Answer:
what is this laugage
Step-by-step explanation:
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices A(-6,-3), B(7,-7), and C(0,3) was dilated by a scale factor of 1.5, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
A(-6,-3) --- (-6*1.5,-3*1.5) --- A'(-9,-4.5)
B(7,-7) ---- (7*1.5,-7*1.5) ---- B'(10.5,-10.5)
C(0,3) ----- (0*1.5,3*1.5) ----- C'(0,4.5)
The coordinates of the triangle's image after a dilation with a scale factor of 1.5 are represented by the points A'(-9,-4.5), B'(10.5,-10.5), and C'(0,4.5).
9514 1404 393
Answer:
y = 12
Step-by-step explanation:
Triangles ABD and CBD are congruent, so DA = DC:
3y +6 = 5y -18
24 = 2y . . . . . . . . add 18-3y; next, divide by 2
12 = y
_____
<em>Additional comment</em>
In some variations of this question, you may be asked to solve for x. Since the angles are equal, you have ...
3x -1 = 34 -2x ⇒ 5x = 35 ⇒ x = 7 . . . (consistent with ∠ABC = 40°)
The quantity that is present after 2000 years will be A. 7.851 grams.
<h3>How to calculate the quantity?</h3>
From the information given, initially at t = 0, the quantity is 10 grams.
After 2000 years, the appropriate quantity will be:
Q(2000) = 10 (1/2) × (2000/5730)
Q(2000) = 7.851 grams.
In conclusion, the correct option is A.
Learn more about quantity on:
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He starts out with 150.
150+ 50+200
200-20=180
180+75= 255
255-100= 155
After all the transactions, he had $155.