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olga nikolaevna [1]
3 years ago
14

Someone please help me if efgh is a parallelogram what is the value of x

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0
The answer is C.37— following the picture, you know the blue angle and the green angles are supplements (add up to 180) so you add them and set them to 180 and solve. This solves out to be 37

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The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
Read 2 more answers
¿Se puede distribuir el exponente de una suma o una resta? ¿Y la raiz?
azamat
Si se puede distribuir el exponente de una suma porque si 2+3 elevado al 2 entonces el Raiz seria cuadrada de 19
6 0
2 years ago
Can you please show me how to calculate the volume for each prism?
larisa [96]

Answer:

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3rd = volume = area of base(triangle) x high = [sqrt(3)/4] x 14^2 x 20 = ~1697.4

8 0
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1hr 6min left because all you have to do is keep subtracting       
6 0
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here are the first four terms of a number sequence 2,5,11,23 the rule to continue this sequence is multiply thr previous term by
Inga [223]

Answer:

If it's the 5th sequence I would guess 2,5, and 11. Sorry if I'm wrong or if I misunderstood the question.

Step-by-step explanation:

3 0
3 years ago
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