Look at the diagram. Which of the following is another name for < 1
A. < CBA
B. < ACB
C. < CAB
D. < BAC
Answers
A. ∠CBA
Answer: A. ∠CBA
Step-by-step explanation:
We need three points to write a name of an angle. One point on each ray with the vertex lies in the middle.
There are total three ways to write a name of an angle.
For example :- M and N are points on each ray of an angle with vertex O.
Then, the name of angle can be ∠O, ∠MON or ∠NOM.
From the given picture , it can be observe that A and C are points on each ray of ∠1 with vertex B.
Then, the possible name of ∠1 will be ∠B , ∠ABC or ∠CBA.
Since, ∠CBA in given in option A.
Thus OPTION A is the correct option.
Related Questions
Does prime factorization rename a composite number as the product of prime factors
Answers
Answer:
Yes
Step-by-step explanation:
Prime factorization does rename a composite number as the product of prime factors.
Solve for B.
R = x(A+B)
Answers
Solve for B
R=x (A+B)
distribute
R=Ax+Bx
-Ax both sides
R-Ax=Bx
÷x both sides
(R-Ax)/x=B
Answer: B=(R-Ax)x or B= (R/x)-A
Check your work:
Plug in B
R=x (A+(R-Ax)/x)
R=x (A+R/x-A)
R=x (R/x)
R=R
Answer is correct
solve the equation x-4-3x=-2x-3-1
Answers
Answer:
the equation is true for any value of x
Step-by-step explanation:
The equation simplifies to ...
-2x -4 = -2x -4
This is true for any value of x. There are an infinite number of solutions.
15+r in verbal expression
Answers
Luis needs to run no less than 120 miles in order to go with the cross country team to a summer training camp. He has thirty days to pre-train for the camp. Which inequality can be used to find how many miles Luis must run each day to meet this goal?
Answers
30 days to run at least 120 miles
120/30 = 4
let x = number of days
he needs to run at least 4 miles per day
so x≥4 ( do any of your choices look like this?)
X and Y are two mutually exclusive events. P(X)= 0.55 and P(X or Y)=0.7. Work out P(not Y) (2 marks)
Answers
P(x) = 0.55
P(x ∪ y) = 0.70 →→ P(x) +P(y) = 0.70 →→ 0.55 + P(y) =0.70→→P(y) = 0.15
If P(NOT y) = 1- 0.15 = 0.85
To find the probability of not Y occurring when events X and Y are mutually exclusive, we subtract P(X) from P(X or Y) to get P(Y) and then subtract P(Y) from 1 to get P(not Y), resulting in a probability of 0.85.
The question asks us to find the probability of not event Y occurring, given that X and Y are mutually exclusive events, and we're provided with P(X) and P(X or Y). Since X and Y are mutually exclusive, the sum rule of probability states that P(X or Y) = P(X) + P(Y). Using the given values, we can express P(Y) as P(X or Y) - P(X), which is 0.7 - 0.55 = 0.15. Since the probability of an event and its complement sum to 1, P(not Y) is 1 - P(Y), which gives us 1 - 0.15 = 0.85.
Therefore, the probability of not Y is 0.85.
In a work-out facility, there are two racks with 40 towels per rack. on tuesday, there were 30 towels in use, on wednesday 50, and on thursday 25. what fraction, on average, is in use for the 3 days?
Answers
Tuesday: 30 towels
Wednesday: 50 towels
Thursday: 25 towels
Total towel usage for the 3 days is 30 + 50 + 25 = 105
Average usage per day is
105/3 = 35 towels per day.
Because the capacity is 80 towels, the fractional usage per day is
35/80 = 7/16
Answer: 7/16
Do you know the answer to this question
Answers
_______________________________________________________
Janelle is five years younger than Louisa. In three years, Janelle will be half Louisa’s age. If j represents Janelle’s age now and l represents Louisa’s age now, which matrices represent the situation?
Answers
Answer: C
Step-by-step explanation: Got it right
Final answer:
The matrix form representing the given situation with Janelle and Louisa's ages is a system of linear equations derived from the word problem, and can be represented as: [1 -1 | -5] and [0.5 -0.5 | -1.5].
Explanation:
The question involves setting up equations based on the given word problem and representing them in matrix form. The situation describes a relationship between the ages of Janelle and Louisa, with Janelle being five years younger than Louisa. In three years, Janelle will be half of Louisa's age. This can be represented with two equations:
j = l - 5
j + 3 = 0.5 * (l + 3)
These equations can then be represented in matrix form. Matrices are used in mathematics to represent systems of linear equations, and the equations stages can be translated into a matrix where each row represents an equation:
Matrix for the system of equations:
[1 -1 | -5]
[0.5 -0.5 | -1.5]
The first row of the matrix represents the first equation, showing the coefficients of j and l, and the constant term on the right side of the equation. The second row represents the second equation with the respective coefficients and constant term.
The rest of the numbers are cut offf
225
250
270
Answers
there are 8 sides so the angles are 360/8 = 45
the answer is 45 degrees
A coupon subtracts $17.95 from the price P of a pair of headphones you pay $71.80 for the headphones after using the coupon write and solve an equation to find the original price of the headphones
Answers
So the coupon subtracts 17.95 from X price and you pay $71.80 for the headphones
17.95 + 71.80 = $89.75 (Original Price)
Answer:
[tex]P-17.95=71.80[/tex]
Original cost: $89.75.
Step-by-step explanation:
Let P represent the original price of the headphones.
We have been given that a coupon subtracts $17.95 from the price P of a pair of headphones.
The cost of headphones after using the coupon would be [tex]P-17.95[/tex].
We are also told that you pay $71.80 for the headphones after using the coupon. We can represent this information in an equation as:
[tex]P-17.95=71.80[/tex]
Let us solve for P.
[tex]P-17.95+17.95=71.80+17.95[/tex]
[tex]P=89.75[/tex]
Therefore, the original cost of headphones is $89.75.
If a person lives to be exactly 100 years old, how many leap years will that person see
Answers
What is n. S=180n-360
Answers
One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?
Answers
hope it helps
-4(5a - 6b + 10c - 3)
Answers
-20a+24b-40c+12
Kim drives 156 miles from Rotherham to London.
She drives at an average speed of 60 miles per hour.
She leaves Rotherham at 7:30 am.
Does she arrive in London before 10:00 am?
Please show all of your working out.
Answers
Answer:
No, she will not arrive London before 10:00 am.
Step-by-step explanation:
It is given that:
Kim drives 156 miles from Rotherham to London.
She drives at an average speed of 60 miles per hour.
i.e. in one hour she drives 60 miles.
Hence she covers 1 mile in 1/60 hours.
Now she has to travel 156 miles.
i.e. it takes her:
156/60 hours=2.6 hours.
i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London.
(
since 0.6 hours=36 minutes.
As 1 hour= 60 minutes.
so, 0.6 hours=0.6×60=36 minutes ).
Hence, if she start from Rotherham at 7:30 am.
Then she will reach London at:
7:30+2.6=10:06 am.
Hence, she will reach London after 10 am.
find the inverse of f(x)=-3x+3
Answers
[tex]\bf f(x)=y=-3x+3\qquad \qquad inverse\implies \boxed{x}=-3\boxed{y}+3 \\\\\\ x-3=-3y\implies \cfrac{x-3}{-3}=y\implies \cfrac{3-x}{3}=y\impliedby f^{-1}(x)[/tex]
Given that the legs of a right triangle measure a and b and the hypotenuse of the triangle measures c, what does the Pythagorean Theorem state about the sides of this triangle? a2 + c2 = b2 a2 − b2 = c2 2a + 2b = 2c a2 + b2 = c2
Answers
The longest side (c) is always on its own side. This says "the squares of 'a' and 'b' add up to the square of 'c' "
The Pythagorean Theorem establishes the relationship between the sides of a right triangle, highlighting that the sum of the squares of the two shorter sides equals the square of the hypotenuse.
The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In mathematical terms, it is represented as a² + b² = c². This relationship applies to all right triangles and is fundamental in geometry.
There are students in three rows taking a test. there are 22 students in the first row, 19 students in the second row, and a certain number of students in the third row. if there are a total of 62 students, how many students are in the third row?
Answers
combine like terms
41+x = 62
subtract 41 from both sides
x= 21
there are 21 students in the third row
To determine how many students are in the third row, subtract the sum of the students in the first two rows (22 + 19 = 41) from the total number of students (62). The result is that there are 21 students in the third row.
The student is asking a question related to basic arithmetic, specifically subtraction and problem-solving skills. To find out how many students are in the third row, we subtract the number of students in the first two rows from the total number of students. There are 22 students in the first row and 19 in the second row. The total number of students is 62.
So, we calculate the number in the third row as follows:
Calculate the combined number of students in the first two rows: 22 (first row) + 19 (second row) = 41 students.Subtract the number of students in the first two rows from the total number of students: 62 (total) - 41 (combined first and second rows) = 21 students.Therefore, there are 21 students in the third row.
PLEASE HELP! GEOMETRY
Answers
From the prove above, it was given that line KL is parallel to line MN.
Also, angles KRQ and MSQ occupy the same relative position at the intersections R and S.
Therefore, the missing justification for the second line of the proof is "corresponding angles theorem".
How do you write -6.16666666... as a fraction?
Answers
-6 4/9 which means it would be a repeating decimal
Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?
Answers
he uses the dress pants coupon....which is the second coupon which gives him y percent off the dress pants
so ur answer is : (1 - y) * 40
Answer:
the answer is (1-y)
Step-by-step explanation:
i took the calculator and did the math and got that
A psychology class consists of 14 males and 36 females. if the professor selects names from the class list using random sampling, what is the probability that the first student selected will be a female? if a random sample of n = 3 students is selected and the first two are both females, what is the probability that the third student selected will be a male?
Answers
The number of students left to select from after the first two students selected is 50 - 2 = 48 students, which consist of 34 females (two have been selected) and 14 males (none has been selected so far)
The probability that the third pick is a male is [tex] \frac{14}{48}= \frac{7}{24} [/tex]
Final answer:
The probability of selecting a female first from a class with 14 males and 36 females is 0.72. If the first two students selected are females, the probability that the third student will be a male is approximately 0.292.
Explanation:
The subject of this question is Mathematics, specifically dealing with the concept of probability in a high school level. We are to determine two probabilities: the chance of selecting a female student first from a class, and the likelihood of selecting a male student third given that the first two selected were females.
To find the probability of selecting a female first, we need to consider the total number of students and the number of females. The class has 14 males and 36 females, so the total number of students is-
14 + 36 = 50
The probability of selecting a female first is therefore the number of females divided by the total number of students, which is-
36/50 or 0.72
For the second probability, since the first two students selected are females, we now have a reduced pool of 34 females and 14 males, with a new total of 48. The probability of the third student being a male is then 14/48, which simplifies to 0.292 approximately.
How many pounds are 40kg
Answers
Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).
Answers
Plug the two terms into the equation by finding the root of both.
√y^4= y^2
√81= 9
From here, you plug the terms into the form (x+y)(x-y)
(y^2+9)(y^2-9)
Hope this helps!
What algebraic expression models the word phrase three fewer than the sum of c and d?
Answers
(c + d) - 3 <== ur expression
(c + d) - 3
The parenthesis are just there to keep c and d together.
1) what is the answer to 5(3x-2y)+2(x+2y)-3(3x-2y)?
a= 8x-12y
b= 8x
c= 8x-8y
d= 8xy
2) what is the answer to 2x-3+3x-5?
a= -x-8
b= 5x-8
c=-x+2
d= 5x+2
Answers
So, using the distributive property, we can:
5 * 3x - 2y * 5 + 2x + 2 * 2y - 3 * 3x - 3 * 2y
or
15x - 10y + 2x + 4y - 9x - 6y
Now just combine like terms
8x -12y
So for #1 it should be a.
#2: 2x - 3 + 3x - 5
Combine Like Terms:
2x + 3x - 3 - 5
5x - 8
So it should be b.
What is the measure of ∠F?
What is the measure of ∠R?
What is the measure of ∠C?
Answers
I'm not sure what the measure of R is, but I think the measure of F is 55°. I'm not 100% sure, which I feel terrible about, but I am positive that C= 43
:)
Answer: The measure of ∠F=55°
The measure of ∠R=36°
The measure of ∠C=43°
Step-by-step explanation:
The angle sum property of triangle say that the sum of all the interior angles of a triangle is 180 degrees.Therefore By using angle sum property in Δ RST
∠R+∠S+∠T=180°
⇒∠R+76°+68°=180°
⇒∠R=180°-144°
⇒∠R=36°
In Δ CDE, where ∠C is a right angle.
∠C+∠D+∠E=180°
⇒∠C+90°+47°=180°
⇒∠C=180°-137°
⇒∠C=43°
In ΔDEF
∠D+∠E+∠F=180°
⇒104°+21°+∠F=180°
⇒∠F=180°-125°
⇒∠F=55°
At $1.25 per square foot, what is the cost of cleaning a rug with dimensions 9 feet 3 inches by 6 feet 9 inches?
Answers
or
12 X 12= 144 square inches = Cost $ 1.25
1 square inch cost = 1.25/144 = $ 0.00868
Rug 9 feet 3 inches X 6 feet 9 inches= (9X12+3) (6X12+9)
111 inches X 81 inches = 8991 square inches
Total cost of cleaning the rug = 8991 X 0.00868
= $ 78.04
It'll cost you $ 78.04 to clean the rug
given an exponential function for compounding interest, A(x)=P(1.02)^x, what is the rate of change?
Answers
Answer:Its 2% guys
Step-by-step explanation: