Ivy is running errands for her mother. She bikes along straight paths to the supermarket, the bank, and then back home.Find the
1 answer:
The distance between Ivy's house and the supermarket and the distance between the supermarket and the bank:
H&S = 1,014 M; and S&B = 854m. This is resolved using the Sine Theorem.
Notice that the Angles of a Triangle add up to 180° That is
∠A + ∠B + ∠C = 180°
Thus,
∠C = 180° - 32° - 109°
= 39°
Recall the Sine Theorem which indicates;
a/SinA = b/SinB = c/SinC
thus given that
AC = 1,523m
We have
AC/SinB = BC/SinA
BC = AC/SinB * SinA
= 1523/Sin109° * Sin32°
BC =854m
Therefore
AC/SinB = AB/SinC
Thus,
AB = AC/SinB * SinC
= 1523/Sin109° * Sin39°
AB ≈ 1,014m
Learn more about the Sine Theorem at;
brainly.com/question/27174058
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Answer:
Step-by-step explanation:
You were right!
If we want to transform figure ABCD onto figure A'B'C'D', we need to note that no dilation/rotation/reflection is needed. They're just units apart.
Let's focus on a specific point, as when we move that the whole figure will too.
Let's do B/B'.
We can see that in figure ABCD, point B is at (1, -1). On A'B'C'D', point B' is at (-1, 3).
Lets first change the x values.
What we need to ask is - what's the distance from 1 to -1? We know that from 1 to 0 is 1 point and from 0 to -1 is another 1 point. So, 1+1 = 2. It's a 2 point difference to a smaller number. So we move left.
Same logic applies for y values. What's the difference from -1 to 3? From -1 to 0 is 1 unit, and from 0 to 3 is 3 units. So, the difference is 4 units upwards.
So, 2 units left and 4 units up.
Hope this helped!