Three boys cut out hundredths decimal models. Luke shades three fourths of one model. Owen shades four small squares of one model. Jacob shades two full models and nine tenths of another model. What decimal represents the amount each boy shades?

Step-by-step explanation:

Given

Model: Hundredth decimal

Required

Determine the decimal equivalent of each boy

There are 100 squares in a hundredth decimal model

Each of the square as a value of 1/100

For Luke:

This implies that

Multiply this by 1/100

For Owen:

Multiply this by 1/100

For Jacob:

Add  both numbers (Take LCM)

Multiply by 100 to get the actual number of squares

Multiply by 1/100 to get the decimal equivalent

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

13cm

step-by-step explanation:

(apex)