The coach took a digital photo of the new cycling team bike. She sent a 4 cm-by-6 cm photo to each team member.
1. If the photo were enlarged to 150% of its original size, what would be its new length (long side)?
9
2. Suppose you want to make a 2 cm-by-3 cm copy of the original photo.
What percent should you use?
50%
3. What will be the measurement for each angle in the smaller photo?

1. 9 cm

2. 50%

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

Step-by-step explanation:

1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.

2. 2 is 50% of 4 and 3 is 50% of 6.

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.