Consider the triangle with vertices at R(- a, 0), S(a, 0), and T(0, b). Explain why ARST is an isosceles triangle. T(0, b) S(a, 0)

Q: Consider the triangle with vertices in the points D(-5,0,5), E(2, 1,3), and C(3, 1,4). Compute the…

A: Vertices of triangle D(-5, 0,5) , E(2, 1,3) and C(3, 1,4) . We have to compute the area of triangle…

Q: Sketch the triangle with vertices O, P = (0,7, 3) and Q = (7,4,0) and compute its area using cross…

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Q: Show that the triangle with vertices A(7,8), B(1, 20), C(1, 10) is an isosceles right ti plane model…

A: Given: To explain the given statement as follows, In the upper half-plane model for hyperbolic…

Q: Evaluate the line integral along the given path(s).

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

Q: The midpoint of AB is M (5, –5). If the coordinates of A are (3, –6), what are the coordinates of B?

A:

Q: A plane P cuts sphere O in a circle that has diameter 20. If the diameterof the sphere is 30, how…

A: We have given that we have a plane P that cuts the sphere with center O having diameter 30 units  at…

Q: Find the area of the triangle determined by the points P, Q, and R. 1- P(1, –1,2), Q(2, 0, –1), R(0,…

A: To find the area of the triangle determined by the points P,Q and R.

Q: A vertical plane intersects the triangular prism. Which best describes the cross section? C

A: Question said that there is a triangular prism which is intersected by a plane and we have choose a…

Q: Consider the quadrilateral y with vertices at M(0, 0), N(a, 0), P(a, b), and Q(0, b). Explain why…

A: Given figure is: Quadrilateral MNPQ has vertices M, N, P, Q with coordinates (0, 0), (a, 0), (a, b)…

Q: he measure of t

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

Q: 3) 9ry dA, R is the triangle with vertices (0,0), (0,3) and (4, 3)

A: Given integral to evaluate ∫∫R9xydA R is triangle with vertices 0,0,0,3,4,3 The triangle will be

Q: The cosine of the acute angle e between the diagonais of a quadriateral having vertices at (0,0,0),…

A: Given:

Q: Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

A:

Q: Consider the triangle with vertices at A(0, 0), B(a, 0), and C(a, b). Explain why AABC is a right…

A: Consider the given vertices A0, 0 , Ba, 0  and  Ca, b of △ABC  First, find the lengths of the sides…

Q: A can tessellate a plane. O Equilateral triangle O Regular heptagon O Regular decagon O Regular…

A: Given:  A ....... can tessellate a plane.

Q: -dA where R is the triangle of vertices (0,0), (1.0) and (0, 1). answer: 0

A:

Q: The perpendicular bisectors of the sides of any triangle ABC are concurrent. The point is called the…

A: The perpendicular bisectors of the sides of any triangle ABC are concurrent.

Q: Vaughn Pang sketched trapezoid RUIZ on a coordinate plane. RUIZ has vertices located at R(1,4),…

A: Given:In trapezoid RUIZR≡1,4U≡-2,0I≡7,0Z≡3,4To find:Perimeter of RUIZ

Q: Is a triange with the verticies A(7,1) B(0,4) and C(-4,-8) a right triangle yes or no?

A:

Q: (2, 3.5)

A: Here, the given function is,

Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

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Q: Evaluate ry dr +r dy, where C is the positively oriented triangle enclosed by the lines y = I=0 and…

A:

Q: . Consider an acute angled triangle ABC and a point D on BC. Find points (by construction) E on AC…

A: We need to construct points.

Q: The midpoint of AB is M(2, –2). If the coordinates of A are (-2, 1), what are the coordinates of B?

A: Recall: Mid point Formula: The midpoint of M(x,y) of the line segment from A(x1,y1) to B(x2,y2) is…

Q: The coordinates at the vertices.A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: Given,  The coordinates of vertices of triangle A-3, 7  B2, 19  C10, 7   We have to find the length…

Q: The coordinates at the vertices A.B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A: If we can find the height of the triangle then area can find out using 12×base×height

Q: Find the area of the triangle with vertices P(1, 0, 7), Q(0, 6, 7), and R(1, 4, 0).

A:

Q: What is the area of the triangle whose vertices are at (p,q) (3p,q) and (2p,3q), where p.q>0 ? C2pq…

A: We have to find the area of the triangle whose vertices are p,q,3p,q, and 2p,3q.

Q: Evaluate ry dr + r'dy, where C is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)

A:

Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: 11. In a quadrilateral ZA = 63°, ZB = 54°, ZC = 136°, ZD = 107° Are these the measures of a…

A: In trapezium there are two parallel lines  I.e. two pairs of co interior angles are supplementary.

Q: Consider a triangle with vertices A(1,0,0), B and C. Assume that • A : 1 • BC is parallel to the…

A: Given: A triangle with vertices A(1, 0, 0), B and C. BC is parallel to the y-axis and ||AB||=3

Q: The midpoint of AB is M(6, 1). If the coordinates of A are (4, 8), what are the coordinates of B?

A: As we know that the midpoint formula: Mid point x,y=x1+x22,y1+y22 Given: Mx,y=6,1Ax1,y1=4,8

Q: The midpoint of AB is M(0, –4). If the coordinates of A are (–8, –7), what are the coordinates of B?

A: Coordinate of the midpoint of a line joining the points (x1,y1) and (x2,y2) is (x,y)=x1+x22, y1+y22

Q: 7. Find the measures of the hyperbolic angles of the Euclidean square with vertices (0, 1), (0, 2),…

A:

Q: Consider the triangle ABC with vertices A(0,2), B(2,0), C(/2, v2) Also, Find the vertices of the…

A: The triangle ABC with vertices A(0,2), B(2,0), C(2,2)The dilating factor of 3 about origin.

Q: The midpoint of AB is M (1, 6). If the coordinates of A are (8, 4), what are the coordinates of B?

A: To find B coordinate.

Q: In the standard (x, y) coordinate plane, what is the length of RS given R(8, 5) and S(-1,3) ?

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Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Figure FGHIJK is a regular hexagon. Segment FK is located at F (1, 2) and K (4, 2). What is the…

A: To determine the perimeter of the hexagon.

Q: Consider the quadrilateral with vertices at A(0, 0), B(a, 0), C(b, c), and D(d, c). Explain why ABCD…

A: Trapezoid: Trapezoids are quadrilaterals which have two parallel sides and two non-parallel sides.…

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: 24 А(-3, 2), В(5, —4)

A: Given A-3,2,B5,-4 to find a point that expresses the fact that an arbitrary point P(x, y) is on the…

Q: Write an indirect proof. 7. Given: mZ1 + mL2 Prove: AABC is not an isosceles triangle with vertex B.

A: The solution is :

Q: hat are the coordinates of the point on the directed line segment from (–7,5) t ',-9) that…

A: In the question we need to find the coordinates of a point which divides the line segment joining…

Q: The midpoint of AB is at (0, 2). If A = (– 9, – 2), find B. |

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Q: The midpoint of AB is M(1,3). If the coordinates of A are (-1, 5), what are the coordinates of B?

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Q: Classify the triangle PEN as scalene, isosceles, or equilateral from the given vertices. P(4, 7),…

A: We have been given the coordinates of a triangle  P(4, 7) E(6, 2) N(5, -2)

Q: The midpoint of AB is M(1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A: