By the external angle theorem
5x = (5x - 30) + m < RST
m < RST = 5x - 5x + 30 = 30
also m < STR = m < SRT = 5x - 30
So as there are 180 degrees in a triangle:-
5x - 30 + 5x - 30 + 30 = 180
10x = 180 +30+30-30 = 210
x = 21 answer
Well first we need to do whatever is in the parentheses, which in this case is: (5x1/20)
Following the order of operations (PEMDAS) we start with the multiplication, which is (5x1). We know that 5x1=5, so now we can move on to the division:
5/20, which is equal to 0.25
So now that we know the answer to the equation in the parentheses is 0.25, we can solve the whole equation.
Here is the equation simplified:
4 (0.25)
Because there is now operation indicated between the 4 and the parentheses, we can assume that multiplication is implied, so the final equation is as follows:
4x0.25=1
The final answer is: 1
Hope this helps!
Answer:
a. 20% b. 35% c. 1.6875 d. 14.25
C is the answer yeah yeah
Answer:[m, m+d, m+2d, - - - - -, n]
Step-by-step explanation:
We know the formula for arithmetic progression is a_(n) = a_(1) + (n-1)d
Where a_(n) is the nth term of the sequence
a_(1) is the first term of the sequence
n is the number of the term like if we are talking about 7th term so the n is 7.
d is the difference between two successive terms.
For this problem we know our first term that is m, our last term that is n and our difference that is d.
For second term we will use the formula
a_(2) = m + (2-1)d
a_(2) = m + (1)d
a_(2) = m + d
Similarly,
a_(3) = m + (3-1)d
a_(3) = m + (2)d
a_(3) = m + 2d