Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's supplement. The measure of the angle is four times greater than its supplement.   What is the measure of the​ supplement?

Q: Robin conducted a survey of the students at her school and discovered that 30% of students prefer…

A: Let the total number of students in the school be 'x'. According to the question, 30% of students…

Q: Write an algebraic equation for the cost of 21 liters of gasoline, If x pesos per liter Samantha is…

A: The cost of x pesos per liter is 2092.00.

Q: The equation used to predict how tall a dog will be as an adult is ŷ=4.5 + 0.7x1 + 0.55x2, where x1…

A: From the given information, the regression equation is y^=4.5+0.7x1+0.55x2. Here, x1 is the height…

Q: 10. -2х - у 3 `x + y = 0

A:

Q: use an algebraic approach to solve each problem. Abby has 37 coins, consisting only of dimes and…

A: To solve the given problem.

Q: Which values of x is a solution to the equation 5(x-2)+7=37?

A: The given equation is: 5(x-2)+7=37

Q: For Exercise, solve the equation. (x2− 4)2 − 7(x2 − 4) − 60 = 0

A: Given:

Q: The total cost C (in dollars) to participate in a ski club is given by the literal equation…

A: Given: C=85x+60, Where is x is the number of ski trips you take. To solve: A. The equation for X. B.…

Q: rentel car company charges a base fee of $53.67 plus $0.75 per mile driven. If X represents the…

A:

Q: Write an algebraic equation for the following problem and then solve it. A landscaping company needs…

A: Given ,  A landscaping company needs 180 gallons of 24% fertilizer to fertilize the shrubs in an…

Q: Solve the problem by setting up and solving an appropriate algebraic equation. Suppose that you have…

A: To find the number of quarts of each alcohol that should be mixed to produce 40 parts that is 45%…

Q: A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide.…

A:

Q: by setting up and solving an appropriate algebraic equation. The perimeter of a triangle is 42…

A: GivenPerimeter  of a triangle =42 inches.Second side is 1 inch more than twice the first sideThird…

Q: Felipe sold t-shirts and hats at a festival. He made a $6 profit for each t-shirt he sold. He also…

A: Given:  Felipe sold t‐shirts and hats at a festival. He made a $6 profit for each t‐shirt he sold.…

Q: Make x the subject of the formula- y = (4x+7)/5

A: It is simple calculation.

Q: end of each week, she will add $20 to the account. Write an equation to describe the total amount S,…

A: $35 initially After 1 week  Total amount = 35 + 20 After 2nd week  Total amount = 35 + 20 + 20 = 35…

Q: At the beginning of spring, Madelyn planted a small sunflower in her backyard. The sunflower's…

A: Given: h=16+4w                       where h is height of plant and w is time in weeks we need to…

Q: 3.) Members of a soccer team raised $967.50 to go to a tournament. They rented a bus for $450.00 and…

A:

Q: A group of friends wants to go to the amusement park. They have $87.25 to spend on parking and…

A: The group of friends have $87.25 to spend on parking and admission. Parking fee is $6.25, which will…

Q: Which equation is the general form of (x-2)^2-(y+5)^2=18

A:

Q: Translate the word problem into an equation and solve algebraically.  Include correct units.  The…

A: Given, Width = 6 feet more than width Area = 72 sq feet

Q: Todd and Jeff are throwing rocks and create equations to track how high (feet) the rock travels, as…

A:

Q: Solve the equation for x. y = 7(x- 4) + x (Simplify Your answer Use integers

A:

Q: Carmen climbed to the top of a cliff 35ft above sea level she then dove into the ocean traveling a…

A:

Q: by setting up and solving an appropriate algebraic equation. Suppose that the length of a certain…

A: by setting up and solving an appropriate algebraic equation. Suppose that the length of a certain…

Q: In a triangle one angle, A, is 10 degrees more than the second angle, B, and the third angle, C, is…

A: given:

Q: 1 of the total Challenge At a party, the amount of people who ate chicken wings was 10 less than…

A: Let total number of people be 'x'. Number of people who ate chicken wings = 2

Q: Charles needs enough fencing to enclose a rectangular staden with a perimeter of 140 feet . If the…

A: Perimeter of rectangular garden=140 feetLet length of garden is x & width is given 30…

Q: group of friends wants to go to the amusement park. They have $80 to spend on parking and admission.…

A:

Q: Write a complicated equation that is less than or equal to x is greater then or equal to 4/3.|

A:

Q: What are the 2 values for x that make the equation below true? 2a2 + x- 28 =0

A:

Q: Tickets to the theme park cost $50 for adults and $30 for children. The total cost for a family of 5…

A:

Q: Solve the problem by setting up and solving an appropriate algebraic equation. A pharmacist has an…

A: Here is the solution of the given problem.

Q: The value of a yen in Japan in February 2018 was given by the equation $1 = 109.415 yen. What was…

A: Given that  The value of a yen in Japan in February 2018 was given by the equation $1 = 109.415 yen.…

Q: 3. Write the following situation in the form of equations: Raju's father's age is 5 years more than…

A: Raju age is 13 years.

Q: rocket is shot vertically into the air. Its height, h, at any time,t, in seconds, is modeled by the…

A: A rocket is shot vertically into the air. Its height, h, at any time, t, in seconds, is modeled by…

Q: A group of friends wants to go to the amusement park. They have $87.25 to spend on parking and…

A: topic - linear equation in one variable

Q: Rhonda purchased a flat screen tv by writing a check for $372.60. If the sales tax where she lives…

A: Given, the check amount is $372,60, The sales tax is 8%. Now let the Original price of TV before…

Q: by setting up and solving an appropriate algebraic equation. A car leaves a town at 60 kilometers…

A: Given:           Speed of first car =60 km/hrSpeed of second car =75 km/hr

Q: 4) peters feet are 12 inches long. He stepped out the length and width of a room and found it was 10…

A: Given  Peter's feet are 12 inches long  The room length is 12 feet  and  10 feet .

Q: Write an algebraic equation for the given statement. The 347 students who listed soccer as their…

A:

Q: joan has a girft card to the gym worth $100 . Each time she visits the gym , $12 is deducted from…

A: We can form the equation as below.

Q: Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which…

A: Given that Maya painted 34 of her art project in the morning and 18 of her project in the evening.…

Q: Find the value of x. 40 5x-2 55 x = [? ] 6x+6

A: Parallel lines separate the transversals into same proportions. So,  4055=5x-26x+6

Q: Translate to an algebraic equation. use x as the variable in each case.5 less than a number is 12.

A: Let the number be x

Q: What is the solution to the equation x? – 12x – 28 = 0? А. x = -2 and x= 14 В. X = -14 a

A: General form of a second degree quadratic equation is,            ax² + bx + c = 0 To find the…

Q: Which value of x makes the equation .5(x + 8) = 3 +.25(x - 4) true?

A:

Q: Translate to an algebraic equation. use x as the variable in each case.3 more than a number is 7

A: Let the number be x

Q: Ms. Chang sold 28 cars. She sold 8 fewer than as many cars as Mr. Diaz. Which equation can be used…

A: Here c is the number of cars Mr.Diaz sold

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.