In Figure 4.36, AB || DC and AD = BC. a) Find the measures of the angles of ABCD if mZA = 12x + 30 and mZB = 10x + 46. b) Find the length of each diagonal (not shown) if it is known that AC = 2y – 5 and BD = 19 – y. Figure 4.36

Q: 3. Given two points A(-3, 4, 5) and B(2,45°, 60°), determine RBA. Express your answer in CCS.

A: Given points are A(-3,4,5) and B(2,45,60) To find : R→BA

Q: < - 5 List the sides from longest to shortest in the following triangle M A 27° Α) ΜΑ, ΜΤ, ΤΑ (3)…

A: Given: ∠A = 27° ∠M = 82° The sum of all angles of a triangle is 180°. ∠T = 180° - (27° + 82°)    =…

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A: We have to find which spotlight is closer to Roberta and by how much.

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Q: 3. In quadrilateral LMNO, the points G, H, I, and J are midpoints. LN = 28 cm and MO = 16 cm. a.…

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Q: solve mutliple choice with best answer explaining why

A: ques. Increasing but levelling off - option 2 (As slope first increases and then decreases)ques.…

Q: 6. 10

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Q: in the right triangle which of the relations is true: a a) c? = a? + b? c) c? = b (a + b) b) c? = a…

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Q: 4. If ABCD is a parallelogram, find mZD. B А. 6° В. 53° С. 127° (9x – 1)° (13х - 25)° A D D. 141°

A: Opposite angles of a parallelogram are equal. And adjacent angles measure 180 when added.

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

Q: Find the angle between the If À =2i -10j - ik and ÀxB B = 2Á +2j+ k , CẦXB) Ã

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Q: Ex. 1: Šketch each angle in standard position and label the quadrant it is in. a) 140° b) 240° c) –…

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Q: Each figure shows a triangle with one of its angle bisectors. 1) MZSUT= 34°. Find mz1. 2) Find mzSQR…

A: Given:  1. m∠SUT=34° to find m∠1 2. m∠2=13° to find m∠SQR Note: As per our guidelines we are allowed…

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A: Parallel lines  Two or more than two lines are parallel, if the shortest distance between them are…

Q: Find the remaining sides of a 30° - 60°- 90° triangle if the longest side is 10. 3 3/3 4, 4/3 O 3,…

A: Given that The longest side is 10. To find The remaining sides of a 30°-60°-90° triangle

Q: 4. ABCD is a kite and AC is its line of symmetry. Angle B and D are 90°, AB = 36cm and BC = 16cm.…

A: Pythagoras theorem h^2=A^2+B^2

Q: 3) Use the law of cosines to solve for angle C in the triangle with a = 12.7, 6 = 6.12, and c= 15.2.…

A: Given data :a=12.7b=6.12c=15.2

Q: 7) In the given diagram lines P and L are parallel, find the value of x. X = 110 30°

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Q: . Determine if AABC is a right-angled triangle, given A(1, 6, −2), B(2, 5, 3), and C(5, 3, 2).

A: Find the squares of all the sides of the triangle and then observe them

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Q: 17. Consider points A(2,3,-4), B(0,1,2), and C(-1,2,0). a. Find the point D so that ABCD will be a…

A: (a) Let the fourth point be (a,b,c) In a parallelogram diagonals bisect each other ∴ Midpoint of…