Answer:
Step-by-step explanation:
y-4=-2(x-8)
The triangles are similar by the AA similarity theorem, therefore, the answer is: (b) yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠r ≅ ∠s (alternate interior angles).
<h3>What is the AA Similarity Theorem?</h3>
If two angles in one triangle are said to be the same or congruent to two corresponding angles in another triangle, based on the AA similarity theorem, the two triangles can be proven to be similar triangles.
In the diagram given, we know that: angles QUR is congruent to angle TUS based on the vertical angles theorem.
We also known that, alternate interior angles, angles R and S are congruent.
This means that both triangles have two pairs of corresponding congruent angles. We can prove that they are similar to each other by the AA similarity theorem, therefore, the answer is: (b) yes, because ∠qur ≅ ∠tus (vertical angles) and ∠r ≅ ∠s (alternate interior angles).
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Answer:
<h2>(2)</h2>
Step-by-step explanation:
Because
not
This follows from the formula
Answer:
4/5 of an hour
Step-by-step explanation:
3/10 of an hour (60 minutes) equals 18 minutes
3/4 of 5 km equals 3.75 km
therefore, you can create a ratio of minutes over km equals min over km
let 't' = time
18/3.75 = t/10
cross-multiply to get this equation:
3.75t = 180
divide each side by 3.75 to get:
t = 48 minutes
48 minutes out of 60 minutes equals 4/5 of one hour