Determine whether the triangles are similar. or not.
1 answer:
Answer:
A
Step-by-step explanation:
We know that ∠ ≅ ∠
because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠
and ∠
as they have different measures, so we'll have to find the measure of either ∠
or ∠
. Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is
°, we know that
∠
°. Now, we know that ∠
≅ ∠
because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by
. Hope this helps!
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Answer:
C) v≤-5
Step-by-step explanation:
Divide each side by 4,
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be
where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by
where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)