A grocery store recently sold 12 cartons of yogurt, of which 2 were peach. if the store sells 18 cartons of yogurt tommorrow, pr
1 answer:
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Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Given that there is no any option to choose I am going to help you according to the concepts of Congruent Triangles. Two triangles are congruent if and only if:
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:
<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and
<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:
<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>
<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:
<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and
<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:
<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>
<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
Answer:
Step-by-step explanation:
Two Tangent Theorem: Tangents which meet at same point are equal in length.
Here tangents at J and H meet at I.