2. If ARST is an equilateral triangle, find x and the measure of each side 12x-22 10x -6

Q: For triangle ABC, M and N are the midpoints of the indicated sides. If MN = x + 2 and BC = 4x - 12,…

A:

Q: If a leg of a 45°-45°-90° right-triangle is 12 cm, what is the me a. h =10 vz b. h =12 vZ c. h =2…

A: Given query is to find the length of the hypotenuse

Q: If the hypotenuse of a 30-60-90 triangle is 16 yards, what is the length of the short leg?

A:

Q: 15 If the quadrilateral is a parallelogram, find the missing measures. C CF = 10 FE = CE = F E *FD =…

A: We have given following values i.e. CD= 15  CG= 7  DE= 10 FD= 22  If Quadralaterial CDEF behaves as…

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

A:

Q: Can the sides of a triangle have lengths 16.3, 3.6, and 17.8? yes no

A: In a triangle sum of two sides is greater than the third side and the absolute difference of two…

Q: If EC= 10 cm and AE = 3x- 5, for what value of x is ABCD a parallelogram? ABCD is a quadrilateral…

A: Given :  ABCD is a quadrilateral with BE = ED. BD and AC are the diagonals of quadrilateral ABCD. EC…

Q: 1. What is the hypotenuse of a triangle whose legs are 10 and 24.

A:

Q: 8. If the triangles below are similar, find the perimeter of triangle DEE. C D 30 12 A 24 В

A:

Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______?

A: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______. By using Pythagorean theorem,…

Q: In quad. WXYZ, if WX = XY = 25. YZ = 20, ZW = 16. andWY = 20. then WY divides the quadrilateral into…

A: Let us draw the quadrilateral and visualize its segments. Please note that the figure is not drawn…

Q: If GHJ is an equilateral triangle, GH=5x-13, HJ=11x-61,  and GJ=7x-29, find x and the measure of…

A: Equilateral triangle GHJ can be drawn asGH=5x-13HJ=11x-61GJ=7x-29

Q: Find the exact perimeter of quadrilateral ABCD plotted below. B(1,5) C(5, -2) A(-5,-2) D(2, –6)

A: Perimeter of the Quadrilateral ABCD

Q: (d) A triangle is equilateral only if all its sides have the same length.

A: d) If all the sides of a triangle are having the same length, then only possibility will be that…

Q: 5. Which of the following is TRUE for the given quadrilateral?

A: The true Statements follow :   A : m∠T + m∠S = 180° E : TU is parallel to SW  J : STUW is a…

Q: This problem refers to triangle ABC. If b = 4.1 m, c = 6.2 m, and A = 114°, find a. a%3D m

A: Let the triangle be ABC:

Q: If AWXY is an isOsceles triangle with WX = XY, find x and the measure a 6x-77 3r + 4 Y 5x - 31

A:

Q: AABC is an isosceles triangle. AB is the longest side with length 8x +5. BC = 4x +4 and CA = 3x +9.…

A: Since,  the traingle is isosceles triangle. So, the traingle's two sides are equal.  So , we will…

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

A:

Q: If the height of an equilateral triangle is 5/3, then the length of its side is

A: Given : Height = 5√3

Q: In the diagram, AABC is an equilateral triangle, and D, E and F are the midpoints of its sides.

A:

Q: Illustrate that the sum of the measures of the angles of a hyperbolic triangle is less than 180°.

A:

Q: If a = -163° and B = 31°,what is the measure of 0? %3D m20 = メ of

A:

Q: Which equation would give the sum of the measures of all interior angles of a polygon?

A: Find the sum of the measures of all interior angles of a polygon.

Q: Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C =…

A: The given three vertices of a triangle are A(-1,0), B(2,1) and C(1,-2). Now, considering the sides…

Q: 9. AABC is an isosceles triangle with AB BC. If AB = 3x + 41, BC = 8x – 54, and AC = 12x– 103, find…

A:

Q: 3. The hypotenuse of a 30-60-90 triangle is 16, find the length of both legs.

A: 3) The given triangle is 30-60-90 triangle. The hypotenuse is given as 16. Sketch the triangle as…

Q: If the two shorter sides of a 45 degree –45 degree –90 degree triangle are both  3/4 , find the…

A: Consider the diagram of the triangle, according to Pythagoras theorem, In a right-angled triangle,…

Q: AABC is an isosceles triangle with AB BC. If AB = 8x + 9, BC = 12x - 11, and AC = 9x - 8, find the…

A: An isosceles triangle is a triangle that has two sides of equal length.

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: If the triangles shown are similar so that 3:4:5 = x:y:15, what are the values of x and y?

A: Given:

Q: The Pythagorean Theorem states that in any______triangle, the sum of the squares of the lengths of…

A: Use the Statement of the Pythagorean theorem which states

Q: An equilateral triangle has sides that measure 3x - 2, 2x + 1, and 5x - 8. What is the length of…

A: sides of the equilateral triangle are equal.

Q: Now 1. Looking at the roof of Coolidge below, identify any corresponding sides. A

A: We have to find the corrsponding sides

Q: Can the sides of a triangle have lengths 2.4, 0.9, and 1.5? yes no

A: Check if the given sides make a triangle

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

A:

Q: What is the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4,0), C(5,4), and…

A:

Q: Can the sides of a triangle have lengths 3.4, 8.2, and 11.6? yes no

A: Given 3.4 , 8.2  and 11.6

Q: If quadrilateral TUVW is reflected across the y-axis to become quadrilateral T'U'V'W', what will be…

A: The reflection across the y-axis will only introduce change in the x coordinate which will give a…

Q: S. The Converse of the Pythagorean Theorem is used to determine if a triangle is a right triangle.…

A:

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: Two vertices of equivalent triangle are 0, 0  and  2a, 0. Clearly, the distance between 0, 0  and…

Q: Which of the following pairs of polygons must be similar?a. two rectangles - b. two regular hexagons…

A: Query-  Which of the following pairs of polygons must be similar?a. two rectangles - b. two regular…

Q: 1. The hypotenuse of a 45-45-90 triangle is 5, find the length of each leg.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

A:

Q: Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA,…

A: Let's find.

Q: If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x- 19, and JL = 8x + 35, find the value of…

A: Hi thankyou for the question. Since you have posted multiple questions, as per the rule we will…

Q: B(- 4, 4) {(-4, 1): A(3, 1)

A: Given: Vertices of a triangle ABC are A3,1, B-4,4 and C-4,1. To find the perimeter and area of given…

Q: 6. If APOR is an equilateral triangle, PQ = 18x + 1. QR=24x-17, and PR= 15x+ 10, find x and the…

A:

Q: 32 If AMNP is an equilateral triangle, find x and the measure of each side. 4х -25 x + 14 M 6x - 51

A: An equilateral triangle has measures MN=4x-25, MP=6x-51, NP=x+14

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.