If two circles have radii of 22 and 14, respectively, if the circles are concentri then length of their line of centers is a) S

Q: Six congruent circles are arranged in a circle in a way that each circle is tangent to at least two…

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Q: Two parallel chords of a circle each have length 16. The distance between these chords is 12. Find…

A: Given: The distance between the cords is 12 and the length of the chord is 16. To find: The length…

Q: If the radius of a circle is 13 in, then what is the area of a sector bounded by a central angle of…

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Q: What additional information is needed to prove triangles congruent by HL?

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Q: find the parameter of a triangle having a max area , that is circumscribing a circle of radius 8 cm

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Q: Draw a rectangle and bisect its angles. The bi- sectors intersect to form what special kind…

A: We are given:    ABCD rectangle: m∠DAB=m∠ABC=m∠BCD=m∠ADC=90°   m∠DAB=m∠ABC=m∠BCD=m∠ADC=90°AA'¯…

Q: If two inscribed angles of a circle intercept the same arc, these angles are congruent. true or…

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Q: Prove that the triangles in the diagram are similar.

A: A triangle is said to be similar if they have the same ratio of corresponding sides and equal pair…

Q: Construct a regular pentagon in a circle of radius 2 units.

A: Given, a regular pentagon in a circle of radius 2 units.

Q: Prove that any angle bisector of a triangle separates the opposite side into segments whose lengths…

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Q: Prove: If the ray that bisects an angle of a triangle is perpendicular to the side that it…

A: To prove  if the ray that bisects an angle of a triangle is perpendicular to the side that it…

Q: If each interior angle of a regular polygon has a degree of 168, the polygon has 30 sides. True or…

A: True.

Q: Suppose that a circle is divided by points A, B, C, and D into four congruent arcs. What is the…

A: Let r be the radius of the circle. Since the arcs formed by the points A, B, C and D are congruent,…

Q: Two congruent intersecting circles B and D (not shown) have a line (segment) of centers BD and a…

A: The figure is drawn as shown in the figure with the give conditions.B and D are the centers of two…

Q: This isosceles triangle has two sides of equal length, a, that are longer than the length

A: If isosceles triangle has two sides of equal length means it is isosceles right triangle.

Q: The ratio of interior angles of two regular polygons is 2: 3. Find and name all pairs of regular…

A: Answer is mentioned below

Q: Prove that if a Pythagorean Triangle has even sides, then its perimeter, P, divides its area, A.

A: We have to prove perimeter P divides area A.

Q: Suppose that a circle is divided into three congruent arcs by points A, B, and C. What is the…

A: Since, we have been given that a circle is divided into three congruentarcs by points A, B and C.…

Q: Given line segment MN is parallel to line segment QR, prove triangle MNP is similar to triangle QRP

A: Given: The triangle MNP and the triangle QRP as shown in the figure. The line segment MN is…

Q: circles G and are congruent, what can you conclude about OG and OE?

A: Given question is Circles G and E are congruent, what can you conclude about OG and OE?

Q: A circle is inscribed in a polygon if each side of the polygon is tangent to the circle. true or…

A: If all the vertices of a polygon are on the circumference of a circle, the polygon is inscribed in a…

Q: Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by…

A: D, E, F are non-collinear points as shown below.  OA and OB are the perpendicular bisectors of DE…

Q: Prove that the line segment joining the mid-point of a sides of a triangle,divide it into 4…

A: Let PQR be a triangle. Let, D, E, and F are the midpoints of the sides AB, BC, and CA respectively.…

Q: These triangles are congruent by the triangle congruence postulate [ ? ].

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Q: A set of points is called concyclic if all the points lie on a common circle. Prove that a…

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Q: Given APQR, Marissa constructed point O as shown. Next, Marissa will draw a circle with center 0 and…

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Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

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Q: These triangles are congruent by the triangle A congruence postulate [ ? ].

A: Given: ∠A=∠PAC=PR∠C=∠R So, by ASA these triangles are congruent.

Q: The side labeled b has been chosen as the base for this parallelogram. Draw a segment showing the…

A: The diagram is shown in the figure represents the parallelogram. One side of the parallelogram is…

Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. Enter

A: The answer is given below:

Q: Prove that a quadrilateral can be inscribed in a circle if and only if its opposite angles are…

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Q: prove that if one side of a triangle is a common measure of the other two sides then the triangle is…

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Q: . Show that a triangle with vertices (1, 4), riangle. Find its area.

A: We will solve the problem.

Q: An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its…

A: We know that in isosceles triangle median through vertex on base is perpendicular to base, and it…

Q: Show that triangle with vertices p(6,-7),q(11,-3) and R(2,-2) is a right angled triangle using…

A: We first find the length of the sides using the distance formula.…

Q: If two sectors have an area of 12Tsquare units, and one sector is from a circle with radius 6 units,…

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Q: Verify that line segments of length 8, 19, and 25 cm form a triangle and classify the triangle as…

A: Triangles:  Triangle is a closed figure bounded by three line segments. A triangle can be Scalene,…

Q: The region bounded by two radii and arc of a circle is called

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Q: In the triangles PQR and STU, ZRPQ = 2 × ZUST, ZPRQ = 2 × ZSUT and ZRQP = = x LUTS. %3D %3D How…

A: Given that in triangle PQR and STU, ∠RPQ=2×∠UST,              (1)∠PRQ=2×∠SUT,…

Q: Prove that the line segment joining the midpoints of two sides of a triangle determines a triangle…

A: Let draw the triangle △ABC  and the midpoints of the two sides as follows.

Q: The triangle ABCD is given. Let c1 be circle passing through vertex A and intersecting sides AB and…

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Q: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to…

A: Given:  AM¯=BM¯ ________ (1) AN¯=CN¯ To prove: MN¯=12BC¯ Construction: Extend MN¯ to a point D and…

Q: Does a scalene triangle have line symmetry?

A: A scalene triangle is a triangle in which all three sides are in different lengths, and all three…

Q: It is known that regular pyramid P.QRST with length RS = 8 cm and PR = 12 cm, such as on picture. By…

A: Given regular pyramid PQRST with length RS = 8 cm and PR = 12 cmRS = ST = TQ = QR = 8 cm { Regular…

Q: Choose two figures which are topologically equivalent to eaci

A: Two figures are known to be  topologically equivalent if  we can transform one figure into the other…

Q: Find the length (cm) of a common chord of two circles of radii 25 cm and 26 cm respectively, if the…

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Q: Given a line segment with length​ a, what special parallelograms meet the following​ condition? Show…

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Q: What additional information would be necessary to prove that the two triangles, triangle XBY and…

A: Given:

Q: Draw an inscribed quadrilateral ABCD and its diagonals intersecting at E. Name two pairs of similar…

A: Clearly from the below daigram we can see thatthe two pairs of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.