If AB = k + 3, BC = 2k and AC = 5k - 5, then for what value of ' k ' does B lie on AC?
Given:
AB = k + 3
BC = 2k
AC = 5k - 5
We are to find the value of k such that point B lies on line segment AC.
Concept Used:
If point B lies on line segment AC, then the sum of segments AB and BC must equal AC:
AB + BC = AC
Solution:
(k + 3) + (2k) = 5k - 5
3k + 3 = 5k - 5
3 + 5 = 5k - 3k
8 = 2k
k = 4
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishIn the following table two columns are given. Match column A with column B.
Column A | Column B |
[a] Acute angle | [i] 90° |
[b] Obtuse angle | [ii] 240° |
[c] Right angle | [iii] 30° |
[d] Reflex angle | [iv] 120° |
How many lines of symmetry does the figure have?
Which of the following statements is false?
The larger of two supplementary angles is 60° more than the smaller one. The smaller angle (in degree) is:
The larger of two supplementary angles is 62° more than the smaller one. The smaller angle (in degree) is:
The lines L1 and L2 are parallel lines cut by a transversal. If the measure of one of the corresponding angles is 75°, then what is the measure of the other corresponding angle?
Let AB and CD be two parallel lines and PQ be a transversal such that PQ intersects AB at the point R and CD at the point S, respectively. If ∠BRP = (2x + 13)° and ∠DSP = (3x − 22)°, then find ∠CSP.
The larger of two supplementary angles is 50° more than the smaller one. The smaller angle (in degree) is:
The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:
Suggested Test Series
Suggested Test Series
In the following table two columns are given. Match column A with column B.
Column A | Column B |
[a] Acute angle | [i] 90° |
[b] Obtuse angle | [ii] 240° |
[c] Right angle | [iii] 30° |
[d] Reflex angle | [iv] 120° |
How many lines of symmetry does the figure have?
Which of the following statements is false?
The larger of two supplementary angles is 60° more than the smaller one. The smaller angle (in degree) is:
The larger of two supplementary angles is 62° more than the smaller one. The smaller angle (in degree) is:
The lines L1 and L2 are parallel lines cut by a transversal. If the measure of one of the corresponding angles is 75°, then what is the measure of the other corresponding angle?
Let AB and CD be two parallel lines and PQ be a transversal such that PQ intersects AB at the point R and CD at the point S, respectively. If ∠BRP = (2x + 13)° and ∠DSP = (3x − 22)°, then find ∠CSP.
The larger of two supplementary angles is 50° more than the smaller one. The smaller angle (in degree) is:
The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:
