3. If F, G. and H are the midpoints of the sides of AJKL, FG = 37. KL = 48, and GH = 30, find each measure. a) FH = b) JL =. c) KJ = d) FJ =

Q: Given that {, || l,, find the measures of angles a and b when 0 = 43°. a = b =

A: Given that l1∥12   and θ=43°To find :a,bSolution:θ=a           Alternate interior angle  a=43°

Q: 36. PQRS is an isosceles trapezoid. If ZTRS = 100°, ZT = 35°, and PS = TS, find the measures of the…

A: Properties of isosceles trapezoid:-  One blue+one red=1800 (they are supplementary) Blue angles are…

Q: 7. Given: C is the Midpoint of AD, <A <D Prove: Triangle ABC is congruent to Triangle CDA D B C E A

A:

Q: In rhombus EMRY, YR = 24 cm, MG = 11 cm, and m ZEYR = 122°. Give the requested angle measures and…

A:

Q: 1. Point Blies on line AC, &shown on the coordinate plane below. y B D A CD 32, what is the ratio BD…

A:

Q: Let AABC be a triangle with AB = 3, AC = 4, BC = 5. Determine the measure of the angle between the…

A: In the right angle triangle the circumcenter lies in the mid point of the hypotenuse. The…

Q: Given the following information, determine the number of triangles that would be possible. a) ZA=40°…

A: Topic = Triangles

Q: Are the two triangles (not drawn to scale) similar? If so, explain why they are. 41 13 770 160 40 36…

A: Apply the similarity property of the triangle. Apply some application of AAA.  If into triangle…

Q: If the quadrilateral is a parallelogram, find the missing measures. Given PQ = 24, PS = 19, PR = 42,…

A:

Q: Which triangles are congruent based on the markings in the given figure?

A: According to given figure in ∆ETS, ∆TEN, ∆NHT and ∆HNO ET=HN…

Q: In parallelogram GRAM, MZGRP = 31°, MZPAM = 38°, and mZGMA = 67°. Give the requested angle measures.…

A:

Q: Note: Exercises preceded by an asterisk are of a more challenging nature For Exercises 1 to 10, use…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the…

A: Given: in quadrilateral ABCD if AB=CD and BC=DA prove angle ACD and angle CAB are of same size

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD. Let M and N be the midpoints of DA and BC,…

A:

Q: List the angle measures of AQRS in order from smallest to largest. Assume that w is a positive…

A:

Q: Given that 30° is the measure of an exterior angle of a regular polygon, determine its number of…

A: Rr

Q: 16. In AJKL, If mZK is nine more than mLJ and mZL is 21 less than twice mLJ, find the measure of…

A: see below the answer and explanation

Q: A carpenter joins four boards of lengths 6 ft, 6 ft, 4 ft, and 4 ft, in that order, to form…

A: The given figure is as shown below :

Q: . Given that ZDAB and ZDCB are right angles and MZDBC = 42º, what is the measure of CAB? %3D D. B.

A: Given, ∠DBC=42° To find Arc CAB

Q: In cirde P, if mQR = 110', mRS = 94', and M2QRT = 27, find each measure. %3D %3D R a) MZQTR = 55 d)…

A: Here we have,

Q: In Exercises 19 to 21, let B be an acute angle of a right 13 Find 12 triangle for which sec B =

A:

Q: The circumcenter of AHJK is point P. Point A lies on HJ and AP 1 HJ. If AP = 7 in. and KP = 23.6…

A: PA | HI, PK = 23.6 in, AP = 7 in P IS CIRCUMFRANCE

Q: X 38V 38° W Y

A:

Q: 2.) Construct an angle whose measure is equal to the sum of LA and ZB.

A: An angle can be measured from a baseline and the angle that the other line makes with the baseline.…

Q: If YU = YV, ST = 16, mQS= 34', %3D %3D and mRT = 98°, find each measure. QR =

A:

Q: On the basis of the information given, determine the measures (in degrees) of the remaining angles…

A: given    m∠B=46°

Q: Given: DE = EC, Angles D and C are right angles Prove : <B E< A B E A.

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: A unit circle with center P is shown. In circde P, LJPK is a right angle, mZ HPJ = ;mZ JPK, and mZ…

A:

Q: What relationship, if any, exists between two angles a) with measures of 37° and 53°? b) with…

A: Answer (a): The given angles are: 37∘ and 53∘ The sum of these angles are as follows: 37∘+53∘=90∘…

Q: In the given figure, PQRS is a parallelogram, whose diagonals PR and SQ intersect at O. If OR = 7.5…

A: it is given that 'OR' =7.5 cm

Q: Given that AD and AB are congruent, and DC = BC, use a triangle congruence criterion to prove that…

A: Prove that Angels DAC and BAC are the same size

Q: 6.) Of the following side measures, which could represent the length of side AC in triangle ABC? 26…

A:

Q: P V R Q

A:

Q: Given a triangle GHF, what angle is included between sides HF and FG?

A: Naming of angles of any triangles are done according the sides constructing  the angle  IF sides a…

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: We have to find the angle

Q: Given that A GRA -A TRE answer the question below, E Match the corresponding sides and angles. Angel…

A:

Q: Construct a triangle with angles 312 and 123 equal to angles ABC and 1/2 ABC respectively. 1 A B-

A: Let &lt;ABC be theta degree.

Q: Given a triangle with interior angles a, 3, y, and opposite sides with lengths a, b, c respectively,…

A:

Q: In quadrilateral ABCD, the measure of exterior angle A is twice m ZB, 20 more than m ZC, and 40 more…

A:

Q: If PR bisects ZSRT and U is the midpoint of RT, classify each triangle by its angles and sides. 15.…

A: The triangles are drawn in the figure given in the problem. 15. △UQR The sides and angles of △UQR,…

Q: Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

A:

Q: If A = B = C = are the coordinates of a triangle, compute: A C length of AC length of AB B units…

A:

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: In △ABC, D is a  midpoint of AB¯ and E is a midpoint of BC¯ To evaluate : The value of m∠ACE if…

Q: In triangle QRS, T, U, and Bare midpoints. What are the lengths of TU , UB, and QR ? 30 T 50 B 40…

A:

Q: Draw an angle with the given measure in standard position. 415° to to to

A:

Q: 5) Find the measure of angle A in parallelogram ABCD below 17

A: Since image is not clear, so considering ∠B=77° As sum of adjacent angle of parallelogram is 180°.…

Q: In ARST, m LR = 2x + 10, m LS = 3x - 10, and m LT = 4x. a. Find the numerical measure of each angle.…

A: a. It is known that the sum of the measures of all the angles of a triangle is equal to 180 degrees.…

Q: in ABCD, lines BH is perpendicular to AD and line BG is perpendicular to CD. How are ABH and CBG…

A: Given problem:-

Q: Which of the following sets of lengths can represent the measures of the sides of a right triangle?

A:

Q: Find the measure of the numbered angles in each rhombus. 3 4, 136° m21= m22 = m23 = mZ4 =°

A:

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.