.
Each penny is going to be $0.01 and a nickel is work $0.05.
And the total is $0.54
Our second equation. 0.05n + 0.01p = 0.54
n + p = 22
0.05n + 0.01p = 0.54
Multiply the top by -0.05
-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54
The n terms cancel out.
-0.04p = -0.56
p = 14
Substitute p back into the top equation.
n + 14 = 22
n = 8
So, Ari has 8 nickels and 14 pennies.
Answer:
Let n = the number of nickels that Ari has.
Let p = the number of pennies that Ari has.
The total number of coins she has is 22.
n + p = 22
We have our first equation... But we another one to solve this.
Each penny is going to be $0.01 and a nickel is work $0.05.
And the total is $0.54
Our second equation. 0.05n + 0.01p = 0.54
n + p = 22
0.05n + 0.01p = 0.54
Multiply the top by -0.05
-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54
The n terms cancel out.
-0.04p = -0.56
p = 14
Step-by-step explanation:
In an isometric transformation, the preimage and image must not __________.
A.
change size
B.
rotate
C.
preserve angle measures
D.
reflect across the -axis
Answers
defenity i have a strong feeling
In an isometric transformation, the pre-image and image must not change size.
express in simplest form with a prime number base
2^t*8
Answers
(2^t)⁸
write an expression that represents the area of a square with side length 6xy^2 (for any square with side length s, A=s^2=s.s.)
Answers
For any square with side length s:
A=s²
s = 6xy²
A = (6xy²)²
Since (ab)² = a²b², then:
A = 6²x²(y²)²
A = 36x²(y²)²
Since (aⁿ)ˣ = aⁿ*ˣ, then:
A = 36x²y²*²
A = 36x²y⁴
information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f
Degree 4; zeros: i, 14+i
what are the remaining zeros of f
Answers
Now, use the complex conjugate root theorem.
It states that if a polynomial with real coefficients has complex root a + bi then its complex conjugate a − bi is also a root of the polynomial.
The conjugate of i is - i and the conjugate of 14 + 1 is 14 - i, then it follows that those are the remaining zeros.
Answer: - i and 14 - i
The remaining zeros of the given degree 4 polynomial f(x) with known zeros i and 14+i are -i and 14-i.
In Mathematics, particularly in studying polynomials, if a polynomial has real coefficients, then complex zeros always occur in conjugate pairs.
That is, if a+bi is a zero, then its conjugate, a-bi is also a zero.
Given that f(x) is a polynomial of degree 4 with zeros i and 14+i, then its conjugate zeros are -i and 14-i. Therefore, the four zeros of the polynomial f(x) are i, -i, 14+i and 14-i.
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What isthe answer to 3/5 ❌ 20
Answers
The amount of milk sold each day by a grocery store varies according to the Normal distribution with mean 130 gallons and standard deviation 12 gallons. On a randomly selected day, the probability that the store sells at least 154 gallons is
A. .0228.
B. .1587.
C. .8413.
D. .9772.
Answers
To find the probability that the store sells at least 154 gallons of milk on a randomly selected day, we need to standardize the value and use a standard normal distribution table or calculator.
Explanation:To find the probability that the store sells at least 154 gallons of milk on a randomly selected day, we need to find the area under the Normal distribution curve to the right of 154.
First, we need to standardize the value of 154 using the formula Z = (X - mean) / standard deviation, where X is the value we want to standardize, mean is the mean of the distribution, and standard deviation is the standard deviation of the distribution. Using the given values, we have Z = (154 - 130) / 12 = 2.
Next, we can use a standard normal distribution table or a calculator to find the cumulative probability associated with a z-score of 2. The probability that a standard normal random variable is greater than 2 is approximately 0.0228.
Therefore, the probability that the store sells at least 154 gallons of milk on a randomly selected day is approximately 0.0228, or option A.
Which conditional and its converse form a true biconditional?
A) If x>0, then lxl >0
B) If x=3, then x2^2=9
C) If x^2 =4, Then x=2
D) If x=19, then 2x-3=35
Answers
D) If x=19, then 2x-3=35
proof
If x=19, 2(19)-3=38-3=35 so If x=19, then 2x-3=35 is verified
if 2x-3=35, so 2x=35 + 3, 2x=38 implies x = 19, so x =19 is verified
If x=19 if and only if 2x-3=35
Answer: D) If x=19, then 2x-3=35
Step-by-step explanation:
A) If x > 0, then lxl >0,
L.H.S. x > 0,
R.H.S. lxl >0 ⇒ ± x > 0
⇒ L.H.S. ≠ R.H.S.
B) If x = 3 then [tex]x^2 = 9[/tex]
L.H.S. x = 3,
R.H.S. [tex]x^2 = 9[/tex] ⇒ x = ± 3
⇒ L.H.S. ≠ R.H.S.
C) If [tex]x^2 =4[/tex], Then x=2
L.H.S. [tex]x^2 =4[/tex] ⇒ x = ± 2,
R.H.S. x = 2,
L.H.S. ≠ R.H.S.
D) If x=19, then 2x-3=35
L.H.S. x = 19,
R.H.S. 2x-3=35 ⇒ 2x = 38 ⇒ x = 19
⇒ L.H.S. = R.H.S.
⇒ Option D is correct.
how do you write 19/15 as a mixed number
Answers
Because 19 can fit into 15 only one time and the remainder is 4/15 so 1 would be your whole number and 4/15 would be your little other fraction
:)
By definition of fraction of the numbers, The mixed form of the fraction 19/15 is,
⇒ 19/15 = 1 4/15
What is mean by Division method?Division method is used to distributing a group of things or numbers into equal parts. And, Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The fraction of the number in fraction form is,
⇒ 19/15
Now,
We can simplify the fraction to change into mixed number as;
⇒ 19/15
⇒ 15 ) 19 ( 1
- 15
-----
04
---------
Thus, We get;
The fraction is written as;
⇒ 19 / 15
⇒ 1 4/15
Therefore, We get;
By definition of fraction of the numbers, The mixed form of the fraction 19/15 is,
⇒ 19/15 = 1 4/15
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Which figure shows a reflection of pre-image QRS over the line t?
A.
90° clockwise rotation around point B
B.
180° clockwise rotation around point B
C.
reflection over line a
D.
translation 4 units up
Answers
A hemispherical dome with radius=20 feet needs 11 coats of paint, which are 1/100 inch thick...need to use linear approximation to get the volume of paint needed for the job.
Answers
V = (2/3) x pi x r^3
40 ft .11 inches = 480.11 inches
Putting in the formula we getV = (2/3) x pi x (480.11^3 - 480^3)
V = (2/3) x pi x 76049.4 inches V = 159277.54 inches
There are 1728 cubic inches in 1 cubic foot
V = 92.17 cubic feet
A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value inequality to determine the range of medication costs at this pharmacy.
|x − 32| ≥ 8; The medication costs range from $24 to $40
|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
|x − 32| ≤ 8; The medication costs range from $24 to $40
|x − 32| ≤8; The medications cost less than $24 or greater than $40.
Answers
an absolute-value inequality, and
a sentence describing the meaning of that inequality.
We've got two choices for each, and therefore four possible combinations of choices.
First, let's tackle the sentence description. We're told that
"it [the cost] could differ [from the average of $32] as much as $8."
That sets a maximum value for the difference; it's UP TO $8.
If the cost is less than average, it could be as little as
$32 - $8 = $24
and if the cost is more than average, it could be as much as
$32 + $8 = $40.
So the medication costs range from $24 to $40, and we want an answer that states that.
Now for the inequalities:
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between
x - 32
and
32 - x
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference.
But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality
|x - 32| ≥ 8
says the difference is 8 or MORE, so we don't want that. Instead, we want
|x - 32| ≤ 8
which says the difference is anywhere from 0 to 8.
Combining these conclusions, we see we're looking for this answer:
|x - 32| ≤ 8; The medication costs range from $24 to $40
which is the third one listed.
the answer is C the third one
A geneticist is studying a population of fruit flies. Of the 1278 flies, 467 are wingless and 446 have red eyes. There are 210 flies that are wingless whose eyes are not red. What is the approximate probability that a fly is wingless or has red eyes?
0.49
0.51
0.71
0.88
Answers
The approximate probability that a fly is wingless or has red eyes is 0.49.
A geneticist is studying a population of fruit flies. Of the 1278 flies, 467 are wingless and 446 have red eyes.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
There are 210 flies that are wingless and whose eyes are not red.
We have determined the approximate probability that a fly is wingless or has red eyes.
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the graph of a line goes up and to the right when:
a) the coefficent of x is 0
b) the coffecient of x is negative
c) the coffecient of x is positive
d) there is no coffecient of x
Answers
Option: C is the correct answer.
c) the coefficient of x is positive
Step-by-step explanation:We know that graph of a line goes up and to the right when the coefficient of x is positive.
Since we know that when a line goes up and to the right this means that the line is increasing and hence we will get a positive slope of the line and we know that the slope intercept of a line is given as:
[tex]y=mx+c[/tex]
as m is positive this means that:
the coefficient of x is positive.
Hence, the correct answer is:
c) the coefficient of x is positive
The graph of a line goes up and to the right when the coefficient of x is positive, indicating it has an upward slope. This occurs when 'b' in the equation 'y = a + bx' is greater than zero.
The graph of a line wil go up and to the right when the coefficient of x is positive. In other words, when we have an equation like y = a + bx and b is greater than zero, the line has an upward slope. This means that for each step we move to the right on the x-axis, the value of y increases. Therefore, the correct answer to the question is (c) the coefficient of x is positive.
As a reference:
When the slope coefficient b is zero (b = 0), the line is horizontal.If b is negative (b < 0), the line slopes downward to the right.An increase in the slope will cause the line to rotate counter-clockwise around the y-intercept, indicating an increase in its steepness if the slope was positive or a decrease in its negativity if the slope was negative.Remember, the term positive slope indicates the line rises as it moves from left to right, while a negative slope indicates a line that falls as it moves from left to right.
which is bigger, half of 30 or one third of 75
please explain for brainlist
Answers
Third = 1/3
To find 1/2 of 30 we need to multiply them.
1/2 x 30 = 30/2 = 15
To find 1/3 of 75 we need to multiply them.
1/3 x 75 = 75/3 = 25
25 is bigger than 15
Answer:
1/3 of 75 is bigger
Alex buys 24 apples and when he opens it 6 apples are bad whats the perecentage of the bad apples
Answers
answer is 25% are bad
A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee selling for $8.85 a pound is blended with Brazilian coffee selling for $3.85 a pound to make a product that sells for $6.55 a pound. How much of each type of coffee should be used to make the blend that will fill the orders?
Answers
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
what is the inverse of the following statement: if he speaks arabic, he can act as the interpreter.
...?
Answers
He can act as the interpreter if he speaks Arabic. In this case, the independent clause is positioned in the first part of the sentence then the dependent clause followed. Hope this answer helps.
Answer:
If he can not speak Arabic, he can not act as the interpreter.
Step-by-step explanation:
Negating both the hypothesis and conclusion of a conditional statement. For example, the inverse of "If it is raining then the grass is wet" is "If it is not raining then the grass is not wet".
Find the values of x and y that satisfy the equation. 3x+6i=27+yi
Answers
The values that satisfy the equation 3x + 6i = 27 + yi are x = 9 and y = 6, which are found by equating real and imaginary parts separately.
To find the values of x and y that satisfy the equation 3x + 6i = 27 + yi, we must equate the real parts and the imaginary parts separately. The real part of the equation gives us x, and the imaginary part gives us y.
From the real part, we have:
3x = 27
x = 27 / 3
x = 9
From the imaginary part, we have:
6i = yi
y = 6
Therefore, the values x = 9 and y = 6 satisfy the given equation.
y =5.5x represents a proportional relationship. What is the constant proportionality?
Answers
Answer: 5.5 is the constant proportionality.
Step-by-step explanation:
Since we have given that
y = 5.5x
As we can see that
y is directly proportional to x.
So, mathematically written as
[tex]y\ \alpha\ x\\\\y=kx[/tex]
If we comparing both the expression, we get that
k = 5.5.
Hence, 5.5 is the constant proportionality.
The constant of proportionality of y = 5.5x is 5.5.
A directly proportional relational relationship can be represented below
y ∝ xwhere
∝ = symbol for proportionality
y and x are the variable that are related. Therefore,
y = kx
where
k = constant of proportionality.
The equations y = 5.5x can be modelled as directly proportional relationship using y = kx.
Therefore, k = 5.5 is the constant of proportionality.
The constant of proportionality of y = 5.5x is 5.5.
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Write 98 as the product of prime factors in ascending order
Answers
First you need your prime numbers: 2, 3, 5, 7, 11, 13, 17 (and so on)
Begin by dividing the smallest prime into the number 98. The smallest prime is '2', so 98 / 2 is 49. 2 will not divide into 49 so find the next highest prime that will divide into 49 evenly. It is '7' so 98 as a product of primes is:
2 x 7 x 7, or 2 x 72
2 x 7 x 7
how do you evaluate log2 1/64
Answers
then you rewrite to exponential form so you would write it as 2^? = 1/64
and 1-64 is the same as 2^-6, so negative 6 is your answer
What is 70℅ written as decimal
Answers
Then convert to a decimal by dividing the numerator by the denominator.
After doing so we get 0.7
Answer: .70 or .7
Step-by-step explanation: To write a percent as a decimal, we simply move the decimal point 2 places to the left so 70% can be written as the decimal .70 or just .7. Both of these answers would work just fine.
How many pints is 4 liters?
a. 0.21
b. 8.4
c. 0.84
d. 4
Answers
the answer is b.8.4
In the table, the relation (x, y) is not a function if the missing value of x is
Answers
Answer:
In the table, the relation (x, y) is not a function if the missing value of x is
Step-by-step explanation:
In the tab
le, the relation (x, y) is not a function if the missing value of x is
The area of the square is 144 square cm length of each side of the square is