Answer:
C) 2(x+1)=2x+1 ( No Solution )
Step-by-step explanation:
1)
2)
3)
4)
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Each angle on a triangle pertains to the opposite side
so let’s start by solving the equations:
6 + 4 = 10
2(6) - 3 = 9
3(6) - 10 = 8
then order then look at what each of the sides is opposite to:
10 = A
9 = B
8 = C
so from smallest to largest the angles are C, B, A
Figures of same shape and size are similar .Two circles C1&C2 will be similar.
Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y is having a translation of y-4.The center of the circle is dilated by 3 units.
The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.
2) Area of sector = 
÷360.
Where α is the angle made at center.
Area of given sector= π(12)(12)(60)÷360 =24π.
1)
I:x-y=-7
II:x+y=7
add both equations together to eliminate y:
x-y+(x+y)=-7+7
2x=0
x=0
insert x=0 into II:
0+y=7
y=7
the solution is (0,7)
2)
I: 3x+y=4
II: 2x+y=5
add I+(-1*II) together to eliminate y:
3x+y+(-2x-y)=4+(-5)
x=-1
insert x=-1 into I:
3*-1+y=4
y=7
the solution is (-1,7)
3)
I: 2e-3f=-9
II: e+3f=18
add both equations together to eliminate f:
2e-3f+(e+3f)=-9+18
3e=9
e=3
insert e=3 into I:
2*3-3f=-9
-3f=-9-6
-3f=-15
3f=15
f=5
the solution is (3,5)
4)
I: 3d-e=7
II: d+e=5
add both equations together to eliminate e:
3d-e+(d+e)=7+5
4d=12
d=3
insert d=3 into II:
3+e=5
e=2
the solution is (3,2)
5)
I: 8x+y=14
II: 3x+y=4
add I+(-1*II) together to eliminate y
8x+y+(-3x-y)=14-4
5x=10
x=2
insert x=2 into II:
3*2+y=4
y=4-6
y=-2
the solution is (2,-2)
Answer:
4/9 or 44.44%
Step-by-step explanation:
We have the following probabilities:
Probability of winning the statistical test = P (s) = 2/3
Probability of winning the mathematics and statistics test = P (s n m) = 14/45
Probability of winning at least one test = P (s u m) = 4/5
We have that, the probability of winning the mathematics test P (m) can be found in the following way:
P (s n m) = P (s) + P (m) - P (s u m)
replacing we have:
14/45 = 2/3 + P (m) - 4/5
P (m) = 14/45 - 2/3 + 4/5
p (m) = 4/9 = 0.444
Which is the same as there is a 44.44% probability that I will win the math test
