The angle is 14 times its complement, resulting in one angle being 84 degrees and its complement being 6 degrees, following the principle that complementary angles sum up to 90 degrees.
Explanation:The question mentions that the measure of an angle is 1414 times the measure of its complement. However, this seems to be a typo, and the correct interpretation might be that the angle is 14 times the measure of its complement. First, let's clarify that complementary angles sum up to 90 degrees. If we call the angle A and its complement C, then A = 14C. Knowing that A + C = 90, we can substitute the first equation into this to find C.
To find the measure of the angles, let's denote the measure of one angle as x and the measure of its complement as 90 - x (complementary angles add up to 90 degrees).
Given that x = 14 times the measure of its complement, we can set up the equation x = 14(90 - x) to solve for x. By solving this equation, we find that x = 70 degrees and 90 - x = 20 degrees. Therefore, the measure of the angle is 70 degrees and the measure of its complement is 20 degrees.
Therefore, A + C = 90 becomes 14C + C = 90, simplifying to 15C = 90. Solving for C gives C = 90 / 15, which equals 6 degrees. Subsequently, A, being 14 times C, is 14 * 6 = 84 degrees. Thus, the two angles are 84 degrees and 6 degrees.
PLEASE HELP! GEOMETRY
If a person lives to be exactly 100 years old, how many leap years will that person see
Does prime factorization rename a composite number as the product of prime factors
Answer:
Yes
Step-by-step explanation:
Prime factorization does rename a composite number as the product of prime factors.
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?
What is the value of x? 3 /4 x+5− 1 /2 x=3
find the inverse of f(x)=-3x+3
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
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.
What is the measure of ∠F?
What is the measure of ∠R?
What is the measure of ∠C?
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°
Do you know the answer to this question
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
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.
A line contains the points (82, −96) and (87, −86) .
What is the slope of the line in simplified form?
Enter your answer in the box.
15+r in verbal expression
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?
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.
How do you write -6.16666666... as a fraction?
Property of equality states that if LM = 7, and ER + LM = NP, then ___ = NP
a. LM + 7
b. ER + LM
c. ER + 7
d. 7
Answer:
NP
Step-by-step explanation:
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?
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
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.
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.
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?
Answer:
the answer is (1-y)
Step-by-step explanation:
i took the calculator and did the math and got that
Is it possible to draw a triangle with 150cm , 10cm and 10cm
Solve for B.
R = x(A+B)
Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).
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?
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.
−32+(−2)=
whats the answer
A land developer declared a dividend of Php 10,000,000.00 for its common stock. Suppose there are 600,000 shares of common stock, how much is the dividend per share?
The dividend per share is 16.67 and this can be determined by using the formula of the dividend per share.
Given :
A land developer declared a dividend of Php 10,000,000.00 for its common stock.Suppose there are 600,000 shares of common stock.The formula of Dividend per share can be used to determine the value of dividend per share. The formula of dividend per share is given by:
[tex]\rm Dividend \; per \; share = \dfrac{Dividend }{Total\; number \;of \;shares}[/tex]
Now, substitute the value of the known terms in the above formula:
[tex]\rm Dividend \; per \; share = \dfrac{10000000 }{600000}[/tex]
[tex]\rm Dividend \; per \; share = \dfrac{100 }{6}=16.67[/tex]
So, the dividend per share is 16.67.
For more information, refer to the link given below:
https://brainly.com/question/1957976
-4(5a - 6b + 10c - 3)
The coordinates of the points M, N, P, and Q are -11, 32, -15, and 17, respectively. Which point is closest to the origin? M N P Q
please help me with this!!!!!!!!!!
x/(2/9) = 6
x *(9/2) = 6
9x/2=6
9x = 6*2
9x=12
x = 12/9 = 4/3
X = 4/3
a baker starts with 4/10 kilogram. of flour to make bread he adds 3/100 kilogram of flour to his bread mixture how much total flour is used to make the bread
Answer:
Total amount of the flour used is [tex]\frac{43}{100}[/tex] kg.
Step-by-step explanation:
Baker starts with [tex]\frac{4}{10}[/tex] kilograms of flour to make bread.
He further adds flour to his bread mixture = [tex]\frac{3}{100}[/tex] kg
Now we have to calculate the amount of flour he used to make the bread.
Total flour = [tex]\frac{4}{10}+\frac{3}{100}[/tex]
= [tex]\frac{40+3}{100}[/tex]
= [tex]\frac{43}{100}[/tex] kg
Therefore, total amount of the flour used is [tex]\frac{43}{100}[/tex] kg
Use the premises and conclusion to answer the questions.
Premises:
If the sides of a triangle are the same length, then the triangle is an equilateral triangle.
If a triangle is an equilateral triangle, then the measure of each angle is 60°.
Conclusion:
If the sides of a triangle are the same length, then the measure of each angle is 60°.
Is the argument valid? Why or why not?
The argument is not valid because the premises are not true.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of syllogism.
The argument is valid by the law of detachment.
Answer: The argument is valid by the law of syllogism.
Step-by-step explanation:
Law of syllogism in geometric arguments is similar to transitive property which tells that that if x=y and y=z then x=z.
Given premises: If the sides of a triangle are the same length, then the triangle is an equilateral triangle.
If a triangle is an equilateral triangle, then the measure of each angle is 60°.
Therefore by law of syllogism we can conclude that "If the sides of a triangle are the same length, then the measure of each angle is 60°."