Answer: <em>x=4</em>
Step-by-step explanation:
<em>1+3x=x+9</em>
<em> -x -x</em>
<em>1+2x=9</em>
<em>-1 -1</em>
<em>2x=8</em>
<em>Divide by 2 on each side</em>
<em>Final result</em>
<em>x=4</em>
Answer:
BAC=BDC(BDX)=30°
Step-by-step explanation:
We know that BD=OD.
But OD=OB= Radius of the circle.
Therefore
BD=OD=OB
BDO is equilateral triangle.
Angle DBO= 60°
Now let us take the intersecting point of CD and AB as X.
In triangle BDX,
BXD= 90°(BXD+BXC=180°, BXD+90°=180°, BXD=90°)
BXD+DBX+BDX=180°{Angle Sum Property}
90°+60°+BDX= 180°
BDX= 30°
We also know that,
BDC(BDX)= BAC (Angles lie on the same arc{BC} are equal in measure.
Therefore,
BAC=BDC(BDX)=30°
Answer:
I'm not that sure but I really feel like it's 15
Answer:
Step-by-step explanation:
In first voting 300 person favors the candidate out of 500
i.e. 
60 % Population favor the candidate
For second voting 550 person favors the candidate out of 1000 candidates
i.e. 
55 % Population favors candidate
so according to voting, 1 st voting is favorable for candidate because a large population support him as compared to second voting.
A)
original rectangle P = 2(w+l)
so
18 = 2(w+l) (1)
new rectangle
doubling width w, so its 2w
tripling length l, so its 3l
46 = 2(2w + 3l) (2)
now you have
18 = 2(w+l) (1)
9 = w + l so w = 9 - l
46 = 2(2w + 3l) (2)
23 = 2w + 3l
substitute w = 9 - l into 23 = 2w + 3l
23 = 2w + 3l
23 = 2(9 - l) + 3l
23 = 18 - 2l + 3 l
23 - 18 = l
5 = l or l = 5
w = 9 - l = 9 - 5 = 4
answer
original rectangle, length = 5 in and width = 4 in
b)new rectangle
length = 3l = 3(5) = 15 in
width = 2w = 2(4) = 8 in
