Show that each statement is false by providing a counterexample. (a) If the area of a rectangle is 36, then the length is 12 and the width is 3. Counterexample: length L width = (b) If the measures of P,2Q, and ZR sum to 180°, then all of the angles must be acute. Counterexample: m ZP = ]', m LQ = [', m Z R = [] %3D (c) If the length of XZ is 52 and point Y lies on XZ, then XY= 26 and YZ = 26. Counterexample: XY = YZ = D

Q: What is the coordinate of P? of R?

A: Explanation: Given x-axis

Q: Which is greater, the distance from A to B or the distance from A to C?

A: Given,

Q: Find and write the "Y" coordinate of Point 1 illustrated in the figure below. • Write your answer to…

A: We have to find the y- coordinate of point 1.

Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: 3. c ² +7z+10 dz, C: |F|=1

A:

Q: Find MLABD. (9х - 22) (6х - 7) D.

A: Given that:

Q: An engineer sees a building at an angle of elevation of 8 degrees. If the engineer is located…

A:

Q: The distance from point (2,1) to point (8,-7) is: | a 14 V14 C 10 d e 12

A: Webhave to find distance between given point.

Q: O= 36 AE= 25 AB: 37 m Find DC 2 DE AD= 20m AB = 7 m BC = 7 m %3D B. FIND CD.

A: Given values are  AE=25m,AB=37m

Q: ZM and ZN are consecutive (same-side) interior angles forme by two parallel lines cut by a…

A: Same Side Interior Angles Theorem:- If two parallel lines are cut by a transversal, then the same…

Q: Convert coordinate (5,4) to palar coor dinates, o<o<2r and cdo Raund the Cartesian to 3. decim…

A:

Q: sec(-60°) 2 -2 √3/2

A:

Q: S = 1/2(a +b + c) for a (geometry, semi or half perimeter of a triangle)

A: We have to write the formula for area of triangle.

Q: ZA and ZB are complementary angles. mLA is 10° less than 4 times mZB. Find mZA and mZB.

A: Complementary angle = 90° Let m∠A =x

Q: 8, E 12, A с a. DAED - ДАСВ. Х D √6 B

A: This is a problem related to geometry of triangle. Based on the general formula and concept we will…

Q: mZM by+10 nd x and y if m/4= (6y + 10), mZ5 27 = 4xº. 1 2 3 41 74° 9-12 S 8 mZME 6 - y = 147 nsider…

A:

Q: 6) Find mZH. = 899 5x-7 14x+ 1 D.

A:

Q: Is (-2). -2) = (-2°. (-2)? b. Is (5, –5) = (-5, 5)? c. Is (8 – 9,V–1) = (-1, –1)? (-2)°) = ( –8)? d.…

A:

Q: 13. Abdul and Chiang are standing 48 feet apart in a field. Bharat is standing in the same field as…

A:

Q: (A. Given S = ZXN Define equivalence relation on 8 #2XN as ca,b)~ Cc,d) if and only if ad-bc = 0.…

A: First of all you need to properly understand the definition of equivalence relations, I am writing…

Q: a. 7x8-3x° C. e. (8y-4y) = (2y -4-y2 Simplify the followin 2x2 +4x- x a.

A: "Since you have posted multiple questions with multisubparts, we will solve the first question with…

Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.