To solve this problem, we need to know that the adjacent interior angles (2 and 5, or 3 and 4) between two parallel lines are supplementary.
This means that ∠2+∠5 = 180 °
which means
x+50 + 4x+30 = 180
collect similar terms and solve
5x + 80 = 180
5x = 180-80 = 100
x=20 °
∠2 = x+50 = 20+50 = 70 °
But ∠ 1 = ∠ 2 (vertical angles)
therefore
∠ 1 = 70 °
<span>−12x3y5 − 9x2y2 + 12xy3</span>
-3xy^2(4x^2y^3+3x-4y)
The percent increase is 48.28
Step-by-step explanation:
Given,
Purchase price of used-droid = $2900
Selling price of used=droid = $4300
Profit = Selling price - purchase price
Profit = 4300-2900 = $1400
Percent increase = ![\frac{Profit}{Purchase\ price}*100](https://tex.z-dn.net/?f=%5Cfrac%7BProfit%7D%7BPurchase%5C%20price%7D%2A100)
![Percent\ increase=\frac{1400}{2900}*100\\\\Percent\ increase=\frac{140000}{2900}\\\\Percent\ increase=48.275\%](https://tex.z-dn.net/?f=Percent%5C%20increase%3D%5Cfrac%7B1400%7D%7B2900%7D%2A100%5C%5C%5C%5CPercent%5C%20increase%3D%5Cfrac%7B140000%7D%7B2900%7D%5C%5C%5C%5CPercent%5C%20increase%3D48.275%5C%25)
Rounding off to nearest hundredth;
Percent increase = 48.28%
The percent increase is 48.28
Keywords: percentage, subtraction
Learn more about percentages at:
#LearnwithBrainly
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
So are you trying to simplify one side to get it to look like the other?