Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:
Use Pythagoras in triangle HKL
Taking square root on both sides.
Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,
Use Pythagoras theorem in ΔHKI,
From (1) and (2) we get
Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).
Taking square root on both sides.
Hence, the measure of KI is 11.25 units.
the sun is one hundred and fifty million kilometers away from the earth write this as an ordinary whole number
Answer:
It looks like it's going in a distinct pattern
Step-by-step explanation:
3X2=6 5X2=10 9X2=18 17X2=34
But then the pattern stops so I'm not sure if that's right. But, I hope I at least helped in someway!~
Step-by-step explanation:
the line equation
y = ax + b
gives us slope (a) and y-interception (b).
4x + 3y = 5
3y = -4x + 5
y = -4/3 × x + 5/3
the slope of the original line is therefore -4/3.
a perpendicular slope flips x and y upside-down and flips the sign.
so, the perpendicular slope of -4/3 is 3/4.
the desired line looks like
y = 3/4 × x + b
b we get by using the given point and its coordinates :
-3 = 3/4 × 3 + b = 9/4 + b
-12/4 = 9/4 + b
b = -21/4
so our full line equation is
y = 3/4 × x - 21/4
or
4y = 3x - 21
-3x + 4y = -21
Answer:
6 green marbles should be added.
Step-by-step explanation:
If the probability of drawing a blue marble from 18 marbles is 2/3 then there are 12 blue marbles because 18 times 2/3 is 12. This means that to reduce this probability to 1/2 you need to add 6 more marbles to the total amount to get it to 24. Now the probability of getting a blue marble is 12/24 which is 1/2.
