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Alexxx [7]
3 years ago
11

Given: ABCD is a parallelogram m∠A = 60º ; BK ⊥ AD AK = KD; Perimeter of ABCD = 24 Find: BD.

Mathematics
1 answer:
AveGali [126]3 years ago
3 0
Since AK =  KD, then the triangle ABD is isosceles,
Then BD = AB. Denote AB by x and AK by y. 
Then, 
2x+4y=24 (the perimeter)
cos 60=y/x. 
From the second equation we get y=0.5x
Plug in the first equation we get: 
2x+4(0.5x)=24\\2x+2x=24\\4x=24\\x=6
We deduce that BD=6.
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I need help please with this math problem.
dezoksy [38]

Answer:

They are equal

Both answer is 65

Step-by-step explanation:

5x -30 = 2x +27

5x -2x = 27 +30

3x = 57

x = 57/3 = 19

5x -30 = 5(19) -30 = 65

2x +27 = 2(19) +27 = 65

5 0
3 years ago
Is the rate of change of the function 5? help pls :')​
Scilla [17]

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Step-by-step explanation:

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7 0
3 years ago
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solmaris [256]

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b

Step-by-step explanation:

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x - 3 ≥ 0

3 0
2 years ago
What's a polygon with four unequal sides called?
maria [59]
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6 0
3 years ago
Read 2 more answers
20. Isosceles trapezoid LMNO has vertices L(-4,-3), M(-4,0), N(-2, 1),and O(-2,-4). If the figure is
kvv77 [185]

Answer:

L’M’ = 4.5 units

Step-by-step explanation:

We start by getting the dilated coordinates

we specifically work with the points LM

The dilated points can be obtained by multiplying the individual coordinates by 1.5

for L (1.5 * -4 and 1.5 * -3) = L’ (-6, -4.5)

M (-4,0) and ; (1.5 * -4 and 0 * 1.5) = M’ (-6,0)

Now, we can use the distance formula

D = √(y2-y1)^2 + (x2-x1)^2

D = √(0+ 4.5)^2 + (-6+6)^2

D = √(4.5)^2

D = 4.5 units

6 0
3 years ago
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