On the line segment below, the ratio of lengths AB to BC is 1:4. What is the ratio of AB to AC? В F. 1:5 G. 1:4 Н. 1:3 J. 5:1 K. Cannot be determined from the given information

Q: In ADEF, the measure of ZF=90°, DF = 55, FE = 48, and ED = 73. What ratio represents the tangent of…

A: NOTE: Refresh your page if you can't see any equations. . here we have F=90 DF=55 FE=48 ED=73

Q: Given that the two triangles are similar. Use the scale factor to 21 N T determine the missing…

A: We can find the answer using the similarity of triangle principal as below

Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of…

A: Solution:the points L,M,N, & O all lie on the sameline sement.the ratio of LM : MN : NO = 6 : 1…

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: Consider the following measures of the segments shown in the diagram. A AD = 5 cm AE = 12 cm D AB =…

A: Consider the given figure. AD=5 cmAE=12 cmAB=6 cm We have to find the length of the segment AC Use…

Q: 5. Give the corresponding formula for the area of a sector when the angle is measured in degrees.

A:

Q: Given DC and DB are tangent to OA. Let DC = 56 and AC = 18. What i the length of DB? "diagram is not…

A: Given data is : DC¯ and  DB¯ are tangent. DC = 56 units and AC = 18 units The length of the two…

Q: 2 D Segments AB and BC are both tangent to circle D. If ZADC has a measure of 132°, find mZABC.

A:

Q: An isosceles triangle has an area of 24 cm2, and the angle between the two equal sides is 5π/6. Find…

A: Given that ,An isosceles triangle has an area of 24 cm2 and the angle betweenthe two equal sides…

Q: In APQR, the measure of ZR=90°, RQ = 5, PR = 12, and QP = 13. What ratio represents the secant of…

A:

Q: Consider the following measures of the segments shown in the diagram. 10 B 15 CE = 20 cm D AB= 15 cm…

A: Given: CE = 20 cm, AB = 15 cm, CB = 10 cm, CD = x = ?

Q: In AJKL, the measure of ZL=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of…

A:

Q: A map has a scale of 2 cm : 6 mi. If Bedford and French Lick are 10 cm apart on the map, then how…

A: A map has a scale of 2 cm : 6 miles

Q: AB is tangent to 0o. If AO = 24 and BC = 50, what is AB? The diagram is not to scale. B A

A: To find: The length of AB. Concept used: Pythagorean theorem: h2=p2+b2 Here, h is hypotenuse, p is…

Q: Suppose that the point (x, y) is in the indicated quadrant. Decide whether the given ratio is…

A:

Q: 31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to…

A:

Q: Find the length to three significant digits of the arc intercepted by a central angle 0 in a circle…

A: Given that, Radius of circle = 14.3 in. (theta) = 198° So, the arc length intercepted by the central…

Q: 1. AB is tangent to 0O. If AO = 32 and BC= 98, what is AB? The diagram is not drawn to scale. B O…

A: Given query is to find the value of AB.

Q: Consider the following measures of the segments shown in the diagram. AC = 2 cm CD = 6 cm (Figure…

A: Find the solution below

Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM…

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: Given A(6,3) has been dilated about the origin to A'(30,15). What scale factor was used?

A: Dilation factor = OA'/OA OA =(6^2+3^2)^0.5 OA'=(30^2+15^2)^0.5        =5(6^2+3^2)^0.5

Q: In AABC, the measure of ZB = 90°, AC = 50, AB = 48, and BC = 14. Which ratio represents the tangent…

A: Please see the explanation below

Q: In AMNO, the measure of ZO=90°, ON = 16, NM = 65, and MO = 63. What ratio represents the cotangent…

A: By using cotangent definition, we calculate the required cotangent of angle 'M'.

Q: 1. A circle is tangent to the quarter circle and to two sides of the square as shown below. If the…

A:

Q: Two secants AC and AE are drawn from an external point to the circle. If the exterior segments have…

A: our objective is to find the ratio

Q: The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU…

A:

Q: The following triangles are not similar. Determine the ratio between AMCD and AOLN. How could you…

A: Given: Two △MCD and △OLN as To find: a)The ratio between △MCD and △OLN  b) The measurement of △MCD…

Q: In ΔPQR, the measure of ∠R=90°, RQ = 36, PR = 77, and QP = 85. What ratio represents the tangent of…

A:

Q: Given the endpoints of the line segment MN, M (-4, 6) and N (10, -1), find the coordinate of point P…

A: Let's find the coordinates of P as shown below

Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

A:

Q: If the ratio of 2x to 5y is 3 to 4, what is to ratio of x to y?

A: The answer is found in step-2

Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 15 R Based on this information,…

A: To find: The ratio is proportional to tan H. Concept used: If two triangles are similar then the…

Q: 20. HG is tangent to circle L. If KG = 6 and the radius of the circle is 5, find HG. 20. の* Cン25+30…

A:

Q: A tabla of value: for , 2. arc o'is give. g(x) f (x) 9'(x) (a) Ir nix) = gx, find SY1. %3! (b) if…

A:

Q: In the diagram below of triangle KLM, N is a midpoint of KL and Pis a midpoint of LM. If N P: = x +…

A:

Q: In a circle whose radius has length 24 m, the length of an arc is 28 t m. What is the ree measure of…

A:

Q: Draw a line AB of length 120 mm and by construction obtain a point P dividing AB internally in the…

A: SOLUTION-

Q: Given the points L(-2,5) and M(2, –3), point Q (,-?) partitions LM in the ratio A 1:4 В 1:5 4:1 D…

A: Solution is given below:

Q: 1. Use similar triangles to find the lengths labeled x, y, and z. Show all your work! B 15 8 A D AC…

A: In this question we have to find the value of x, y and z.

Q: 36. If the measure of arc ST is 105° and MZRQT = 90°,find the measure of arc NR. **Image not drawn…

A: Measure of arc

Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM…

A: We have to find NO

Q: AB is tangent to 00. If AO = 12 and BC = 25, what is AB? The diagram is not to scale. B O35 O 37 O…

A:

Q: An isosceles triangle has an area of 29 cm², and the angle between the two equal sides is 5x/6. Find…

A:

Q: Consider the diagram below. 17 cm. 15 ст. 8ст. A If LB is the reference angle, then which of the…

A: Given triangle is right angled triangle. Just rotate the figure for better understanding and find…

Q: The points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD…

A: Topic- ratio and proportion

Q: For numbers 13 and 14, refer to figure C. 13. If RK/ MA, which of the following pairs of ratios form…

A:

Q: In the following diagram DE || FG and KLI FG. What is the measure of Zx? Angles are not necessarily…

A:

Q: The endpoints of MP are M(1,4) and P(16,14). If A partitions MP in a ratio of MA: AP = 2: 1, which…

A: Our Aim is to find the coordinates of A.

Q: If the measure of arc CB is Tunits, what is the measure of ZC AB C 4 B 4 A

A: We know, the formula θ=lrWhere,θ=central angle in radiansl=arc length (in radians)r=radius of circle…

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.