Question

A question and theorem states in the pictures.

In Theorem 56, if RS = 12, RT = 6, TS = 9,
find MR.
%3D
%3D
56
O PT – 44
Expand
Transcribed Image Text

In Theorem 56, if RS = 12, RT = 6, TS = 9, find MR. %3D %3D 56 O PT – 44

Theorem 56
The bisector of an exterior angle of a triangle divides the opposite
side externally into segments which have the same ratio as the
other two sides.
M·
S.
RM cRI
Ms TS
Given: ARST and TM the bisector of exterior angle RTP
Prove: RM : MS = RT : TS
%3D
Expand
Transcribed Image Text

Theorem 56 The bisector of an exterior angle of a triangle divides the opposite side externally into segments which have the same ratio as the other two sides. M· S. RM cRI Ms TS Given: ARST and TM the bisector of exterior angle RTP Prove: RM : MS = RT : TS %3D

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Geometry

Related Geometry Q&A

Find answers to questions asked by students like you.

Q: The base of  a parallelogram is 6 times that of the height. The area of the parallelogram is 2400. F...

A: Let,

Q: (1) Let a and b denote two vectors. Try to prove (a x b)² = a²b² – (a · b)² (2) For the triangle ABC...

A: Click to see the answer

Q: A construction worker needs to pour a rectangular slab 31 ft long, 18 ft wide, and 8 in. thick. How ...

A: Given,Length = 31 ftWidth = 18 ft

Q: Question is attached!

A: The given triangle ABC is

Q: A Red Cross helicopter takes off and flies 75 kilometers at 20 degrees south of west. At it's destin...

A: It is given that red Cross helicopter takes off and flies 75 kilometres at 20 degrees south of west....

Q: Given set A with 17 elements and set B with 7 elements. a. What is the maximum number of elements in...

A: Given set A with 17 elements and set B with 7 elements. If all the elements of set A and set B are d...

Q: A circle has a radius 9cm. If an arc of this circle has degree measure 150, find the length of the a...

A: Click to see the answer

Q: 35. Find the perimeter of the triangle. Round to the nearest tenth. 5 cm 109° 9 cm a. 25.6 cm b. 21 ...

A: Consider the given triangle as follows.

Q: What happens to the volume of a box if the dimensions of the base are doubled?

A: In other words, volume of the box = Area of the base * Height of the box  ...(1) If dimensions of th...

Q: Question 96

A: The value of a + b = 3. First of all, consider the given expression. Then use the exponent power rul...

Q: in? Find the surface area and volume of the solid. Use 3.14 for T. Surface Area (Round to the neares...

A: To determine the surface area and volume of the sphere.

Q: Sketch a two-circle Venn diagram like the one shown here and label the four regions of the diagram. ...

A: As per our honor code, we will answer first question for you. If you want any specific question to b...

Q: The hypotenuse of a 30-60-90 triangle is 30. What is the length of one of it's legs?

A: Given triangle have angle 30-60-90, hypotenuse = 30Hence it is right angle triangleSo,legs if base c...

Q: Need help please.

A: Consider the given figure

Q: Question number 157

A: Click to see the answer

Q: A box for a 12-pack of soda has the dimensions of 4.8 inches X 21 inches X 7 inches. If a soda can h...

A: Volume of the box is equal to 4.8*21*7=705.6 cubic inches (using formula for volume of a cuboid) Rad...

Q: The points of a scatter plot lie close to the line whose equation is y=2-5x.  The slope of this line...

A: Given equation of a line is y = 2 –5x.General form of an equation of line y = a + bx have its slope ...

Q: A sign in an elavtor in France indicates that it's maximum weight capacity is 300 kilograms. What is...

A: Given:

Q: I asked this question before and they got 5 cubic yards as the answer but it said it was wrong

A: Click to see the answer

Q: The following figure has perimeter, circumference, or area as indicated. Find the value of x. Use 3....

A: To Determine: Find the radius x, when Area A = 40.694

Q: Draw a 3-cm-by-7-cm rectangle. Then discuss the difference in the units we attach to the 3 and the 7...

A: Given3-cm by 7-cm rectangle andDecomposed into equal groups of 1-cm by 1-cm square

Q: A line through the center of a circle perpendicular to a chord (not a diameter) bisects the chord. T...

A: Click to see the answer

Q: Garcia passes the ball to Wilson. What vector names this translation? Make sure to write your vector...

A: From Garcia to Wilson it is 2 units down and 7 units left. So, change in x is -7 and change in y is ...

Q: Find the equation of a circle centered at (-2,5) if it passes throught the point (4,5),

A: Given,

Q: help!

A: Click to see the answer

Q: Find x, where a = 7° and b = 29°. Then find the measure of each angle of the polygon. х‑ m(zA) = m(z...

A: Click to see the answer

Q: Answer the following. (a) A pyramid has 24 faces. How many lateral faces does it have? lateral faces...

A: Answering part (a) Given: Total faces of pyramid = 24 Let no of lateral faces = x Since a pyramid ha...

Q: are the following two logical statements equialent  ( p v q) v r  p v ( q v r )

A: Click to see the answer

Q: Given the following defintions  U={a,b,c,d,e,f,g} A={ a,c,e,g} B={ a, b,c,d} find A ∪ B Anwser in ro...

A: Given:U={a,b,c,d,e,f,g}A={ a,c,e,g}B={ a, b,c,d}

Q: help!! the assignment is on quadrilaterals, similar triangles, and circles! I really need this answe...

A: Click to see the answer

Q: Assume that the area of the triangle BAE is 37 cm2, that the area of the trapezoid ABDF is 86 cm2, a...

A: Consider the given diagram of the question,Given Area of the triangle BAE = 37 cm2According to the g...

Q: A farmer has a fence that encloses a square plot with an area of 49 square meters. If the farmer use...

A: Click to see the answer

Q: A kite on a 100 feet string has an angle of elevation of 18 degrees. The hand holding the string is ...

A: Click to see the answer

Q: What is the significance of the golden ratio?

A: Click to see the answer

Q: Question 121

A: x is the integer greater than 35 and the three sides of the triangle are 19, 21, and x.

Q: Are the following two logical statements equivlent ~( p v q) ~ p ^ ~q

A: Click to see the answer

Q: Number 15

A: Click to see the answer

Q: Adams passes the ball to Kwan, who then passes the ball to Garcia. What is the resultant vector?

A: Adams passes the ball to Kwan, who then passes the ball to Garcia. So the ball went from Adams to Ga...

Q: Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: ∠CXY ≅ ∠BXY ∠...

A: Consider the given figure:

Q: (f) Determine the area (in square centimeters) and perimeter (in centimeters) of the trapezoid. (Rou...

A: Click to see the answer

Q: LRH LBH LYH LRT SRH SBH SYH LBT LYT SRT SBT SYT LRS LBS LYS LRC LBC LYC SRC SBC SYC SRS SBS SYS Y: T...

A: a) Yellow and blue are different colors, so they have to be disjoint.  This means the set of yellow ...

Q: A 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle o...

A: Given: -

Q: what is the surface area of a sphere whose dimeter  is 11.5? use  π  = 3.14 as needed. round to two ...

A: Click to see the answer

Q: A rectangualr prism has a base with an area of 18 square feet and a volume of 54 cubic feet.  What i...

A: Click to see the answer

Q: Find an equation of the line though the given points. Please show steps. (6, 1), (6, 3)

A: Click to see the answer

Q: Find n. (Figure not drawn to scale.) n = 127 127° 77° 50°

A: We know that the straight angle is 180° and the sum of three interior angles in a triangle is also 1...

Q: Question about angle measurements

A: Given that lines  r and s are parallel to each other and are cut by transversal line t which is give...

Q: Question number 32

A: Click to see the answer

Q: Use a paragraph, flow chart, or two-column proof to prove that ZX̅̅̅̅ is the perpendicular bisector ...

A: Click to see the answer

Q: Wilson kicks the ball according to the rule (x,y) -> (x + 3, y - 7). Is a goal scored if the goal...

A: The answer will be yes. According to the rule of the translation the initial point represents the ho...