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3 years ago

What is the value of x if abc is equilateral

Mathematics

1 answer:

luda_lava [24]3 years ago

3 0

Answer:

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent.

Equate any pair of sides and solve for x

AC = BC , that is

10x - 5 = 6x + 3 ( subtract 6x from both sides )

4x - 5 = 3 ( add 5 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → d

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Answer:

103.424

Step-by-step explanation:

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3 years ago

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Kyle is buying turkey from the deli. If turkey cost 8.50 per kilogram and he wants 3 kilograms how much will he spend on the tur

Artemon [7]

Answer:

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3 years ago

A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to scr

ratelena [41]

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

$500*\frac{40}{100} =5*40=200$

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

$500*\frac{25}{100} =5*25=125$

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

$500-(200+125)$

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3 years ago

Suppose three players go on multiple rounds of kart race. In each round, every player has a winning probability of 1/3, independ

zepelin [54]

Answer:

a) 0.3246

b) 0.0043

Step-by-step explanation:

For player 1 ; Probability of winning = P(W) = 1/3

Probability of loosing; P(winning) + P( Loosing) = 1

P(L) = 1 - 1/3 = 2/3

a) To find Find P(N <= 10) = P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)

= (1/3)^2 + (1/3)^2 x 2/3 + (1/3)^2 x (2/3)^2 + (1/3)^2x (2/3)^3 + (1/3)^2 x (2/3)^4

X (1/3)^2 x (2/3)^5 + (1/3)^2 x (2/3)^6 + (1/3)^2 x (2/3)^7 + (1/3)^2 x (2/3)^8

= 0.3246

b) Find P(N = 10) = (1/3)^2 x (2/3)^8 = 0.0043

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3 years ago

Y is directly proportional to x,and y=216 when x=2. Find y when x=7.

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=216\\
x=2
\end{cases}\implies 216=k2\implies \cfrac{216}{2}=k
\\\\\\
108=k\qquad therefore\qquad \boxed{y=108x}
\\\\\\
\textit{when x = 7, what is \underline{y}?}\qquad y=108(7)$

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3 years ago