Triangle ABC is translated to create triangle DFG, as shown below. F 2y +12 cm 2(2y-3) cm 3(2x + 10) cm 12x + 12 cm G A In these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y.

Q: The hypotenuse of a 30°-60°-90° triangle has a length of 20 cm. Which could be the length of a leg…

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Q: A. Find the third side of each triangle. 1. b = 8, c = 10, mZA = 80° %3D %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2.Given is triangle ABC where A= 35°, C= 85° and b= 3. Find all the missing angle and sides of the…

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Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC= 20. Find the…

A: Area of triangle ACD = 90 cm^2

Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 3 and AC = 10. Find…

A: Given: BD=3AC=10∠A=30°area∆BCD=13area∆ABC Note that,…

Q: In the diagram below of triangle EFG, H is the midpoint of EG and I is the midpoint of FG. If HI =…

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Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC= 20. Find the…

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Q: ABC and ACD are triangles. B 20 cm A 35° 49° 16 cm Work out the size of angle x.

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Q: The triangles shown below are similar. Sove for x. A- 2x + 7 27 4x+1 45 %23 %23

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Q: (2) In the following triangle below, the degree measures of the three interior angles and two of the…

A: The exterior angle is the sum of two opposite interior angle The sum of angle of triangle is 180

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Q: Find the area of the triangle.   B=38°​, a=8.8​ft, c=3.6ft

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Q: In the diagram below, DE, DF, and EF are midsegments of A ABC. B The perimeter of quadrilateral ADEF…

A: Here, D, E and F are mid-points. So, use the theorem-Line joining mid-points is equal to half of the…

Q: (2) In the following triangle below, the degree measures of the three interior of the exterior…

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Q: Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.

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

Q: 123 4.5 22 -T 5x 8. 12 R

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Q: C' Find the measure of 4ACB for the congruent triangles АВС and A'B'C 32° B 27 37 16 79° A B' A'

A: Given: Triangles ABC and A'B'C' are congruent. To find: The measure of angle ACB.

Q: (2) In the following triangle below, the degree measures of the three interior angles and two of the…

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Q: In the diagram below of triangle EFG, H is the midpoint of EG and I is the midpoint of FG.If MZGFE =…

A: Meeasureof angle GFE = 45

Q: In the accompanying diagram of right triangle ABC, AB = 8 centimeters, and AC = 4 centimeters. 8. 4.…

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Q: The side of a triangle are 5 cm, 6 cm and 6 cm, respectively. what is the altitude of triangle if…

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Q: (2) In the following triangle below, the degree measures of the three interior angles and two of the…

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Q: Consider right triangle APQRbelow. Q 2.9 20 R. Which expressions represent the length of side PR? P.

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Q: M. 丰 K B 7, Which congruence statement correctly compares the two triangles shown? O A) ACBD = AKLM…

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Q: n the triangle ABC , AB  6 cm and BC  9cm. Given that the area of the triangle is 18cm2, find the…

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Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If mZHJF =…

A: We have to find measure of angle HJF.

Q: B с a b 11) In the above triangle, if A = 52.1°, C = 90°, and c = 27.6, find a and b (the length of…

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

Q: Can a triangle have the following side lengths and perimeter: AB = 2x +7, BC = x² - x, CA = 3x, and…

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Q: 7. Use the Pythagorean Theorem to find the missing side length in the right triangle A) V14 B) V13 3…

A: Our Aim is to find the missing side length in the right triangle given below:-

Q: 26. For the triangle ABC, we are given that A 48°, B 62°, and c = 35.0 finaltriSolveobliq2.gif b 480…

A: Given that

Q: .AC is a diagonal of rectangle ABCD below. If angle ACD is 30° and AC = 20 units, what is the area…

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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: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 3 and ẠC = 10. Find…

A: Given, The diagram of the triangle BD =3  and  AC = 10  ∠A = 30°   Area of∆BCD = 13×Area of ∆ABC  We…

Q: Calculate, the value of w in triangle WRK if r=40mm, angleR=45° and angleW=60°. Give answer in the…

A: In  ∆ABC,  Let, a is side opposite to angle A, b is side opposite to angle B, and  c is side…

Q: AWVU ~ ALMN 11x – 122 7. M 117 U 200 V W 195

A: The figure is given by

Q: Rectangle PQRS is shown with its diagonals, PR and What type of triangle is ASTR? QS. O right…

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Q: In the diagram below of triangle RST, U is the midpoint of RT and V is the midpoint of ST . IFUV =…

A: In a triangle RST, U is the midpoint of RT and V is the midpoint of ST.UV=29-3x and RS=-2+6xwe have…

Q: In the diagram below of triangle STU,V is a midpoint of ST and W is a midpoint of TU. If MZWVT = 90…

A: Given, V is midpoint of ST. W is midpoint of TU. According to given, VW || SU

Q: Determine the length of AY if ARAY is a 30°-60°-90° triangle and AR has a length of 24 centimeters.…

A: Apply tan 30. as show...

Q: Given triangle A ABC, we have that B = 110°,C= 40°, and b= 18 inches Find c, round to the nearest…

A: Consider the provided information, B=110°,C=40° and b=18inches Find the value of c. Apply the sine…

Q: (2) In the following triangle below, the degree measures of the three interior angles and two of the…

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Q: Are the two triangles similar? If so, by what similarity shortcut? D 21 49 S. U 31 73

A: For any two triangles to be similar (1) The corresponding angles of both the triangles should be…

Q: There are two triangles for which A = 30°, a = 7, and b = 10. %3D The larger one has C = and the…

A: Given that, A = 30°, a = 7, b = 10 We have sine rule: sinAa = sinBb = sinCc Therefore we get,…

Q: In AKLM, m <K=2x, m<L=x+30, m < M= 3x- 30. a) Find the measures of the three angles. b) What kind of…

A: Given, A ∆KLM  m&lt;K = 2x m&lt;L = x+30m&lt;M =3x-30  We have to find the measure of all the angles…

Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC= 20. Find the…

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

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Q: Using the two triangles shown below and the fact that m2C = -6x - 19, find the value of x. %3D 121 C…

A: In a triangle, sum of all angles is equal to 180°

Q: (2) In the following triangle below, the degree measures of the three interior angles and two of the…

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