Answer:
One
Step-by-step explanation:
It is given that,
y = 3x-5 ....(1)
y = -x+4 .....(2)
We can solve the above equations using substitution method. Put the value of y from equation (1) to equation (2) such that,

Put the value of x in equation (1) we get :

It means that the value of x is
and the value of y is
. Hence, the given equations has only one solution.
-5|x + 1| = 10
-5 -5
|x + 1| = -2
No Solution
Given that two digit numbers are used and one digit is drawn randomly.
Sample space = {10,11,...99}
n(S) = 90
32 is only one number favorable
Hence P(32) = 1/90
----------------------------
Odd numbers are exactly 45.
Hence prob (odd number) = 45/90 = 1/2
-------------------------------------
Multiples of 5 are 10,15,.....95
There are exactly 18 numbers.
Hence P(a multiple of 5) = 18/90 =1/5
Have an amazing day! <3
Answer:
Angles in a triangles add up to 180°
Respectively 1 : 2 : 3 is going to be 1 x , 2 x and 3 x so,
1 x + 2 x + 3 x = 180°
⇒ Simplify
6 x = 180°
⇒ Divide by 6 on both sides to isolate x
x = 30°
Since the ratio was 1 x : 2 x : 3 x and x is 30°,
30 : 60 : 90
And since there is a 90° angle, it is a right - angled triangle
Answer: The answer is of course, 3.
Step-by-step explanation: