If A ABC S A DEF, and mZA = (x + 30)°, m2C = 45°, and mzD = %3D 80°, what is themZA? (Hint: Sketch the congruent triangles)

Q: Is A=41 degrees, angle BDC=58 degrees, AB=18 and DB equal 14, find x, then y using figure 9.

A:

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Figure :                             CB is the diameter;                              OB= 2 cm…

Q: ABC is an isosceles triangle, with AB = AC. A 13 cm C 9 cm [2]

A: Explanation of the answer is as follows

Q: In the diagram of right triangle ABC,CD intersects hypotenuse AB at D. If AD = 4 and DB = 6, which…

A: Given,   To evaluate AC if CD is perpendicular of AB

Q: If C is the midpoint of AB and AB = 41 m what is the length of AC? If needed, round to the nearest…

A: Topic :- Algebra

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

Q: Can you use the angle bisector theorem to solve for m2QSR? 66° Q R yes no

A: We have to use angle bisect theorem

Q: To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram. C.…

A: It is required to prove AB=XY.

Q: In ANOP, the measure of ZP=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ZN to the…

A: The given figure is-

Q: Use SSS to explain why the triangles in each pair are congruent. 2. AABD= ACDB B

A: To prove the both the triangle ABD and  triangle CDB are congruent. Given, AB=CD             AD= BC…

Q: Determine the method by which the triangles shown are congruent.

A: Here given graph as

Q: Ms. Ochabe had this parallelogram on the board and asked the class to determine the length of the…

A: The given parallelogram is:

Q: Which rule explains why these triangles are congruent? V. W

A: Find your answer below

Q: In parallelogram ABCD, find, to the nearest degree: a) mZA b) mZB A B 10-

A: Given a parallelogram ABCD. we have to find measure of A and B

Q: This problem refers to triangle ABC. If b = 4.1 m, c = 6.2 m, and A = 114°, find a. a%3D m

A: Let the triangle be ABC:

Q: In the diagram below, four pairs of triangles shown. Congruent corresponding parts are labeled in…

A: We have the following sets of triangle We have to find which of them are not congruent

Q: Suppose the two triangles shown below are congruent. If ∠∠B = 65 units and ∠∠C = 37 units what is…

A: The given figures are:

Q: T R S

A:

Q: In the diagram of A ABC below, AB= 10, BC = 14, and AC = 16. Find the perimeter of the triangle…

A:

Q: In the diagram below of triangle KLM, N is the midpoint of KM and O is the midpoint of LM . If mZMLK…

A: As we know that the line segment joining mid point of the two sides of a traingle is always parallel…

Q: If RS = 20, ST = 21, and RT = 29, is ARST a right triangle? Explain. %3D %3D

A: A triangle is right angle triangle if it obeys the Pythagoras theorem which says (Hypotenuse)²…

Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. If the length of diagonal AC is 12, what is the…

A: Using the given information, draw a rhombus and label it. In a rhombus, the diagonals are…

Q: 2.) Construct an angle whose measure is equal to the sum of LA and ZB.

A: An angle can be measured from a baseline and the angle that the other line makes with the baseline.…

Q: In the diagram, WWX and XYZ are congruent equilateral triangles, and ZVXY is 80°. What is the…

A:

Q: In the acconpanying diagram of A ABC, a right angle is at C, AB = 8, and AC = 4. Find BC. %3D A 12…

A: By the Pythagoras theorem, AB2=AC2+BC2

Q: Which type of triangle has sides of lengths a = 8, b = 10, and c = 14?

A: Given triangle has sides of lengths a = 8, b = 10, and c = 14

Q: 12. If AJKL is an equilateral triangle, JK = 13x + 5, KL = 17x - 19, and. JL = 8x + 35, find x and…

A:

Q: Find the remaining sides and angles of the triangle​ ABC; with right angle at C. A=31°​, a=11 B=?

A: To find the remaining sides and angles of the triangle​ ABC

Q: Determine whether the triangles are congruent by AA SSS , SAS , or not similar. Y W 8. T. 28 30…

A:

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE 64 –…

A:

Q: The diagram shows AABC inscribed in circle D. If m/CBD=44°, find mZBAC. ABCD is an isosceles…

A: ∆BCD is an isosceles triangle. m∠CBD=44°

Q: In right triangle ABC, m2 BÁC = 90, AB=5, and BC = 8. What is mZABC? Round your answer to the…

A: given that m∠BAC=90°, AB=5 and BC=8find m∠ABCby using pythagorean theorem we can find m∠ABC

Q: Suppose that m∠BCA=70∘, and that x=31 cm and y=51 cm. What is the degree measure of ∠ABC?

A:

Q: In the accompanying diagram of a right triangle ACD, B lies on AC, BD is drawn such that m2CDB = 27,…

A: Solve the following

Q: In the triangle below, suppose that m ZJ= (5x-8)°, m LK=(2x+4)°, and m LL=x°. Find the degree…

A:

Q: In AXYZ, ZXYZ is trisected by YW and YV. With angle measures as shown, find mZZ. 63 95 V

A: Given: In ∆XYZ, ∠XYZ is trisected by YW and YV. m∠YXV=63° and m∠YWV=95° as shown in the figure.…

Q: For AWTE, WS is an angle bisector. ES = x, EW 70, TW = 55, and TE 100. %3D

A:

Q: in the △ABC, AB=10cm, ∠B=90°, and ∠C=60° is the length of BC to the nearest centimetre?

A:

Q: In parallelogram MNPQ, mZM = (6x + 10)° and mZN = (5aæ + 10.5). Find the measure of angle Q.

A: Given, m∠M=6x+10°m∠N=5x+10.5°

Q: (3x + 1)° (2x – 1)° H J

A: Find all the angles

Q: Should everyone's triangle be congruent to yours? Why? 2. Triangle HTR if angle H=54°, HT= 7 cm and…

A:

Q: An angle is shown. A1 B. (15x)" (12x+12)° If ZAOB /COB, find the values below x%= MZCOB MZAOC =

A: The solution is :

Q: In right triangle SRT below, mZR = 90°, mZS = 30° and SR = 4 , what is the length of ST? R

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Q: The area of ΔPQR is 24. If p = 6 and q = 8, find the possible measure(s) of angle R.

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Q: Consider right triangle ABC with C = 90°. If b = 5 and c = 13, find a.

A:

Q: This problem refers to triangle ABC. If a = 18 yd, b = 19 yd, and c = 20 yd, find the larg

A: The largest side is c=20 yd So the largest angle will be opposite to c, that is C

Q: Why are these triangles congruent?

A: The triangles XYZ and XZW are given, we have to show that they are congruent.

Q: Determine the method by which the triangles shown are congruent. F.

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.