Step-by-step explanation:
midpoint : it is the point in the middle marking half of the total distance.
therefore,
1)
EV = LE = LV/2
10 = 5m
m = 2
2)
LR = RO = LO/2
n + 4 = 12
n = 8
3)
LER and LVO are similar triangles. that means they have the same angles, and the ratio of one corresponding pair of lines or sides between both triangles is the same for all corresponding line pairs.
we know e.g. LE/LV = 1/2.
the same ratio applies then to ER/VO = 1/2 = 18/20p.
18/20p = 1/2
18 = 20p/2
2×18 = 20p
36 = 20p
p = 36/20 = 9/5 = 1.88888888888...
4)
VL = 2×EL = 2×10 = 20
5)
LO = 2×RO = 2×12 = 24
6)
as we have already calculated for 3) :
VO = 36
7)
36 + 20 + 24 = 80
8)
10 + 12 + 18 = 40
9)
remember, the and angles in similar triangles.
LVO = 52°
10)
all angles around a single point in one side of a line are together 180°.
in this case there are 2 angles around E : LER and VER.
VER = 180 - LER = 180 - 52 = 128°
Answer:
BAHO PEPE
Step-by-step explanation:
I HOPE THIS HELP
Answer:
17.10
Step-by-step explanation:
Sum of aritmetic sqeuqnece is
(n/2)(a1+an)
a1=first term
an=nth term
n=how many terms
so we gots
a1=3(1)-4=-1
a18=50
n=18
(18/2)(-1+50)
(9)(49)
441
other one
a1(1-r^(n+1))/(1-r)
2(1-2^(15+1))/(1-(1/4))
about 2 and 2/3, so closer to 3
Please include the instructions; I assume your job is to find the value of x.
<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
1 1 1
</span><span>-------- - ------------ = ----
x+1 x+2 2
Identify the LCD. It is (x+1)(x+2)(2). Mult. all 3 terms of the equation by this LCD:
2(x+2) - 2(x+1) = 2(x+1)(x+2)
We can factor out the 2 from all terms:
x+2 - x - 1 = x^2 + 3x + 2
Let's move all terms from the left to the right side:
0 = x^2 + 3x + 2 - x - 2 + x + 1
Then x^2 + 3x + 1 = 0. This is a quadratic with a=1, b=3 and c=1.
What is x?
-3 plus or minus sqrt( 9-4(1)(1) ) -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
2 2
I rather expected to obtain an integer value for x.
Why don't you give this problem a try yourself? Suggestion: First mult. every term by 2. This will give you:
2 2
------- - ------- = 1 and this may be slightly easier to work with. Please
x+1 x+2 give it a try: try to find x that satisfies this equation.
Important: note that x cannot equal either -1 or -2.
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