If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
Answer:
X = 35.7 Y=54.3
Step-by-step explanation:
Let the 2 angles be called X and Y were X is the smaller angle
we know that both angles are complementary therefore
X+Y=90
X = Y - 18.6 ( Given )
Y - 18.6 + Y = 90 ( substitution)
2Y = 90 + 18.6
Y = 108.6/2
Y=54.3
X= Y-18.6= 54.3-18.6 = 35.7
Check : X + Y = 35.7+54.3=90
Answer:
S(6, 10)
Step-by-step explanation:
1. The Midpoint (in this case, M) will always be halfway between both R and S (or other characters in some cases).
2. As M is only one X value away from R, it is only 1 X value from S as well, but in the other direction.
3. (7, 10) - (1, 0) = (6, 10)
The (7, 10) is the Midpoint Coordinates.
The (1, 0) is the distance from M to R.
The (6, 10) is the coordinates of S.
First picture)
I: 5x+2y=-4
II: -3x+2y=12
add I+(-1*II):
5x+2y-(-3x+2y)=-4-12
8x=-16
x=-2
insert x=-2 into I:
5*(-2)+2y=-4
-10+2y=-4
2y=6
y=3
(-2,3)
question 6)
I: totalcost=115=3*childs+5*adults
II: 33=adults+childs
33-adults=childs
insert childs into I:
115=3*(33-adults)+5*adults
115=99-3*adults+5*adults
16=2*adults
8=adults
insert adults into II:
33-8=childs
25=childs
so it's the last option
question 7)
a) y<6 and y>2 can also be written as 2<y<6, so solution 3 exist for example
b) y>6 and y>2 can also be written as 2<6<y, so solution 7 exist for example
c) y<6 and y<2 inverse of b: y<2<6, so for example 1
d) y>6 and y<2: y<2<6<y, this is impossible as y can be only either bigger or smaller than 2 or 6
so it's the last option
question 8)
I: x+y=12
II: x-y=6
subtract: I-II:
x+y-(x-y)=12-6
2y=6
y=3
insert y into I:
x+3=12
x=9
(9,3)
question 9)
I: x+y=6
II: x=y+5
if you take the x=y+5 definition of II and substitute it into I:
(y+5)+y=6
which is the second option :)
Answer:
x 
9
Step-by-step explanation: i took a quiz with this on it
