18. In triangle JKL, ZJ measures 25.8°, and Z K is a right angle. What is the measure of Z L?

Q: In the following diagram, HI is parallel to JK. What is the measure of Zx? Angles are not…

A: Given: HI∥JK ∠AHI=56∘∠IAH=66∘∠AKJ=x∘ The objective is to find ∠x.

Q: Which of the following best describes the triangle with the given measures? A. Acute equilateral…

A:

Q: r+ 90)X4

A:

Q: Solve for the missing 4 cm information, given that the two triangles are SIMILAR. y (If a decimal…

A: our objective is to find x and y.

Q: Arrange the angles of APQR from smallest to biggest. Given: PQ = 7.11, PR= 8.33, QR = 8.49

A: We know that, in any triangle, the smallest angle is always across from the shortest side and the…

Q: 1. Is triangle A BCD similar to triangle A LKJ? Justify your reasoning, (G.SRT. A.3) B 24 20 D 13 26…

A: Side ratio of both the triangle is equal so both are similar.

Q: # 3. If the distance between (a, ab) and (ab + a, ab + b) is 26 (b + 0), then what is the value(s)…

A: →Distance formula:   Let P(x1,y1) and Qx2,y2 be two points. Then distance between point P and Q is…

Q: 45. If m4R = 40° in circle O, what is m40? The figure is not drawn to scale.

A:

Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5)…

A:

Q: 4. Which sign explains the relationship between m≥1 and m²2 in the diagram? 17 m 1 2 23 m It is not…

A: We can answer the question as below,

Q: 1. In this diagram, name an angle that is IT a) supplementary to ZLQR b) supplementary to ZPQT d…

A: Supplementary  to an angle means sum of two angles is 180°(theorem 1) Complementary to an angle…

Q: 2. Determine the lengths of the missing sides using trigonometric ratios. a. b. 4 in. 60 2.5 in. ho…

A: The side opposite to the angle is taken as perpendicular during writing trigonometric ratios.…

Q: Find the measure of angle 3 in the given figure: l1 parallel to l 2, Angle 7 = (2x+10) ° and angle 2…

A: By the corresponding angle property parallel lines, we have  ∠7=∠3 So, ∠3=(2x+10)° By the Alternate…

Q: 4. In triangle ABC, ZA is a right angle and mzB = 45°. Find BC. I

A:

Q: 2. Construct a copy of the angle below. S T

A: Given: We have to construct a copy of the given angle.

Q: E D A

A: Sum of all the angles on one side of a straight line always equal to 180∘ Two angles whoose sum is…

Q: 16. Find, in degrees, the angle between a and b. 16) Given that a = 8, b 5 and a b 20 %3D Answer:

A:

Q: 16. In AJKL, If mZK is nine more than mLJ and mZL is 21 less than twice mLJ, find the measure of…

A: see below the answer and explanation

Q: Solve for the missing information, given that the two triangles are SIMILAR. /3 cm 3.2 cm 12 cm (If…

A:

Q: 1. Complete the missing information using circle O below. Central Angle Intercepted Are ZPOU ZPOQ…

A: Solution is given below:

Q: 27° 13.6 cm Which leg is adjacent to angle K? O JL LK IK

A:

Q: 2. The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A:

Q: II. Refer to the figure below in answering the following questions 1. What is tlhe mzd if mze =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given a right triangle ABC where angle C = 90° and tan A = 4.8 How 3.6 %3D long is side c?

A: Consider a right triangle ABC with angle C=90° and tanA=4.83.6. The objective of the problem is to…

Q: Consider the non-right triangle below. B у ст ZCAB A х ст Suppose that m/CAB= 61°, and that x = 35…

A: Given triangle

Q: 7. What is the measure of the arc intercepted by inscribed angle ZNMO if ZNMO = 85°? a. NO = 170° b.…

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: In right ARST, RS = ST in Figure 5.40. What are the measures of the angles of the triangle? If RT =…

A: Given: In a right triangle RST, RT=122 and RS=ST  as shown in the figure.

Q: 1. What Is the smallest positive degree angle measure equivalent to sin (0.391)? O 229° O 104° 23° O…

A: Smallest positive degree angle are in 1st quadrant for sin^-1(x) for 0<=x<=1.

Q: Find the measure of the bolded angle. 5x + 10 6x +1/ The measure of this angle is

A:

Q: Solve for the missing information, given that the two 12 cm triangles are SIMILAR. y 7 cm (If a…

A:

Q: 7. What is the measure of the arc intercepted by inscribed angle ZNMO if ZNMO = 60°? a. ÑO = 30° b.…

A: As per our guidelines we are supposed to answer only one question

Q: If y/z= 0.7,  what is the measure of alpha to the nearest degree?

A: Given Data: The ratio of y to z is: y/z=0.7 The given triangles area right angle triangles and a…

Q: 13. Find x, what is the measure of each amgle? (7x +8)° (5x +2)* (7x-1)° 14. Find x, wvhat is the…

A:

Q: Dctermine the number of triangles formed given condition.c. q=4 b= 10 LA =45°

A: We  have  to determine the number of traingles  possible with the given conditions.

Q: 8) Use the diagram to find the angle measure, given that MZBAE =130° %3D a) MZBAC b) MZCAD (3x- 10)…

A:

Q: Given a right triangle ABC where angle C = 90° and tan B = 3.6 How 4.8 %3D long is side c?

A: Given: ∠C=90° And tanB=3.64.8 We know that the trigonometric ratio: tanθ=PerpendicularBase Given…

Q: What is the measure of angle W if sec W = 4? How about the measure of O if sin O = √22?

A:

Q: 2. The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A: Observe the figure carefully

Q: What is the measure of Zx? Angles are not necessarily drawn to scale. 47° F G B

A:

Q: Given right triangle JKL shown below with JL = 73 and m/L = 31°, which of the following is closest…

A: Given : A right triangle ∆JKLwhere JL = 73 and m∠L = 31°

Q: In ARST, m LR = 2x + 10, m LS = 3x - 10, and m LT = 4x. a. Find the numerical measure of each angle.…

A: a. It is known that the sum of the measures of all the angles of a triangle is equal to 180 degrees.…

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

A:

Q: In ∆XYZ, XY=14, YZ=22, and XZ=28. What is the measure of angle Z to the nearest degree?

A:

Q: 7. In AJKL, L = 40°, ZK = 72°, and k = 24 cm. Determine the perimeter of the triangle to the nearest…

A: We can find the perimeter as below using sin law.

Q: In triangle XYZ, x = degree. 12.9cm, y = 6.4cm and z 8.3cm. Find angle Y to the nearest 12.9 cm 6.4…

A:

Q: The ray PQ is an angle bisector of ZRQS.If ZPQS is 11.5 degrees, find mRQS If the solution is not an…

A: Topic:- basic maths and angle bisector

Q: In isosceles trapezoid chle what is the value of c

A: Given:

Q: Here are 2 right triangles? Which ratios of side lengths are equal to tan(a)? y ur answer

A: Tan the ratio of opposite and adjacent

Q: If JK = 5.2, and KL=1.9, how much larger (in degrees) is the measure of angle L than the measure of…

A: Given a right angle triangle

Q: Consider right angle triangle LMN. L 8 M N. Which side is opposite ZMLN? 10

A: Consider right angle triangle LMN We have to find the opposite side of ∠MLN

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.