Coordinates of vertices of new triangle:
A´(0,0), B´(-12,0), C´(-6,12).
This transformation is dilatation, with the origin as the center of dilatation and the scale factor of the dilatation : s=3. A dilatation changes the size of a figure, while the shape of figure does not change.
Triangle A´B´C´ (image) is similar to triangle ABC (pre-image) because their corresponding angles are equal in measure and the ratio of their corresponding sides are in proportion (in attachment).
Answer:
Step-by-step explanation:
Given:
1cm = 85 km (on the map)
so map is
14 x 14 long or 85 x 85
Part A:
since the map is 14cm long, and the river is also 14 cm long, and each centimeter is equal to 85km, that means, =
14 x 85 = 1190km
<u><em>so the river is 1190km long</em></u>
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Part B:
we can use just convert 765 into map cm to get answer,
sooo
765/85 = 9cm
SO THERE YOU HAVE IT:D
Answer:
x = 3.5
Step-by-step explanation:
By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:
x + 8 = 3x + 1
8 = 2x + 1
2x = 7
x = 3.5
I think it's 100. You add all of the angles to =720. then solve for x. What you get for x, you plug into the equation for angle A and you should get 160-60=100.
2/5 x
----- = ----
100 2000
x=8