In the circle drawn to scale below A,B,C and D are points on its circumference, Chord BC=AC and angle ADC=138^o

In the circle drawn to scale below A,B,C and D are points on its circumference, Chord BC=AC and angle ADC=138^o


Giving reasons calculate the angle ACB

---

---

Wilfykil answered the question on September 5, 2019 at 05:50

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• Solve the simultaneous inequalities given below and list all the integral values of x (Solved)
  

  Solve the simultaneous inequalities given below and list all the integral values of x
  

  Date posted: September 5, 2019 .    Answers (1)

• The figure below shows a triangle ABC not drawn to scale, D is a point on line AC. (Solved)
  

  The figure below shows a triangle ABC not drawn to scale, D is a point on line AC. Given that BC=14cm, DC=7cm and angle ABC=angle BDC. Find the length of AD
  

  Date posted: September 5, 2019 .    Answers (1)

• Simplify completely by factorization (Solved)
  

  Simplify completely by factorization
  

  Date posted: September 5, 2019 .    Answers (1)

• A solid block in the shape of a cylinder has a height of 14cm and weighs 22kg. (Solved)
  

  A solid block in the shape of a cylinder has a height of 14cm and weighs 22kg. If it is made of material of density 5g/cm3, find the radius of the cylinder. (Take pi=22/7)
  

  Date posted: September 5, 2019 .    Answers (1)

• Mr. Ochuodho who deals in electronics sells a radio to a customer at Kshs. 1,440 after giving him a discount of 10% (Solved)
  

  Mr. Ochuodho who deals in electronics sells a radio to a customer at Kshs. 1,440 after giving him a discount of 10% but finds that he still makes a 20% profit. Find the profit Mr. Ochuodho would make if he does not give a discount.

  Date posted: September 5, 2019 .    Answers (1)

• A straight line L1 is perpendicular to another line L2 whose equation is 3y+4x=12 (Solved)
  

  A straight line L1 is perpendicular to another line L2 whose equation is 3y+4x=12. If the two lines
  meet at point P which lines on the x-axis, find:
  (i) The co-ordinate of point P
  (ii) The equation of line L1 in the form y=mx+c

  Date posted: September 5, 2019 .    Answers (1)

• Calculate the standard deviation for the data below (Solved)
  

  Calculate the standard deviation for the data below
  5,8,13,12,7,10,8,15,3,14

  Date posted: September 5, 2019 .    Answers (1)

• Evaluate without using a calculator (Solved)
  

  Evaluate without using a calculator
  

  Date posted: September 5, 2019 .    Answers (1)

• Points A,B,C have the co-ordinates (3,1)(8,2) and (2,6) respectively (Solved)
  

  Points A,B,C have the co-ordinates (3,1)(8,2) and (2,6) respectively
  
  (a) Find the mid points of AB and AC
  (b) Determine the equations of the perpendicular bisector of AB and AC
  (c) Hence or otherwise determine the equation of a circle which passes through the points A, B and C

  Date posted: September 4, 2019 .    Answers (1)

• Complete the table below by filling in the blank spaces for the functions y=sin(x+30) (Solved)
  

  (a) Complete the table below by filling in the blank spaces for the functions y=sin(x+30) and y= cos ½ x and draw their graphs on the same axes
  
  
  (b) Use your graph to solve
  (i) Sin (x+30)-cos ½ x=0
  (ii) Sin (x+30)=0
  (iii) Cos ½ x=-0.25

  Date posted: September 4, 2019 .    Answers (1)

• The points P(1,5) Q(2,2) R(1,1) and S(4,2) are vertices of a quadrilateral PQRS (Solved)
  

  The points P(1,5) Q(2,2) R(1,1) and S(4,2) are vertices of a quadrilateral PQRS
  
  (a) On the grid provided, draw the quadrilateral PQRS
  (b) On the same grid draw P¹Q¹R¹S¹ the image of PQRS under a rotation of positive quarter turn about the origin. State the co-ordinates of P¹Q¹R¹ and S¹
  (c) The point P¹¹Q¹¹R¹¹S¹¹ are the images of P¹Q¹R¹S¹ under a reflection in the x-axis. On
  the same grid draw quadrilateral P¹¹Q¹¹R¹¹S¹¹ and state its co-ordinates
  (d) Quadrilateral P¹¹Q¹¹R¹¹S¹¹ is the image of PQRS under a certain reflection. On your graph draw the mirror line LL for the reflection and state its equation

  Date posted: September 4, 2019 .    Answers (1)

• The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm. (Solved)
  

  The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm.
  
  
  (a) Calculate the volume of the frustrum
  (b) Calculate the surface area of the frustrum

  Date posted: September 4, 2019 .    Answers (1)

• The probability of Onyancha, Nyamusi and Jemima hitting the bull’s eye are (Solved)
  

  The probability of Onyancha, Nyamusi and Jemima hitting the bull’s eye are respectively.
  
  (a) Draw a probability tree diagram showing this possible outcomes
  (b) Find the probability that;
  (i) All hit the bulls eye
  (ii) Only one of them hit the bull’s eye
  (iii) At most one misses the bull’s eye

  Date posted: September 4, 2019 .    Answers (1)

• A passenger train travelling at 25km/hr is moving in the same direction as the truck travelling at 30km/hr. (Solved)
  

  A passenger train travelling at 25km/hr is moving in the same direction as the truck travelling at 30km/hr. the railway line runs parallel to the road and the track takes 1 ½ to overtake the train completely
  
  (a) Given that the truck is 5 metres long determine the length of the train in metres
  (b) The track and the train continue moving parallel to each other at the original speeds. Calculate the distance between them after 4 minutes and 4 seconds after the track overtake the train
  (c) The track stopped 45 minutes after overtaking the train. How long did the train take to catch up with the truck

  Date posted: September 4, 2019 .    Answers (1)

• Four towns A,B,C and D are such that B is on a bearing of 247^o and 6km from A. (Solved)
  

  Four towns A,B,C and D are such that B is on a bearing of 247^o and 6km from A. C is due SSE and 4.8km from B. D is to the south of A and the bearing of C from D is S44^oW
  
  (a) Make a scale drawing showing the relative positions of A,B,C and D using the scale 1cm represents 1km
  (b) Use your drawing to determine
  (i) The bearing of A from C
  (ii) The distance between C and D
  (iii) How far D is east of B
  (c) The average speed of a cyclist from C to A if he takes 30 minuets between A and D and 20 minutes between D and A

  Date posted: September 4, 2019 .    Answers (1)

• A cold water tap can fill a bath in 3 minutes while a hot tap can fill in 5 minutes. (Solved)
  

  A cold water tap can fill a bath in 3 minutes while a hot tap can fill in 5 minutes. The drain pipe can empty the bath in 3 ¾ minutes. The two taps and the drain pipe are fully open for 2 minutes, after which the drain pipe is closed.
  
  (a) What fraction of the bath is filled after the first two minutes
  (b) How many seconds are required for the bath to be completely filled?
  (c) Given that the cold water tap delivers water at the rate of 200cm³/s
  Determine
  I. The capacity of the bath in litres
  II. The rate of flow of the hot water tap

  Date posted: September 4, 2019 .    Answers (1)

• Given that OA= i + 2j and OB= 2i-3j. (Solved)
  

  Given that OA= i + 2j and OB= 2i-3j. Find the magnitude of AB to three significant figures

  Date posted: September 4, 2019 .    Answers (1)

• Three years ago, James was three times as old as his Peter. (Solved)
  

  Three years ago, James was three times as old as his Peter. In five years time, the sum of their ages will be 76. Determine their present ages

  Date posted: September 4, 2019 .    Answers (1)

• In the figure below, AB is parallel to DE, DE bisects angle BDG, angle DCF=60^o angle CFG=110^o (Solved)
  

  In the figure below, AB is parallel to DE, DE bisects angle BDG, angle DCF=60^o angle CFG=110^o
  
  
  Find
  (a) angle CDF
  (b) angle ABD
  Give reasons for your answers

  Date posted: September 4, 2019 .    Answers (1)

• Find the range values that satisfy the inequality (Solved)
  

  Find the range values that satisfy the inequality
  
  

  Date posted: September 4, 2019 .    Answers (1)