Answer:
r = - 2.5
Step-by-step explanation:
21r - 7 - r + 5 = - 52
20r - 2 = - 52
20r - 2 + 2 = - 52 + 2
20r = - 50
20r ÷ 20 = - 50 ÷ 20
r = - 2.5
Answer:
x = 9 and ∠ B = 40°
Step-by-step explanation:
See the diagram given with the question first.
Here we have ∠ A = ∠ B {They are corresponding angles}
Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13
Hence, 5x - 5 = 3x + 13
⇒ 2x = 18
⇒ x = 9
Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)
Answer:Robert's minimum age is 11 years.
Step-by-step explanation:
Let x represent George's age.
Let y represent Edward's age.
Let z represent Robert's age.
George is twice as old as Edward. It means that
x = 2y
Edward's age exceeds Robert's age by 4 years. It means that
z = y - 4
If the sum of the three ages is at least 56 years, it means that
x + y + z ≥ 56 - - - - - - - - - - 1
Substituting x = 2y and z = y - 4 into equation 1, it becomes
2y + y + y - 4 ≥ 56
4y - 4 ≥ 56
4y ≥ 56 + 4
y ≥ 60/4
y ≥ 15
z = y - 4 = 15 - 4
z ≥ 11
16<ac<24
If it is less than 16 it will not form a triangle and if it is more than 24 the other two legs will not be larger than ac is.
Answer:
x=3 and x=1
Step-by-step explanation:Horizontal asymptote will occur at x=3 and x=1.
You have to factorize the denominator and find the zeroes of the denominator. That is how you find out the horizontal asymoptote.
