14 m 120 Sm B. Use the cosine rule to show that a satisfies the equation a2 + 5a - 119 =0 Hence or otherwise, find (in any order): (a) the length of BC (b) angle CAB (c) the area of triangle ABC

Q: Find the quotient of z, & z2, leave answer in trigonometric form: z1 = 2 – 3i & z2 =1– V3i

A: Here, the given complex numbers are: z1=2-3i & z2=1-3i

Q: △ABC is an isosceles triangle. AB = BC. If AB=2x+4, BC=x+8 and AC=5x−2. Find the value of x?

A: Given data, △ABC is an iscosceles triangle,  AB = BC AB = 2x + 4 BC = x + 8 AC = 5x - 2

Q: Let a = ci + jand b = 9i + 12j. Find c so that the angle petween a and b is=. Round your answers to…

A:

Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: Let a = ci + j and b = 12i + 16j. Find c so that the angle between a and bis- Round your answers to…

A:

Q: Consider a right isosceles triangle A cuts [AC] in D. 1) Calculate the sides of the triangl 2)…

A: To calculate- sides of triangle BAD and area of triangle BDC.

Q: 7.In the following figure, (LF) is parallel fto BC, prove that the triangle FHC is isosceles A F L H

A: It is given that LF is parallel to BC. And ∠AFL and ∠LFH are equal (given )

Q: In the diagram, YW bisects ZXYZ. Find M2XYZ in degrees.

A: Given,   In the diagram, YW→ bisects ∠XYZ.

Q: 1. In the figure, AB Il CD and BC'I| AE. Let LABD measure (3x + 4)°, LBCD measure (6x - 8)° , and…

A:

Q: 6) B is the midpoint of segment AC. AB 10x-1 and BC = 5x+ 14. Find BC. I

A:

Q: 2B + 2C = 4, show In the triangle ABC, If cosec A + that the triangle is equilateral. COSEC COsec

A: Let the side length for equilateral triangle be x. Calculate the height for the equilateral…

Q: +z axis 250 N B. *y axis 0. 20 kN m 1689 bf 1269 +x axis spunod

A:

Q: D P• 1. Secants AC and CD intersect OP at B and E as shown. If AC = 16, CB = 6, and CE = 4, find CD.…

A:

Q: Solve for x if AT is an angle bisector. B. (5x+7 (3x+23) A Segments in AS

A: We have to find x

Q: B- Find the angle (in radian) between the planes 2x + 2y-z 3 and x + 2y +z 2.

A: The planes 2x+2y-z=3 and x+2y+z=2

Q: 54° D I 54° E SSs SAS O AA none of the above; the triangles cannot be proven similar

A: From the given figure , find out which rule explains the triangles are similar

Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to…

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: In APQR, r = 65 cm, q = 82 cm and ZQ=25°. Find all possible values of ZR, to the nearest degree.

A: We need to find values of r.

Q: В C A ZBAC = 40° Required : 1. Measure of angle XZY ZABC = 85° AB = 8 units 2. When YZ =4 units,…

A: Please find attachment for the details solution

Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is=. Round your answers to…

A:

Q: A fisherman who is fishing 70 ft directly out from a visible tree stump near the shore wants to…

A: From the triangle we see that: AC=70 ft is adjacent to angle A. and AB=hypotenuse.

Q: In APQR, sin P = , sin Q = , and p = 15. Find the side length q. %3D

A:

Q: Use the side-splitter theorem to solve for a in the triangle below. 10 6. T0 Answer: Submit Answer…

A:

Q: sult. 1. A(5, 8), where A (b, h) =}bh (A computes the area of a triangle with base b and height h.)

A: Put b=5, h=8

Q: Q.5 A b H. a B. Use Pythagoras Theorem on triangles ACH and BCH where, AAC = 90°. %3D Prove that a2…

A: Given  The triangle ACH and BCH are right angle triangle .

Q: Consider the figure below. 5x +6 4у — 4x 50 R T. 21 Part A: If PQ = TS and PQ I TS, which triangle…

A: Given : PQ≅TSPQ∥TS

Q: If EI = c + 19 and GI = 10c - 89, find EI in rectangle EFGH. %3D %3D

A:

Q: 22. In triangle ABC below, D Is the midpoint of BC. 83 B. D. Which of the following is true? A. AB…

A:

Q: 11 40° 12 For the triangle above, find the length of side x using the Law of Cosines. Round answer…

A:

Q: Consider a right triangle with a side length of x opposite angle A, a side length y opposite angle…

A:

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and bis- Round your answers to…

A: We have to the value of c

Q: d is the midpoint of ac cd= 2x+5 bc= x+28 ac is congruent to bc by solving for x find ac

A: Congruent sides means , sides having same length.

Q: In the right triangle shown a = 17 cm and c 50 cm. Define a and c as variables, and then: 9. a a)…

A: Given a=17 and c=50 cmWe know pythagorean theorem is…

Q: 1. Pablo has drawn Parallelogram ABCD and its diagonals, AC and BD. Using Side-Side-Side, he has…

A:

Q: Let a = ci + jand b = 20i + 21j. Find c so that the angle between a and bis Round your answers to…

A:

Q: In the figure below, QR = SR and PR =TR. Q S R P Based only on the given information, which theorem…

A:

Q: Let a = ci + jand b = 5i + 12j. Find c so that the angle between a and b is- %3D Round your answers…

A:

Q: 1. In the figure, AB || CD and BC II AE. Let ZABD measure (3x + 4)° , LBCD measure (6x - 8)° , and…

A:

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: For AABC, a = 18, b = 6, and %3D %3D mZA = 28°. Find mzB to the nearest 7. %3D whole degree.

A: Using sine rule.

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to…

A:

Q: A 2. Under the Angle Addition Postulate, which equation would be valid? G 60°\120° E F MZDEG x MZGEF…

A: We will find the equation which is valid for the angle addition postulates.

Q: Given z = 6 cis 330°, find z3 using De Moivre's Theorem. Write the answer in rectangular form.…

A:

Q: In the diagram below of right triangle ABC, altitue CD is drawn to hypotenuse AB. 32 If AD= 3 annd…

A:

Q: In the figure below, PQ = RQ and PS = RS. Q S R Based only on the given information, which theorem…

A: Given figure,  And PQ ≅ QR and PS ≅ RS To prove ∆PQS and ∆QSR are similar.

Q: ABC is a right-angled triangle with the right at B. The altitude BD touch AC at D. Prove that BD2…

A: Use the similar triangles properties and equate the ratio of corresponding sides.

Q: For the 30°-60°-90° triangle shown, suppose that XY = 2a. 30° 60° Find the following. (a) XZ (b) YZ

A: To calculate XZ, In given triangle, cos60°=BaseHypotenus12=XZXY12=XZ2a…

Q: In right triangle ABC, m2C = 90°, CA OCB, and CA = V3. Determine the length of BA. %3D A 1 V3 2 O D…

A:

Q: Consider the triangle below. 30 10a Determine the value of a. a = Enter your next step here…

A: