Question

In the adjoining figure, the value of x that will make AOB a straight line is :

2 points



a. 25⁰

b. 45⁰

c. 35⁰

d. 40⁰

19. If the angles of a triangle are (3x)⁰, (2x - 7)⁰ and (4x - 11)⁰ , then value of x is :

2 points

a. 22⁰

b. 25⁰

c. 37⁰

d. 30⁰

20. A ladder is 5.2 m long rests against a vertical wall. The foot of the ladder is 2 m away from the base of the wall. How high up the wall does the ladder reach?

2 points

a. 5.6 m

b. 4.8 m

c. 5 m

d. 6.5 m

​

Answer 1

Answer:

where is the figure for 1st question?

Step-by-step explanation:

2. (3x)⁰+ (2x - 7)⁰ + (4x - 11)⁰ = 180°

3x +2x +4x -7 -11 = 180°

9x -18 = 180°

9x = 180 + 18

9x = 198°

x = 198 ÷ 9

x = 22°

option a

3. consider the length of wall as x

By Pythagoras Theorem,

$(2)^{2} + {x}^{2} = {5.2}^{2}$

$4 + {x}^{2} = 27.04$

${x}^{2} = 27.04 - 4$

${x}^{2} = 23.04$

thus,

$x = 4.8$

option b