Match each cross section with its perimeter. a cross section parallel to the base of a right rectangular prism that is 10 inches long, 3 inches wide, and 14 inches high a cross section perpendicular to the base of a cube with 12-inch edges a cross section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 5 inches long, 12 inches wide, and 4 inches high and measures 13 inches along the diagonal of the base a cross section parallel to the base of a cube whose edges are 16 inches each

step-by-step explanation:

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percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4