z = 37°
Step-by-step explanation:
The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle
In this case the sum of z and z+4 will be equal to z+41
Writing mathematically
Hence
z = 37°
Keywords: Angles, Triangles
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Answer:
<h2>The diagonal of the volumetric figure is 7 units long.</h2>Step-by-step explanation:
The figure is attached.
Notice that the dimensions of the prism are
First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.
Let's use the Pythagorean's Theorem
This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.
Let's use again Pythagorean's Theorem
Therefore, the diagonal of the volumetric figure is 7 units long.
