Answer:
The value of x is - 11
Step-by-step explanation:
Given as :
∠ M = (5x +90) °
∠ R = 55°
The sum of measure of angle M and R are complementary
Complementary Angle are those when sum of two angle equal to 90°
∵ Angle M and R are complementary in nature
∴ ∠ M + ∠ R = 90°
Or, (5x +90) ° + 55° = 90°
Or, 5x = 90° - 90° - 55°
Or, 5x = - 55°
∴ x = - 
= - 11
Hence the value of x is - 11 Answer
Answer:
The roots are real and unequal (3, -3)
Step-by-step explanation:
x²-9=0
ax²+bx+c=0
Comparing we get,
a= 1
b= 0
c = -9
Determinant: b²-4ac
= 0² - 4(1)(-9)
= 36>0
D > 0
Therefore, the equation has real and unequal roots.
Algebraic identity:
x² - a² = (x-a)(x+a)
Using this identity
x²-9 = (x+3)(x-3)
Roots are 3 and -3 which are real and not equal to each other
Hope this answer helps you ..
Answer:
Step-by-step explanation:
The number system in most common use today is the Arabic system. It was first developed by the Hindus and was used as early as the 3rd century BC. The introduction of the symbol 0, used to indicate the positional value of digits was very important.
Answer:
11+2n
Step-by-step explanation:
Arithmetic sequence=a+(n-1)d
a=first number
n=nth term
d=difference
a=9
n=?
d=-2
So let's solve
9+(n-1)(-2)
9+(2n+2)
9+2n+2
Collect like terms
9+2+2n
11+2n
So the nth term is 11+2n
Answer:
6 minutes per kilometer
Step-by-step explanation:
[] First, let's get one unit. I will be using minutes;
2 hours 6 minutes = 120 mintues + 6 mintues = 126 mintues
[] There are about 21 kilometers in a half-marathon;
126 minutes / 21 kilometers = 6 minutes per kilometer
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
