C. 3x +4 E. 9+x %3D DE is a midsegment of triangle ABC. If DE = x + 6 and BC = 3x + 4, what does x = ?

Q: In rhombus MATH, if ST = 3x + 3, and %3D MS =5x - 2. Find x.

A: Here given MAHT is a rhombus. ST=3x+3 MS=5x-2

Q: In triangle RST, RU = US and RV = VT, If UV, the midsegment, is equal to 2x-2 and ST= 8x - 28, find…

A:

Q: In the diagram below of triangle GHI, J is the midpoint of GI and K is the midpoint of HI .If JK =…

A: The answer is found in step-2

Q: In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD.If EF = 47…

A: If ABC is a triangle with BC as a base and let EF be  mid segment of triangle ABC, then  EF is half…

Q: Quadrilateral WXYZ is an isosceles trapezoid, WY = 7v, and XZ = 4v + 9. What is the value of v? W

A: The diagonals of the isosceles trapezoid are equal.

Q: If the sides of a triangle are 3, 7, and x, which of the following best describes x? A) 4 4

A:

Q: In the right triangle CDE, m∠ D =34°and the right angle is at vertex E. Find the measure of ∠

A:

Q: In a ABC shown below, side AC is extended to point D with mZ DAB= (180 – 3x) °, m ZB=(6x – 40) °,…

A: Given: m< DAB= (180-3x), m < B = (6x-40) m<C = (x+20)

Q: In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD.If EF =…

A:

Q: D Suppose that mZA = mZD. Which other fact would guarantee that the triangles are SIMILAR? CB 是 AB…

A: Two triangles are similar if corresponding sides are proportional and angles are equal  We can use…

Q: Find the of triangle ABC given A = 110°, C = 32°, and c 240 cm. %3D %3D

A: By using the property, sum of all the interior angles of a triangle is 180° we get, ∠B=38°

Q: In the diagram below of triangle GHJ, K is a midpoint of GH and L is a midpoint of HJ. If KL = 43 –…

A: Given : KL = 43-4xGJ = 9x-50 K is the midpoint of GH L is the midpoint of HJ

Q: What type of triangle is ABC A 2x +28 /x- 7 X + 15 C

A:

Q: The leg of a right triangle is 10in and the hypotenuse is 26in. What is the area of the triangle ?

A:

Q: The perimeter of triangle ABC is 40 cm. The length of segment BZ is 8 cm and the length of segment…

A:

Q: AMKL is an isosceles triangle with MK = ML . If MK = 7x – 15, KL = 4x - 5, and ML = 10x - 42, findx…

A:

Q: 3. Solve for triangle ABC, given that C = 135°, a = 12 units and b = 15 units. %3D

A: We have to find side and angle

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 one of the sides of a right triangle has a distance of 18 units, what are the possibilities for…

A: According to Pythagoras theorem, H2=B2+P2 Where H is hypotenuse , B is base and P is perpendicular…

Q: 1) In triangle ABC, m < A = 3y - 10, m < B = y + 40, and m C = < 2y + 48. What type of triangle is…

A:

Q: In trapezoid ABCD with median EF, DC= x + 2, AB= 3x – 6 and EF=20. Find the value of x.

A: Given data: The first given length is DC=x+2. The second given length is AB=3x-6. The third given…

Q: Find vahues for b such that the triangle has no solutions. A 24%, a= 5

A:

Q: In circle D, find x and mCBA 4x+8 A D Зх-19 В A x = 27, mCBA = 62 x = 27, mCBA = 116 C x = 23, mCBA…

A:

Q: In the diagram below of triangle BC'D, E is a midpoint of BC and F is a midpoint of CD. If EF = 8x –…

A:

Q: In this triangle, mZQ = (5x – 2) ° and m/R = (96 – 3x) °. %3D What is the measure of ZP? m/P-

A:

Q: In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint of UV.If W X = 10 –…

A: To find: The measure of WX. Given: The measures are WX=10-2x and TV=21-5x . Concept used: Mid point…

Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

A:

Q: In the diagram below of triangle IJK, L is the midpoint of I K and M is the midpoint of JK. If mZKIJ…

A:

Q: In the diagram below of triangle MNO, P is the midpoint of MO and Q is the midpoint of NO. If PQ =…

A:

Q: Quadrilateral CDEF is an isosceles trapezoid, CE = 8z - 80, and DF = 4z - 28. What is the value of…

A:

Q: 2. The following diagram shows a triangle ABC, where BC = 5 cm, B = 60°, Ĉ = 40°. Calculate AB to…

A: The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles .…

Q: 1.16. Which is the approximate perimeter of triangle PQR? R 2 -2 10

A: The given graph is: We have to find the perimeter of the triangle PQR.

Q: Can a triangle have the following side lengths and perimeter: AB = 2x +7, BC = x² - x, CA = 3x, and…

A:

Q: In the diagram below of triangle JKL, M is the midpoint of JL and N is the midpoint of KL. If mZLJ K…

A: Since M is the midpoint of LJ and N is the midpoint of LK.

Q: Graph the cardioid r a(1+ sino), a < 0?

A: The cardioid is given by, r=a(1+sinθ) and a&lt;0 Now as a less than than 0, a will be negative:so…

Q: A D M. N E F В C In the above quadrilateral ABCD, AD || EF || BC and . |BM| =4, |AD| = 6, |BC| = 9…

A: Given: AD¯∥EF¯∥BC¯AE¯=2EB¯ , BM¯=4, AD¯=6, BC¯=9 In △ABD, by BPT theorem AEEB=DMMB⇒2EBEB=DM4DM=8…

Q: 6. In the diagram of right triangle ABC, BD intersects hypotenuse AC at D. If BD = 12 and AD = 16,…

A: Using hypotenuse theorem, value of x,y,z are evaluated.

Q: If a? + b2 = c2 - ab in the triangle ABC, then what is the value of m(C) =? O A) 30 O B) 60 O9 150 O…

A:

Q: In R2 , consider the following triangle - Show that the collision point of the triangle bisector is…

A: According to question given that a,b and c are the side of the triangle and X,Y and Z are the vertex…

Q: In the diagram below of triangle QRS,T is a midpoint of QR and U is a midpoint 80 – 8x, and QS = 104…

A: Explanation of the answer is as follows

Q: nd the length of the hypotenuse of a right triangle if the lengths of the other two sid B

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

Q: AABC - AXYZ X А 12 21 C. B Z Y

A:

Q: You cut a rope into two pieces. With one piece, you make an equilateral triangle, and with the…

A: Let the total length of the rope is 20 m. Let the length cut for the square be x. Therefore, the…

Q: If a = 130 inches, b = 62 inches, and C = 60°, find c.

A: We have, a = 130 inchesb = 62 inchesC = 60° To evaluate: The value of side length c

Q: In the accompanying diagram of trapezoid ABCD, AB = 26, BC = 10, CD = 18, CB 1 AB, and altitude DE…

A:

Q: If a triangle has lengths of 27m and 11m, check all the possible lengths for the third side. 39m 20m…

A: Given Triangle has length 27m and 11m we have to determine the length of third side

Q: In the diagram below of triangle PQR, S is the midpoint of bar(PR) and T is the midpoint of bar…

A:

Q: 2) Select all true options about the triangle below. (L2) 600 12 cm X= 4/3 у-24 X-6 y=8v3

A:

Q: If CF = 3y - 48 and EF = y, find the value of y in rectangle BCDE. %3D C E y = Submit B,

A:

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

A: We have to find side

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.