Answer:
Larger angle: 104 degrees
Smaller angle: 76 degrees
Step-by-step explanation:
(9x+5) + (6x+10) = 180
x = 11
<h2>
The required "option A) 20" is correct.</h2>
Step-by-step explanation:
Let x be the smaller than 4 ×
.
To find, the number of times smaller is 2 ×
than 4 ×
= ?
∴ x = 
= 2 ×
× 
Using the identity,

= 2 × 
Using the identity,

= 2 × 
= 2 × 10
= 20
Thus, the required "option A) 20" is correct.
Answer:
x=4 and y=1
Step-by-step explanation:
Equation 1) 3x+8y=20
Equation 2) 5x+3y=23
Equation 1) 5(3x+8y=20 )
Equation 2) 3(5x+3y=23)
15x+40y=100
15x+9y=69
(Take away 40y from 9y and 100 from 69)
31y = 31
y=1
Substitute y=1 into equation 1)
3x+8=20
(Take away 8 from both sides)
3x=12
(Divide by 3)
x=4
4(x 2)=48
4x+8=48
4x=40
x=10
Exponent rule : a^-b = 1 / a^b
52^-5 =
1 / 52^5 =
1 / (52 * 52 * 52 * 52 * 52)