Triangle ABC has vertices A(–2, –3), B(–5, –3), and C(–4, –2). The triangle is rotated 90° counterclockwise around the origin.
2 answers:
The answer is the option B: A'(3, -2), B'(3, -5), C'(2, -4).
The explanation is shown below:
1. You must apply the following rule of rotation when the figure is rotated 90° counterclockwise around the origin:
→
2. Then, as you can see, you must switch and
and multiply
by -1.
3. Keeping this on mind, you have that the vertices of the triangle A'B'C' are the following:
A(-2,-3)→A'(3,-2)
B(-5,-3)→B'(3,-5)
C(-4,-2)→C(2,-4)
4. Therefore, you can conclude that the answer is the option B.
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Answer:
B
Step-by-step explanation:
Two events A and B are called independent, when
where is the probability that B occurs given that A has already occurred.
A = randomly selected person is a student
B = randomly selected person prefer "Vikings"
B|A = randomly selected student prefer "Vikings"
Probabilities:
Since
we can state that events are not independent.
Answer:
m∠ADC = 132°
Step-by-step explanation:
From the figure attached,
By applying sine rule in ΔABD,
sin(∠ADB) =
= 0.74231
m∠ADB =
= 47.92°
≈ 48°
m∠ADC + m∠ADB = 180° [Linear pair of angles]
m∠ADC + 48° = 180°
m∠ADC = 180° - 48°
m∠ADC = 132°