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mestny [16]
3 years ago
8

What is 8x+5 equal to?

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Answer:

13x

Step-by-step explanation:

8+5 =13 and you keep the x

101010101010101010101010

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What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
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Answer:

Cross section is a rectangle.

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Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH  ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

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justified by (1), congruent top and bottom faces  

Consider cross-section ACHE

AC is congruent and parallel to  EH   (1) & (3)

EA & HC are perpendicular to AC      (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2)  ..........pythagoras theorem

AE = CH = DG = 4      properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

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3 years ago
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