Answer:
A = 57°
B = 19°
C = 104°
Step-by-step explanation:
We have a triangle with 3 angles:
A, B, and C.
We know that:
"Angle A is 3 times larger than angle B"
We can write this as:
A = 3*B
"Angle C was 10° less than 6 times angle B"
This can be written as:
C = 6*B - 10°
And we also know that the sum of all interior angles of a triangle is 180°
Then we also have the equation:
A + B + C = 180°
So we have a system of 3 equations:
A = 3*B
C = 6*B - 10°
A + B + C = 180°
To solve this, the first step is to isolate one of the variables in one of the equations.
We can see that A is already isolated in the first one, so we can skip that step.
Now we need to replace A in the other equations, to get:
C = 6*B - 10°
(3*B) + B + C = 180°
Now we have a system of two equations.
Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:
3*B + B + (6*B - 10°) = 180°
Now we can solve this for angle B
4*B + 6*B - 10° = 180°
10*B - 10° = 180°
10*B = 180° + 10° = 190°
B = 190°/10 = 19°
Now that we know the measure of angle B, we can input this in the equations:
A = 3*B
C = 6*B - 10°
To find the measures of the other two angles:
A = 3*19° = 57°
C = 6*19° - 10° = 104°
Answer:
Hello Sir/ Mam
YOUR REQUIRED ANSWER IS 18.6%
Variables defined in the question:
H - Home - Games
W - Winning Games
Now, given:
P(H0.62 PW)0.22
P(W\mid H)=0.30
Required : Of all the games, percentage of games that were at home wins.
Hence, required :
P(W\cap H)
Now, we know that:
P(W\mid H)=\frac{P(W\cap H)}{P(H)}
0.3=\frac{P(W\cap H)}{0.62}
Hence,
P(W\cap H)=0.3*0.62=0.186=18.6\%
I hope this solves your doubt.
Feel free to comment if you still have any query.
Do give a thumbs up if you find this helpful.
Step-by-step explanation:
Please consult the "Calculations" section of this ans .
The information we're given is below :
- slope : -1/3
- Point crossed by the line : (3, 6)
As per given information , we can do the following :
- Write the line's equation in point slope form
Point - slope form looks like so :
y-y₁=m(x-x₁)
y-6=-1/3(x-3)
y-6=-1/3x+1
y=-1/3x+1+7
y=-1/3x+6
↑ 
Answer: I know that the answer is 47.
Step-by-step explanation: add up all the angles to get 180 degrees.
