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In triangle OAB, OA = 3i + 4k and OB = i + 2j - 2k. Find OP, where P is the point where the bisector of Angle AOB intersects AB. Answer is 7i/4 + 5j/4 + k/4 Don't use

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Vectors
In triangle OAB, OA = 3i + 4k and OB = i + 2j - 2k. Find OP, where P is the point where the bisector of Angle AOB intersects AB. Answer is 7i/4 + 5j/4 + k/4 Don't use the matrix method as I haven't learnt it yet and please show working. Thx a lot.

Geometry
ray OB is the bisector of angle AOC and ray OC is the bisector of angle BOD. m<AOD =120 find m<AOB

Math (please help!!)
Which of the statements about the picture below is true? Choose 3. postimg(.)org/image/qb71bjkjh/f11870c4/ A. F is the circumcenter of the triangle<< B. F is the incenter of the triangle C. F is the point of concurrency of the perpendicular bisector of the sides of the ...

geometry
Point M is the midpoint of AC. Find its coordinates. (1 point)(b + c, d) (a + c, d) (2c + 2c, d) (2b + c, d) 2. Point N is the midpoint of BC. Find its coordinates. (1 point)(b + c, d) (a + c, d) (2a + c, d) What theorem do Exercises 1-4 prove? (1 point)Triangle Inequality ...

Math
Triangle ABC has a right angle at C. The bisector of an exterior angle at B intersects line AC at D. If AB=13 and BC=5, what is the length of segment BD?

Math
Let AB and CD be two lines intersecting at point O. Let OP be the bisector of angle AOC, OT the bisector of angle POB, and OR the bisector of angle TOD. If angle POR = 25 degrees, find angle AOC and angle AOD.

Math
Let AB and CD be two lines intersecting at point O. Let OP be the bisector of angle AOC, OT the bisector of angle POB, and OR the bisector of angle TOD. If angle POR = 25 degrees, find angle AOC and angle AOD.

heeeeeeelp geometry
In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| to |BL| is 6:5. The area of the triangle ...

math
A line with negative slope passes through the point P(5,2) and intersects the x-axis at the point A and the y-axis at the point B. a. Find the equation of the line for which the length of the segment AB is the smallest. b. Find the equation of the line for which sum of the ...

Math
Answer with Always, Sometimes or Never True. Kindly explain why so that I can understand. Thanks. 1. An interior angle and an exterior angle of a triangle are supplementary. 2. The bisector of an angle of an isosceles triangle is also a perpendicular bisector. 3. The sum of ...

Geometry
5. What theorem do Exercises 1-4 prove? (1 point) Triangle Inequality Theorem Converse of the Angle Bisector Theorem Angle Bisector Theorem Triangle Midsegment Theorem

Geometry
Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an arithmetic progression with a common difference ...

geometry
What is the point called in an equilateral triangle where the angle bisector, perpendicular bisector, height, median meet (they all meet in the same spot)

Math please help
In triangle ABC, we have <BAC = 60 degrees and <ABC = 45 degrees. The bisector of <A intersects line BC at point T, and AT = 24. What is the area of triangle ABC? How should i approach this?

SAT math
Can someone please double check my true and false answers! 1. All cylinders are prisms: TRUE 2. The angle opposite a side length of 6 cm in a triangle is larger than an angle opposite a side length of 7 cm in the same triangle: FALSE 3. The perpendicular bisector of the base ...

PLEASE HELP!!!!! (Right Triangle Question)
Point N is on hypotenuse BC of triangle ABC such than angle CAN is 45 degrees. If AC=8 and AB=6, find AN. I did Pythagorean Theorem for triangle ABC, and hypotenuse BC will be 10. I don't know how to continue from there. Oh, I'm also unsure about this, but if angle CAN is 45 ...

Geometry
Can I get help starting this exercise:- Let triangle ABC be such that AB is not congruent to AC. Let D be the point of intersection of the bisector of angle A and the perpendicular bisector of side BC. Let E, F, and G be the feet of the perpendicular dropped from D to line AB...

geometry
I need to figure out this proof, the figure is two triangles forming a rhombus. Given: segment BD is the angle bisector of triangle ABC and triangle ADC Prove: Triangle ABD is congruent to Triangle CBD So far I have segment BD is the angle bisector of triangle ABC and triangle...

math
In triangle ABC, angle A = 80 degrees. The bisector of angle B and angel C intersect at point P. Angle BPC = what?

math
The diagram shows a sector OAB of a circle, centre O and radius10 cm. Angle AOB is theta radians. The point C lies on OB and iss such that AC is perpendicular to OB. The region R is bounded by the arc AB and by the lines AC and CB. The area of R is 22cm^2 1. show that theta=0....

math
In a circle with a radius of 5cm and is centered at point O, angle AOB intercepts arc AB. Arc AB has a length of 10cm. What is the degree measure of angle AOB? Round to the nearest hundredth.

geometry
I have triangle XYZ with BX as the bisector sides XY and XZ are congruent. I have to write a proof for angle Y being congruent to angle Z. This is what I have, but it doesn't seem correct - can anyone help? XY is congruent to XZ - Given XB bisects angle XYZ - Perpendicular ...

mathematics
AOB is a sector of a circle such that angle AOB=60 degrees Celsius and OB is r units long. the area of AOB is

Mathamatics
O is any point on Diagonal DB OF Parallogram ABCD. Prove that Ar (Triangle OAB) = Ar(Triangle OBC

Geometry
The perimeter of triangle ABC is 29 meters. Line segment AD bisects angle A. Find AB and AC. CD=5cm, DB=4 cm.(triangle angle bisector theorem)

Mathamatics
OIS ANY POINT ON DIAGONAL DB OF PARALLOGRAM ABCD PROVE THAT, AR(TRIANGLE OAB) = AR(TRIANGLE OBC)

Math Geometry
The angle bisector of one angle of a triangle forms two angles that measure 27 degrees. The angle bisector of another angle forms two angles that measure 34 degree. What is the measure of the third angle of the triangle?

math
Triangle $ABC$ is a right triangle with right angle at $A$. Suppose $\overline{AX}$ is an altitude of the triangle, $\overline{AY}$ is an angle bisector of the triangle, and $\overline{AZ}$ is a median of the triangle, and $\angle XAY = 13^\circ$. If $X$ is on $\overline{BY...

corollary to isosceles triangle theorem
how to prove 1)the measure of each angle of an equilateral triangle is 60. 2)the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. Thanks. 1) The angles in any triangle have to add up to 180 degrees, right? 3 x 60 = 180 2) ?? 2. ...

Remy
triangle AOB is a right angled triangle....(1.5, 2)is the midpoint co-ordinate of AB the co-ordinate of B is (2.5. 0)... Find the height of point A reached by the the top of the triangle... Could you show this step-by step please?

Remy
triangle AOB is a right angled triangle....(1.5, 2)is the midpoint co-ordinate of AB the co-ordinate of B is (2.5. 0)... Find the height of point A reached by the the top of the triangle... Could you show this step-by step please?

Area of a triangle i need help urgently
in triangle ABC b=6 c=8 and angle A=60degree find the area of a triangle.let AD be the bisector of A where D lies on BC and AD=K?? Show that AD=24root3/7...

Area of a triangle
In Triangle ABC b=6cm c=8cm and angle A=60 find the area of a triangle.let AD be the bisector of A where D lies on BC and AD=K show that AD=24root3/7

Geometry
One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3-inch and 5-inch segments. Find the perimeter of the triangle in terms of x. ( triangle angle bisector theorem)

geometry
if angle aob=4x+15 and aoc=3x+25, find the degree measures of angle aob and angle aoc

triangles (math)
BO and CO are respectively the bisector of angle b and angle c triangle ABC.AO produced meets BC at P, then find AB/AC.

maths
In triangle ABC angle B > angle C if AM is the bisector of angle BAC and AN perpendicular BC. prove that angle MAN =1/2(angle B - angle C)

st pats
if the diagram below, AOB=p, If BOC is two times AOB, COD is four times, AOB and DOA is five times AOB, Find the values of All four angles

Geometry
If angle AOB=4x+15 and angle AOC=3x+25, find the degree measured of AOB and AOC

geometry
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a ...

fundamentals of math
A point lies on the of a line segment if and only if the point is equidistant from the endpoints of the segment. angle bisector trisector altitude perpendicular bisector

Geometry
One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3-inch and 5-inch segments. Find the perimeter of the triangle in terms of x. ( triangle angle bisector theorem) Let y be the small ...

math pls
The lengths of segments PQ and PR are 8 inches and 5 inches, respectively, and they make a 60-degree angle at P. (d) Find the sizes of the other two angles of triangle PQR. (e) Find the length of the median drawn to side PQ. (f) Find the length of the bisector of angle R. (g) ...

geometry/math pls help
The lengths of segments PQ and PR are 8 inches and 5 inches, respectively, and they make a 60-degree angle at P. (1) Find the sizes of the other two angles of triangle PQR. (2) Find the length of the median drawn to side PQ. (3) Find the length of the bisector of angle R. (4) ...

MATHS
In a triangle ABC, angle B> angle C. If AM is the bisector of angle A and An is perpendicular to BC. Prove that angle MAN=1/2(angle B-angle C).

MATH_URGENT
Let M be the midpoint of side \overline{AB} of \triangle ABC. Angle bisector \overline{AD} of \angle CAB and the perpendicular bisector of side \overline{AB} meet at X. If AB = 40 and MX = 9, then how far is X from line {AC}?

Geometry
1) in triangle ABC, AD is the angle bisector of < A. If BD = 5, CD = 6 and AB = 8, find AC.

Math
1) in triangle ABC, AD is the angle bisector of < A. If BD = 5, CD = 6 and AB = 8, find AC.

trig
ABC is rightangled triangle. AD is the bisector of angle BAC. Angle DAC=15 degrees. X=CD. Find X. I know the answer is 7.1 but do not know how to do the actual sum. Can you please help.

trig
ABC is rightangled triangle. AD is the bisector of angle BAC. Angle DAC=15 degrees. X=CD. Find X. I know the answer is 7.1 but do not know how to do the actual sum. Can you please help AB = 23 CM

math
Let AB and CD be two lines intersecting at point O. Let OP be the bisector of ]AOC, OT the bisector of ]POB, and OR the bisector of ]TOD. If ]POR = 25, find ]AOC and ]AOD.

Geometry please help
Ravi wants to trisect an angle AOB, which has measure θ. From A, he drops a perpendicular to side OB, intersecting at C. He then constructs an equilateral triangle ACD on the opposite side of AC as compared to O. He claims (without any justification) that 2∠DOB=&#...

math
in triangle abc ad is bisector of angle a and angle b is twice of angle c prove that angle bac is equal to 72

Trig
The lengths of segments PQ and PR are 8 inches and 5 inches, respectively, and they make a 60-degree angle at P. (a) Find the area of triangle PQR. (b) Find the length of the projection of segment PQ onto segment PR. (c) Find the length of segment QR. (d) Find the sizes of the...

math
in the triangle ABC , AD ray bisects the exterior angle of the triangle at A and intersects CB ray at D . if AB = 6 cm , AC = 8 cm , and BC = 5 cm , find the length of BD line segment

Geometry Help!!!!!!!!!!
In triangle ABC if m<ABF=39 and BF is an angle bisector, find <BCE

maths
Trigonometry query. ABC is a rightangled triangle. AD is the bisector of angle BAC. Angle DAC = 15 degrees. X = CD. find X. I know the answer is 7.1 but cannot work out the theory. Could you please help? Thankyou.

another geometry question
BD is a perpendicular bisector of triangle ABC. XZ is a perpendicular bisector of triangle WXY. Triangle ABC is similar to triangle WXY with a scale factor of 1:2. Part I. Find BD, AB, WZ, XZ and WX. Part II. What is the scale factor of the perimeters of triangle ABC and ...

MATHS-geometry
how do you draw an obtuse angle triangle, construct the perpendicular bisector of each side Draw a triangle with one angle greater then 90 degrees. Find the midpoint of each side. Then draw a perpendicular to each side at each midpoint. The three lines may intersect OUTSIDE ...

maths
if bisector of any angle of triangle bisects he opposite side then it is isoceles triangle

Math
If the bisector of the vertical angle of the triangle bisects the base prove that the triangle is isosceles?

Geometry check
how is constructing an angle bisector similar to constructing a perpindicular bisector? Both constructions begin with a given angle Both constructions allow you to find the midpoint of a segment Both constructions require that you draw a ray Both constructions require that you...

Geo (locus)
I don't fully get this stuff but some of these I guessed on and some I think I;m close so will someone check/ help me please? * is the answer I put 1. Point A is 0.5 cm from j. k and k are parallel and 1 cm apart. Find the locus of points that are 0.75 cm from A and ...

geometry
BD is a perpendicular bisector of triangle ABC. XZ is a perpendicular bisector of triangle WXY. Triangle ABC is similar to triangle WXY with a scale factor of 1:2. Part I. Find BD, AB, WZ, XZ and WX. Part II. What is the scale factor of the perimeters of triangle ABC and ...

MAth
ina given parallelogram ABCD THE ANGLE BISECTOR OF ANGLE A BISECTS BC .WILL ANGLE BISECTOR OF B ALSO BISECT AD?GIVE REASON.

MATH
1. The circle graph represents a family’s monthly budget. If the total monthly budget is $5,000, how much does the family spend on items other than food and housing? circle graph (1 point) $1,000$1,500$3,500$2,500 The following table gives the percentage of sixth grade ...

MMATH08
IN PARALLELOGRAM ABCD, ANGLE BISECTOR OF ANGLE A BISECTS BC. WILL ANGLE BISECTOR OF ANGLE B ALSO BISECT AD?

math
In pallelogram, ABCD, E is the midpoint of DC, AE intersecs BD at point O, the area of triangle DOE is 12cm^2, what is the area of triangle AOB?

math
in triangle abc, a line parallel to AC intersects at AB at D and BC at E . If db is 6, ad is 2 and bc is 24, find de if ab and bc include a 60 degree angle

mATH
MY ANSWER RECORDED BELOW 1. The circle graph represents a family’s monthly budget. If the total monthly budget is $5,000, how much does the family spend on items other than food and housing? circle graph (1 point) $1,000$1,500$3,500$2,500 The following table gives the ...

Isoceles Angle Bisector
Triangle ABC is isosceles with AB=AC. D is a point on BC such that AD bisects ∠BAC. What is the measure of ∠ADB (in degrees)?

Geometry
In triangle ABC, BC = 20sqrt3 and angle C = 30 degrees. Let the perpendicular bisector of BC intersect BC and AC at D and E respectively. Find the length of E.

math
In triangle $ABC$, $BC = 20 \sqrt{3}$ and $\angle C = 30^\circ$. Let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. Find the length of $DE$.

math
In triangle ABC, BC = 20 * sqrt(3) and angle C = 30 degrees. Let the perpendicular bisector of BC intersect BC and AC at D and E, respectively. Find the length of DE.

vector
The centroid of the triangle OAB is denoted by G. If O is the origin and OA=4i + 3j ,OB=6i-j. Find OG in terms of the unit vectors, I and j.

MATH8
IN A PARALLELOGRAM ABCD, THE ANGLE BISECTOR OF ANGLE A BISECTS BC. WILL ANGLE BISECTOR OF B ALSO BISECT AD ?

Geometry
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of A. If CN/NB=21, what is CM/MB ?

Geometry
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ÚBAC. If CN/NB =21 , what is CM/MB ?

math
ABC is a right angled triangle . AD is bisector of angle BAC. Angle DAC = 20 degree . X = CD.

MATHS
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?

math
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?

geometry
You have isosceles triangle WXY and segment WZ is the perpendicular bisector of segment XY. You have to prove triangle WXY isosceles in only three steps using the theorem: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of ...

Math (Geometry)
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?

Math (Geometry)
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21, what is CM/MB?

heeelp MATH
ABC is a triangle with a right angle at A.M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CN/NB=21,what is CM/MB?

math
ABC is a triangle with a right angle at A. M and N are points on BC such that AM is the altitude, and AN is the angle bisector of ∠BAC. If CNNB=21, what is CMMB?

Math
(Preferably answered by tomorrow night - that's plenty of time.) Ray OB is the bisector of angle AOC and ray OC is the bisector of angle BOD. m of angle AOC = 60. Find m of angle COD. *m means "measure" Write a proof in two-column form. Given: ray DC is perpendicular to line ...

maths
ABC is a triangle with ∠BAC=60∘,AB=5 and AC=25. D is a point on the internal angle bisector of ∠BAC such that BD=DC. What is AD^2?

MMATH08
IN PARALLELOGRAM ABCD, BISECTOR OF ANGLE A BISECTS BC,WILL BISECTOR OF ANGLE B BISECT AD,EXPLAIN HOW.

Geometry
BD is a perpendicular bisector of triangle ABC. XZ is a perpendicular bisector of triangle WXY. Triangle ABC is similar to triangle WXY with a scale factor of 1:3. Part I. Find BD, AB, WZ, XZ and WX. Part II. What is the scale factor of the perimeters of triangle ABC and ...

Geometry
BC is a triangle with ∠BAC=60∘,AB=5 and AC=25. D is a point on the internal angle bisector of ∠BAC such that BD=DC. What is AD^2? It is not stated that D lies on BC. This assumption is not necessarily true.

Math
A line 'l' intersects line 'm' at point A at 45 degree angle. B and C are points on line m, where the distance from B to A is equal to the distance from A to C. How many points on line 'l' are equidistant from points B and C? How is it one point? And this one point on line 'l...

geometry
In triangle ABC, X and Y are the midpoints of BC and AC, respectively. The perpendicular bisectors of BC and AC intersect at a point O inside the triangle. If angle C = 47 degrees, then find the measure of angle XOY?

GEOMETRY TRIANGLE
IN TRIANGLE ABC, A POINT D IS ON AC SO THAT AB=BD. ANGLE ABC - ANGLE ACB = 30. FIND ANGLE CBD HELP NNNNNDEEEEEDDDD PLEASE

prob
Consider the triangle with vertices (0; 0), (1; 0) and (0; 1). Let Z be a uniform random variable in the interval [0; 1]. Draw a vertical line that intersects the x axis at Z. This line divides the triangle in two pieces. Select a point (X; Y ) uniformly at random from the ...

math help
The perimeter of triangle RXA is 39, PX=49 and AP=9.Find RX and RA. I think it's under triangle bisector theorem. Help me answer this guys. Thanks.

Geometry
Find the indicated values. Please correct me if I'm wrong! 1. B is between A and C. AB=2x+1, BC=3x-4, and AC=62. Find the value of 'x' and determine if B is a bisector. X=13 Is it a bisector? Yes 2. M is between L and N. LM=7x-1, MN=2x+4, and LN=12. Find the value of 'x' and ...

vectors( need answer asap)
The centroid of the triangle OAB is denoted by G. If O is the origin and OA=4i + 3j ,OB=6i-j. Find OG in terms of the unit vectors, I and j.

geometry
Given AB is perpendicular to BC <ABO= (2x + y)degrees <OBC= (6x + 8)deg. <AOB= (23 + 90)deg <BOC= (4x + 4)degrees Find <ABO (don't know how to draw it but a triangle is within a circle. The triangle name is ABC and segment BO goes through the triangle.)

tan x = 1/2
Can someone tell me what the radian value is for this number and how they got it? Thanks On a graph plot the point A(2,1) Let C(2,0) be the point on the x-axis x is the angle AOB and tan x = 1/2 Since angle x is not one of the special angles, you will have to use a calculator ...

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