8. The measures of the three angles of a triangle are x°, y°, and z°. Ifx+y 108 and y+z 130, what is the value of y? HINT: Solve the first equation for x, then solve the second equation for z. E = 180) and solve for y. A 22 B 50 C 58 65

Q: B 31° X = 3 C

A:

Q: The ratio of the angles in a triangle is 3:10:7. What is the measure of the smallest angle? You MUST…

A: Triangle: It is a three sided polygon. The angle sum property of a triangle states that the sum of…

Q: 14 10.5 4. 8.

A:

Q: Find the value of x and mZV if ABCD~TUVW. A 6. T. 15 U 700 D W 23 V The value of x is The measure of…

A:

Q: 3) In which picture below would you use side splitter and in which would you use similar triangles…

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Q: 10 Solve for the measure of angle R R (14x – 4)° T U U (5x - 6)°

A: Given:

Q: 12. What is the relationship between the two angles? Find the measure of ZBEF. A+ (2x + 60)° -B…

A:

Q: Determine the number of triangles with the given parts. If​ possible, solve each triangle.…

A: Here we have, α=44.7°, a=8.3 and b=10.2

Q: Use the Pythagorean Theorem to solve for the missing side. a2 + b? = c? 9. 10 8. 12 O O O O

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Q: 2. Solve the triangle given below α 5 B Y B C Based on the length of the sides, which of the unknown…

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Q: What is the value for x for the two triangles below that would make the two triangles similar? 16 12…

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Q: 3. Use the diagram to answer the questions. A C a. Which angle is the exterior angle? b. Which…

A: a.)  Exterior Angle :- The Exterior Angle is the angle between any side of a shape , and a line…

Q: 1. Give another name for 2. B 2 E 3 2. Name the sides of 2CBE.

A: Given , figure

Q: 7. Solve for the missing sides using 30-60-90 triangle ratios. а. b. 60 22 24 C. 60 9,

A: Since you have asked multiple questions, we will solve the first three subparts for you. If you want…

Q: 19) ABC A'B'C'. Find the measures of the missing angles and the lengths of the missing sides. A' A y…

A: Given: △ABC≅△A'B'C' Also, in △ABC, AB=3 , ∠ACB=48∘ and ∠ABC=90∘ ⇒∠BAC=180-90-48 (using angle sum…

Q: 3. In the parallelogram EFGH, the measure of angle G is 2x – 10 and the measure of angle E is 4(x –…

A:

Q: If angle ABD measures 100°, find the value of x in the following diagram: (4x+2) (3x-7)° 15 38 72…

A: Here given that angle ABD is 1000. as shown in figure.Angle ABC = (4x+2)0   Angle CBD = (3x-7)0

Q: 15. The measure of ZM is seven degrees less than the measure of ZN. If the sum of the measures of…

A:

Q: The quadrilateral below is divided into two triangles by TU, with RT = ST. S 4. 42 T. Which of the…

A: Cosine law: c2=a2+b2-2abcos(θ) , where a,b,c are measure of sides of a triangle and θ is measure of…

Q: In parallelogram EFGH, measurement of angle G is 2x - 10 while the measurement of angle E = 4 (x-20)…

A: Given EFGH is a parallelogram in which angle G is 2x-10 and angle E is 4x-20+10. To find the…

Q: *The length of one of the sides of a triangle is 1 m, and the measures of the adjacent angles are…

A:

Q: The length of C in the triangle below equals: V3 C = Select one: a. 13 b. 1 C. 5

A: The length of c in the triangle is computed as follows, The given graph is right triangle. The…

Q: 14. If the angle is 3 times bigger than its supplement, what is the difference between these two…

A:

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: Solve the triangle with the given parts. a=23.6m, b=12.8, c= 35.7 What is the degree measure of…

A:

Q: In the figure below, the distance from A to D is y, the distance from D to C is x, and the distance…

A: Consider the figure

Q: 23. x сm 98° 7.2 cm 6.1 cm 4 сm, /B 36° 5.5 cm E 36° D у ст Knowing that triangles ACD and AEB are…

A:

Q: 2. Given the indicated parts of the triangle ABC with y = 90°, find the values of the remaining…

A: Sine rule:asin α = bsin β = csin γCosine rule:a2 = b2 + c2 - 2bccos(α)             or…

Q: 2) The circumference of a circle is 407. Its area is 3) The sum of the measures of the interior…

A:

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: When the perimeter of an equilateral triangle is doubled , the result is 24. The length of a side of…

A: When the perimeter of an equilateral triangle is doubled, the result is 24.To find the length of a…

Q: In triangle ABC where B = 43°15', a = 13, C = 90º, find the measurement of side b and c,…

A:

Q: The measure of Angle P is twice the measure of Angle Q in the trapezoid below. 94 38 R. What is the…

A: to find measure of ∠Q in given figure

Q: What is the length of side x and y?" 31 20 10 13.5

A: We calculate the value of 'x' and 'y' by using Pythagoras theorem.

Q: Solve for the unknown sides of the given triangle. B b 3 Additional Materials C = 30°

A: Apply the trigonometric ratio

Q: The ratio of angle measures of AABC is a : B:y= 3: 2 : 13. Find the length of the shortest side if a…

A: To find the length of shortest side.

Q: B. (2x + 7)2 33 Audio Recording Directions

A:

Q: The measure of an angle is 660°. If the coordinates of the terminal side on the unit circle is…

A: Given that the measure of an angle is 660° and the coordinates of the terminal side on the unit…

Q: 2. The measure of angle A in an equilateral triangle is 5x + 5. Solve for x. A. x = 11 B. x = 35 A'…

A: Given,          The measure of angle A in an equilateral triangle is 5x+5.

Q: 2. Are the two triangles similar? Justify your answer. 12 30° 21 30 VY 14

A: We are asked to find the triangles are similar

Q: 26. In the figure below, 2OLN and ZPLR are vertical angles. M N 60° 102° R Select values to complete…

A:

Q: Triangle DEF has side lengths e= 9 and f= 13. If the measure of angle D is 41°, what is the length…

A: The side lengths of the triangle DEF are : e = 9f = 13 and ∠D = 41° To evaluate : The value of the…

Q: The measures of two angles are (5x + 24) and (9x - 17)". What is the value of x if these angles are…

A:

Q: B C What type of special angle pair are angles ACB and BCD? What will be the sum of the measures of…

A: since you have asked  multiple questions , as per the guidelines we will solve the first question…

Q: 1 Consider the two triangles shown. A 55° 75° B E 50° If triangle ABC is similar to triangle FED,…

A: Given triangle ABC is similar to triangle FED.

Q: The sum of the interior angles of the pentagon is 540°, the measure of angle R is 100°, and Q = LS.…

A: Here we have Pentagon PQRST,

Q: 3. Assume a is opposite side a, B is opposite side b, and y is opposite side c. Solve the triangle…

A:

Q: A framework is formed square based right pyramid made of copper wire. The length of each side of the…

A: This question is based on use of Pythagoras theorem.