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slavikrds [6]
2 years ago
9

What is the length of AC¯¯¯¯¯ ?

Mathematics
2 answers:
insens350 [35]2 years ago
7 0

Answer:

AC = 6

Step-by-step explanation:

y is the dimension of the horizontal segment (see the attached image).

The hypotenuses are the same dimension, so:

(x+4)^2=(x/2)^2+y^2

(3x-8)^2=(x/2)^2+y^2

So,

(x+4)^2 = (3x-8)^2

x+4 = 3x-8

x-3x = -8-4

-2x = -12

x = 6

And x is the dimension of the segment AC.

san4es73 [151]2 years ago
5 0

Answer : The length AC is, 6

Step-by-step explanation :

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Thus, \angle A=\angle C

(x+4)=(3x-8)

x+4=3x-8

3x-x=8+4

2x=12

x=6

The length AC = x = 6

The length AB = (x + 4) = 6 + 4 = 10

The length AB = (3x - 8) = 3(6) - 8 = 10

Thus, the length AC is, 6

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Zigmanuir [339]

Answer:

50.24\ cm ^2

Step-by-step explanation:

Let's start by finding the radius of this circle.

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Note that in the equation:

A=\pi r^2

"A" stands for area and "r" stands for radius.

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8 0
2 years ago
Jon and Andy had a total of 560 trading cards. After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trad
Romashka [77]

Answer:

70 cards

Step-by-step explanation:

Let A = the number of Andys cards

J = the number of Jons cards

Jon and Andy had a total of 560 trading cards

A+J = 560

After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trading cards

J - 1/9 J = 1/9 J +A

Combine like terms

8/9 J = 1/9 J +A

Subtract 1/9J from each side

7/9J = A

Substitute this into A +J = 560

7/9J +J = 560

Combine like terms

7/9J +9/9J = 560

16/9 J = 560

Multiply each side by 9/16

9/16 *16/9 J = 560 *9/16

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7/9J = A

7/9 (315) =A

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How many more trading cards did Jon have that Andy in the beginning?

We need to take Jons cards and subtract Andys cards

J-A

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6 0
3 years ago
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soldier1979 [14.2K]
Answer:
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Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10
krok68 [10]
(2/5)+(3/(5x))=(x+5)/10
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so

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distribute
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minus (4x+6) from both sides
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factor
0=(x-2)(x+3)
set each to zero
0=x-2
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0=x+3
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8 0
3 years ago
7500 portions of strawberries have been ordered for the tournament, but because of bad weather only 5 /6 of the order has been d
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