Two sides of a quadrilateral have the same length, x, whilethe other two sides have the same length, both being thenext consecutive odd integer. Write the sum of these lengths. Then simplify this expression.

Q: If AC=4x-60 and AE=x+5, find EC

A: The solution is:

Q: Write out this formula in the form of a sentence ?

A: To write the formula in the form of a sentence.

Q: Explain why in any digraph, the sum of all the in-degrees must equal the sum of the out-degrees.

A: To prove, the sum of all the in-degrees must equal to the sum of all out-degrees. In-degree of a…

Q: use an algebraic approach to solve each problem. If one-half of the complement of an angle plus…

A: Given: One-half of the complement of an angle plus three fourths of the supplement of the angle…

Q: A quadrilateral is a four­sided figure like the one shown below whose angle sum is 360°. If one…

A: Given, one angle measures x° second angle measures 3x° third angle measures 5x°     Find the fourth…

Q: The expression (4x + 5)(16x2 - 20x + 25) simplifies into which of the following sum or difference of…

A: This question is related to algebraic operations, we will solve it using given information.

Q: What is the length of −3a if ||a|| = 5?

A: Given that a=5 we need to find the length of -3a. Recall that the length of a vector v is given by…

Q: If a number is added to the numerator of 3/10, and twice as much is added to the denominator, the…

A: Let the added number be x. And the given fraction is 310.

Q: For two supplementary angles, find an expression (in degrees) for the measure of the second angle if…

A:

Q: Translate this phrase into an algebraic expression. The sum of 23 and twice Malik's height Use the…

A: Given that: The sum of 23 and twice Malik's height. To find: We have to find algebraic expression…

Q: The expression (2x)* (2x) is equal to: Select one: 4x2 O 4x -4x O None O 2*4x

A: xm .xn  = xm+n xm . x-n = xm-n

Q: Simplify. 5,3 18x73 Assume that all variables represent positive real numbers.

A: Given, 18x5z3 We have to simplify it.

Q: Solve ∆ABC if a = 0.283, b = 0.178, and α = 121.624◦

A:

Q: use the associative property of multiplication to find an easy way to mentally calculate 16X25.…

A: Associative property is A×(B×C)=(A×B)×C

Q: Which pair of integers have a product of -30 and a sum of -13?

A: Let x and y be the numbers.

Q: Solve the inequ and show the solu 홍-1> 좋 or- (홍-1) > 중 | 1-

A:

Q: Domatn ९क)= equals (3-0) D True २ ९ false

A:

Q: The terms 4x2y and -2x y are like terms. O True False

A: Like terms

Q: The sum of mABand mBC'is equal to - A O 120° O 240°- mAC 180° mAC

A:

Q: If p is a positive number and n is a negative number, determine whether each statement is true or…

A: Given ,p is a positive number and n is a negative number Then p-n is always a positive number.…

Q: The sum of 3.8 x 106 metric tons and 2 x 106 metric tons is subtracted from 2.26 x 10° metric tons…

A:

Q: If the 8th term of AP is 31 and the 15th term is 16 more than the 11th term ,find the AP.

A:

Q: Find the four numbers in AP whose sum is 20 and the sum of whose squares is 120.

A: Numbers are said to be in AP there is constant difference between them

Q: A triangle has side lengths of (5.5x+6.2y) centimeters, (4.3x+8.3z) centimeters, and (1.6z – 5.1y)…

A:

Q: If AB = x + 1, BC= 5, and AC = 20 what does AB= ? Write the number only as your answer. B

A: Given AC=20 , BC=5 and we need to find AB. If we observe the figure that the the length of the AC is…

Q: If AC = 30 and BC= 5 what does AB= ? Write the number only as your answer %3D A B C

A: Given,           AC= 30 and BC= 5

Q: write the first terms of the AP when a and d are as given below a = 1/2 , d=-1/6

A:

Q: ot need to simplify. of 9 and the sum of a number and 4

A: Algebraic expression is made up of variable and constant.

Q: Insert either <, >, or = in the blank to make a true statement l3/5l …...l-0.6l.

A: It is given that, 35......-0.6 We have to insert either <, >, or = in the blank to make a true…

Q: The fifth root of 7.20x1022 = ?

A: To find: The fifth root of 7.20x1022  Concept used: The fifth root of number x can be expressed as…

Q: If the width of a rectangle is represented by x and the length is represented by x + 200, write a…

A: Given, width of a rectangle is x and the length of the reactangle is (x + 200)

Q: Select the correct choice that completes the sentence below. Ha

A: Solution-: μp^=? (a) p^ (b) μ (c) p (d) σp^=?

Q: Use the variable x to write the phrase in symbols. The sum of 146 and the product of a number raised…

A: The numbers used for the counting are called natural numbers. The natural numbers along with zero…

Q: Find the domain and rang with complete solution.

A:

Q: In an older television set, the screen height is 0.75 times the screen width. If a television set…

A: Width of TV = w Height of TV = 0.75w Diagonal = d = h2+w2d = (0.75w)2+w2d = w1.5625

Q: Find the first 4 terms of an (-2)=1.

A: Given query is to find first 4 terms.

Q: The lengths of the legs of a 45°-45°-90° triangle can be described by the expressions 4x - 12 and x…

A:

Q: Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an…

A: Here we have expression for earnings of 3 persons namely Regina, Phil, and Joseph. We have to find…

Q: The expression (2x)5 (2x) 3 is equal to: Select one: 4x2 O 2 *4x² O - 4x2 O None О 4x2

A:

Q: In which set is each number a solution of 2 + 2x 6?

A: Given,          2 + 2x ≤ 6

Q: Write each sentence as a mathematical statement.  Eight is less than twelve.

A: Given sentence is "eight is less than twelve". To write the sentence as a mathematical statement.…

Q: Six is 2/3 of what number?

A:

Q: If AB = x + 7, BC= 2x, and AC = 19 what is the value of x? Write the number only as your answer. I B

A:

Q: Simplify as much as possible. xV12xu² +2u V27x Assume that all variables represent positive real…

A:

Q: Translate each word statement into symbols.  The difference of twenty and twelve is equal to the…

A: The difference of twenty and twelve means 20-12  product of two and four means 2×4

Q: If AB = x + 1, BC= 5, and AC = 20 what does AB= ? Write the number only as your answer. A

A: Given AB = x+1BC = 5AC = 20

Q: If AC = 30 and BC= 5 what does AB= ? Write the number only as your answer. %3D B

A: Let the distance AC = 30, BC = 5. If the three points A, B, and C are on the straight line then they…