Which of the following must be true?(I) If two lines form congruent adjacent angles, then the lines are perpendicular.(II) If two lines are perpendicular, then they form congruent adjacentangles.(III) If the exterior sides of two adjacent obtuse angles are perpendicular,then the angles are complementary.

Q: 5) Find the angle between the lines. y+2 %3D z-5 2x – 3 = y + 9 = 2z + 7 & x +1 = | 2 2.

A: Putting the value of drs of line , we can get angle

Q: Find the (smaller) angle at the point of the following lines: U: (x₁y) = (1₁3) + r(2,5) of in

A: Introduction: Similar to the calculation of the angle between two lines in a coordinate plane, the…

Q: 6. V=(2,-3). W=(4, 5) Find (a) 2v-w, ( b) V.W (C) angle between V and W

A: 6. The given data is: V=2,-3, W=4,5 To find the value: a 2V-W

Q: The points A, B, C, D, E, F, G, and H are the eight corners of a rectangular box. ABCD is its…

A: 1st we need to find all points and then using dot product ( scaler product ) of vector to find…

Q: Given the point AB and CD that pass through the points A(3,-5), B(2,-1), C(0,3) and D(1,7). Is this…

A:

Q: 10) P (-2, 0), Q (10, -14), and R (-4, -2), then determine the distance between each point. Th state…

A: We are asked to find the distance .

Q: Consider the angles in the accompanying figure. Classify the named angles as acute, right, straight,…

A:

Q: Find the angle #2 and # 5 when angle #= 48 Bisector 2 3 48 4 10 ग

A:

Q: The sides of the pair of angles are parallel. Are 23 and Z4 congruent? 3

A: Given, the sides of the pair of angles are parallel.

Q: 4x-2y+2z=4.   (a)  Compute the angle between these planes. (b)  Compute the line of intersection…

A:

Q: For each of the following question, find: (i) Intersection point between the line, L and the plane,…

A: Given a) L: r→=3i~+3j~-2k~+t2i~-2j~+3k~     P: r→.i~+2j~+k~=3 b) L: r→=2i~+k~+ti~+2j~-2k~     P:…

Q: Z1 and 2 are supplementary. If two angles are supplementary, then the sum of their measures is 180.

A:

Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

Q: Ex #3: Use the diagram from Ex #2 to identify a pair of each type of angles. 1EXTRA PRACTICE (NOTE…

A: we will take lines B and C       we have to find the vertical angles at lines B and C…

Q: *3.) (5x)° 74°

A:

Q: Advanced Math prove that corresponding angles of two parallel lines and their intersection cannot be…

A: Corresponding angles are equal if the transversal intersects two parallel lines. If the transversal…

Q: (c) proj.b (d) The angle between a and b

A:

Q: irectly opposite on the other side/shore. If the speed of the boat (in still water) is 16 mph and he…

A:

Q: find coordinates for a point / that makes angle JKM

A:

Q: Are the following lines parallel, intersect at a point, or skew? x = 4-3t y = 2+5t z = -2+t ----- x…

A: The objective of this question is to determine the relationship between two given lines in…

Q: 1, In the quadrilateral shown OA = 2a, OB = 2b, OC = 2e. Points P. Q. R and S are the mid-points of…

A:

Q: Question 5. , Which of the following statements is true about the lines L1 : x= 4 – 2t, y = 2+ 2t, z…

A:

Q: d. Find angle between planes 12x+15y–17z =96 and 19x –13y–15z = 69. %3D %3D

A: d. First let us discuss the how to find angle between two planes. If we find angle between the…

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: