The correct answer is B). 6
Radius of inscribed circle of triangle HJK is 6 unit
Step-by-step explanation:
As shown in figure,
The triangle HJK has In-circle or inscribed circle of radius PL(or PM or PN)
Since, PL and PM is radius of same in-circle,
PL = PM
Given that PL=3x+4 and PM =6x-14
3x+4=6x-14
3x=18
x=6
Thus, The correct answer is B). 6
Answer:
There are 10 pigs and 30 chickens
Step-by-step explanation:
Let the number of pigs be x
let the number of chickens be y
Then there are 40 heads . So the total number of pigs and chickens is 40
x + y = 40-----------------------(1)
We know that pigs have 4 legs and chickens have 2 legs
4x + 2y = 100----------------------(2)
Solving (1) and (2)
multiply (1) by 2
2x + 2y = 80-------------------------(3)
subtract (3) from (2)
4x + 2y = 100
2x + 2y = 80
----------------------------
2x = 20
----------------------------
x = 10
Now Substituting x in (1), we get
10 + y = 40
y = 40 - 10
y = 30
The corresponding angle is A and D and Q and R
Answer:-3
Step-by-step explanation:
The expression is already in decimal form.
−3 slope
Lets say that the first number is x and the second number is y.
from the question we know that:
y=-3x and x+y=-4
from there, you need to replace the y in the second equation with -3x since we know that is what y equals so we can have an equation with only one variable.
x+-3x+-4
Then you solve for x.
-2x=-4
x=2
then you find y with the fact that y=-3x
y=-6
