The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>
The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
Read more about rotation at:
brainly.com/question/7437053
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This is an exponential growth/decay problem...
F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:
F=I(1.03)^t and they just want to know when F=2I so
2=1.03^t take natural log of both sides...
ln2=t*ln1.03
t=ln2/(ln1.03)
t≈23.45
So it will take approximately 23.45 years for the population to double..
1990+23.45=2013.45
So during the year of 2013 the population will have double from its 1990 level.
Answer:
Step-by-step explanation:
Answer:
x
=
3
10
+
1
10
29
or
x
=
3
10
+
−
1
10
29
Since you know the triangles are congruent/equal, you know that:
m∠A and m∠X are congruent and have the same angle, and so does:
m∠B and m∠Y
m∠C and m∠Z
A triangle is 180°. (the 3 angles have to add up to 180) To find m∠B, you can do this:
m∠A + m∠B + m∠C = 180°
21° + m∠B + 35° = 180° Subtract 21 and 35 on both sides
m∠B = 124° your answer is C
