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lisabon 2012 [21]
3 years ago
14

Given three collinear points, X, M, Z, respectively. Find XZ,

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

Step-by-step explanation:

2x + 35 and MZ = 5x - 22. 146 136 156.

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Whats after hundreds thousands
ohaa [14]
Millions are after hundred thousands.
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3 years ago
A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Kitty [74]

Answer: ab =6

have:

\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\\frac{a+b+1}{ab}=1

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

4 0
3 years ago
Tsits Cat
8090 [49]

Answer:

the trinagne

Step-by-step explanation:

8 0
3 years ago
If one side of a triangle is 87 and the other side is 52, what is the measurement of the other side?
mezya [45]

Answer:

87+52=139 180-139 = 41

41 is the measurement of the other side

Step-by-step explanation:

3 0
3 years ago
Camilias as backyard is in the shape of a rectangle and has a length of 16.5 feet. It costs her $976 to fence in the yard. If fe
Bumek [7]

Answer:

14 feet

Step-by-step explanation:

To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:

p = 2 * l + 2 * w

Now we know that the total fencing value is $ 976 and that per foot is $ 16

that is, we can calculate the value of the perimeter, like this:

976/16 = 61

We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:

61 = 16.5 * 2 + 2 * w

solving for w:

w = (61 - 33) / 2

w = 14

which means that the width of the patio is 14 feet.

8 0
3 years ago
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