10 POINTS!!! A truss bridge is shown with two parallel horizontal beams crossed by vertical and slanted beams.

Mathematics

1 answer:

Ugo [173]3 years ago

3 0

Answer:

x=40 °

Step-by-step explanation:

The two horizontal beams are parallel and the slanted beams make a traversal

Hence we use the basic properties of a transverse line making with two parallel lines.

please refer to the image attached to this answer.

The two angles described in the figure makes the alternate interior angles and this these two are congruent . Hence

x= 40°

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Using the given information, give the vertex form equation for each parabola.

ollegr [7]

Answer:

Step-by-step explanation:

If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,

$4p(y-k)=(x-h)^2$

where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:

$4(.25)(y+6)=(x-7)^2$