In the equation 2sin2x + 3sinx + 1 = 0 where 0° < x <360° there are 3 solutions... The sum of those solutions is: a) 480 degrees b) 570 degrees c) 690 degrees d) 740 degrees e) 810 degrees

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: ABC and DEF are two triangles, DEF being the greater, which are so located that each pair of…

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Q: Answer the following questions. 1. If complementary angles has the sum of 90°, what is the sum of…

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

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A: A pair of opposite side is parallel and congruent.  According to guidelines we solve only first…

Q: The diagonals of square ABCD intersect at point E. If BE = 2x +1, and AC = 3(6x - 4), find BD. O 1 O…

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Q: In Circle O, is a diameter, is a secant, and  is a tangent. If the measure of arc DC is 3 less than…

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Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle. 34 ES 10

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Q: If GHJ is an equilateral triangle, GH=5x-13, HJ=11x-61,  and GJ=7x-29, find x and the measure of…

A: Equilateral triangle GHJ can be drawn asGH=5x-13HJ=11x-61GJ=7x-29

Q: Which is NOT equivalent to Euclid's 5th postulate? O a. Two parallel lines are equidistant. Ob.…

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Q: Suppose that (a) points A, B, and C are collinear and (b) AB > AC. Which point can you conclude…

A: (a) A, B and C are collinear⇒ A, B and C lie on a straight line

Q: In an artistic design by a contractor of the students’ centre in a university, four pillars were…

A: Given: In an artistic design, four pillars were erected to form two triangular figures with the…

Q: In the dlagram, DE Intersects AB and AC and is parallel to BC. C D. E А How can you prove that DB AD…

A: We can complete the gaps to prove the required statement as below.

Q: Suppose that points A, B, and C are collinear and AB>AC. Which point can you conclude cannot lie…

A: Given   (a) points A,B, and C are collinear and   (b) AB &gt; AC.

Q: 4)Prove that the triangles are similar. 12 A 12 18 FAABC~ADEF by SSS~ -AABC~AEDF by SSS~ -AABC~AFED…

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Q: A homeowner is building three steps leading to a deck, as modeled by the diagram below. All three…

A: As per bartleby guidelines only 1 question is answered, please upload the rest separately. It is…

Q: a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain be…

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Q: If two lines intersect and form a right angle, which of the following is TRUE? The two lines ______…

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Q: Show that the sum of the two perpendiculars drawn from any point in the base of an isosceles…

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Q: In the figure, transversal m intersects parallel lines į and k. Part B Based on the given figure, a…

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Q: A, D, ai Ical Bis between A and C. If AB = 36, BC = 5x - 9, and AC = 54, find x. %3D %3D

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Q: Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case…

A: Given  4y'' + y' = 8y

Q: factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: The dimensions of the lot is 120 ft by 160 ft. The area of the lawn and the area of the…

Q: 1. What are the parts of HL theorem? 1. It appears from the name of the HL Theorem that you actually…

A: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the…

Q: If any point D is taken on the base BC of an isosceles triangle ABC and DEF is drawn perpendicular…

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Q: 4. AB intersects CD at E. If the mLAEC is 8x- 15 and mLAED is 9x + 76, find all the angles.

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Q: A, B, and C are three points on a line. AC = 8, BC = 4, and AB = 12. Which point must be between the…

A: Given,           A, B, and C are three points on a line. AC=8, BC=4, and AB=12.

Q: A 9. If angles P and Q are complementary, which statement about the two angles is true? O ZP and 2Q…

A: the objective is to select the correct option

Q: Use the side-splitter theorem to solve for a in the triangle below. 12 11 77

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Q: 2) Determine the value of a so that A = 2i + aj + k and B = 4i – 2j - 2k are perpendicular.

A: This question is based on dot product application.

Q: 9. The diagonals of parallelogram PQRS intersect at X. If RX = a and RS = b, the following in terms…

A: Parallelogram and triangle law of vectors

Q: the following yotem by Methoel. Solve the Gauss - Elimineitien St, -272ナター 37, +2 12 +7,= 3 %3D 2,…

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Q: 42" 58 B 42 Q 40 58 58 RY Which two triangles are similar? O None of the triangles are similar. O…

A: The given triangles are ∆ABC, ∆PQR and ∆XYZ.

Q: In part (a), prove that h || k. In parts (b) and (c), solve for x given that q || p and s || r,…

A: topic - lines and angles

Q: In APOR, PRisestended through point R to point S, mLQRS = (7z + 8)°. mRPQ = (= + 12). and m/PQR =…

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Q: In ABCD, BD is extended through point D to point E, m/BCD = (2r - 1), mZCDE = (7x - 19)°, and MZDBC…

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Q: The three sides of a triangle are 5, x, and 8. Give all possible lengths x so that the triangle is…

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Q: In APQR, PR is extended through point R to point S, mZQRS = (7x + 8)°, mZRPQ = (x + 12)°, and mPQR=…

A: Given: In triangle PQR, PR is extended through point R to point S. Concept Used: Exterior angle…

Q: Use the side-splitter theorem to solve for a in the triangle below. 2 22

A: Given triangle is : To find the value of x

Q: In rhombus MATH, ST= 3x +3, and MS = 5x - 2. Find MT. * M S. H 'T

A: In a Rhombus MATH, ST=3x+3 and MS=5x-2Rhombus: Four sides are equal Diagonal bisects each other

Q: Use the side-splitter theorem to solve for a in the triangle below. 8 6.

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Q: 7. ASTU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x,…

A: Equilateral triangle

Q: Show that p = V2/1 - cos O in an isosceles triangle that has two sides of length p, an angle of 0…

A: This question is based on application of Cosine rule.

Q: In Right Triangle QPR, QP≅ QR. In Right Triangle STV, TS≅SV. If PR≅TV,⁢ which statement about T⁢S…

A: given data  two triangle  QPR  STV  side are  QP = QR  TS =SV what about TS and PQ

Q: 3. Solve the given line ar cystem by back cub ctitution. 2x2 143 = 2 「メ a. %3D 1人 = -5

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Q: 1. Prove that A(-3; 2), B(1; -6) and C(1; 2) are the vertices of a right-angled triangle a. By…

A: As per bartleby answering guidelines, we are supposed to answer only one question at a time. In case…

Q: If AB = i + 4j – 2k and B is the point (5, 1, 3), find A. -

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Q: 3. A circle of radius 987.03ft centered at point A, intersects another circle of radius 1179.54 ft…

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Q: On the sides of a triangle ABC, squares ABDE, ACFG, BCJK are constructed externally to it. BF, AJ,…

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