How can this model be used to determine 2.4−0.15 ?

Enter your answers in the boxes.

The model shows a total of 2 wholes and 4 tenths. After regrouping 1 tenth into 10 hundredths, there are 2 wholes,
tenths, and [box]
hundredths. After crossing out 1 tenth and 5 hundredths, there are 2 wholes, [box]
tenths, and [box]
hundredths remaining. Therefore, the difference of 2.4 and 0.15 is [box]
. (25 points to the person who helps me with this question)

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)

the answer, i believe is y-8=1(x+4)

  b:   ∠x = 28.6°, ∠y = 31.2°, ∠z = 120.2°

step-by-step explanation:

this is one of those questions where "test taking skill" is all you need. the only answer that has angles that sum to 180° is the one shown above. the remaining choices do not describe the angles of a triangle.

if you want to do more work than simply adding the offered numbers, you can also check them against the law of sines. it should be true that

  x/sin(x) = y/sin(y) = z/sin(z)

and all of these ratios must be greater than 15, the longest side length.

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if you want to solve the triangle from scratch, i'd suggest solving for the largest angle using the law of cosines.

  z² = x² +y² -2xy·cos(z)

  z = arccos((x² +y² -z²)/(2xy)) = arccos(-75.11/149.4) = 120.182°

now you can find y from the law of sines

  y = arcsin(y/z·sin(z)) = 31.242°