Find h in the diagrams below.

Step-by-step explanation:

It is useful to label the diagram so we can talk about the parts. (See the attachment.)

AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.

This similarity means that corresponding sides are proportional:

  CE/CD = DF/DA

  CE = CD(DF/DA) = 16(6/10) = h

  h = 9.6

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The second problem is identical to the first, but with different numbers.

  CE = CD(DF/DA) = 14(8/10) = h

  h = 11.2

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation:

in english this is

ex.15 pag.85 create. write in ten lines the continuation of the ballad of the five motanasi, using verbs to the imperfect and to the perfect compound. five stars

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