25 degrees is the answer. CBE is supplementary to ABC. That means those two angles add up to 180 degrees.
The coordinates of △ABC△ABC are A(12,8), B(10,18), C(4,16)A(12,8), B(10,18), C(4,16). After a dilation, the coordinates are A'(6
mixer [17]
The scale factor is 1/2 because when you multiply the x and y-coordinates of each point by 1/2, you will get the coordinates of the new dilated points.
Answer:
(A) Complements of the same angle are congruent.
Step-by-step explanation:
Since, ∠CEF is complementary to ∠DCF, therefore
∠CEF+∠DCF=90° (1)
Also, ∠CEG=∠CEF+∠FEG
⇒90°=∠CEF+∠FEG (2)
Therefore, from(1) and (2), we get
∠CEF+∠DCF=90°
∠CEF+∠FEG=90°
Subtracting both the equations, we get
∠DCF-∠FEG=0
∠DCF=∠FEG.
Hence, ∠DCF≅∠FEG by the rule: Complements of the same angle are congruent.
Finding the rate of the weight gain, we divide the total weight gained with the total number of months that took to gain that weight.
Total time (months) = 0.5 + 2 + 3.5 = 6 months
Total weight (kg) = 80.6 + 88.4 + 96.2 = 265.2 kilograms
Rate = Kg ÷ Months
Rate = 265.2 ÷ 6 = 44.2
44.2 kilograms per month
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