Answer: b) ΔADC ≡ ΔBCD by SAS
<u>Step-by-step explanation:</u>
Step 1: AD = BC SIDES are congruent
Step 2: ∠ADC ≡ ∠BCD ANGLES are congruent
Step 3: DC = DC SIDES are congruent
The proof is using Side-Angle-Side (SAS)
Look at the angles in step 2. These are the triangles you are proving congruency for: ΔADC ≡ ΔBCD
Trigonometry is the branch of mathematics that studies the relationship between the sides lengths and angles in a triangle.
<h3>What is trigonometry?</h3>
Your information is incomplete as the triangles aren't given. Therefore, an overview will be given.
It should be noted that trigonometry simply means the branch of mathematics that is concerned with angles and their application to calculation.
In this case, studies the relationship between the sides lengths and angles in a triangle. The there basic functions in trigonometry are sine, cosine, ad tangent.
Learn more about trigonometry on:
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<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.
<u>Let's calculate theor individual work rate</u> :
Felix's rate = 1/90
Oscar's rate = 1/120
Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360
<u>Time taken for both of the to decorate 8 dozens</u> :
Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes
<u>Hence, the time taken to decorate 16 dozens will be</u> :
(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).
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-6 ≥ 10 - 8x Subtract 10 from both sides
-16 ≥ -8x Divide by -8 to both sides
x ≥ 2 your answer is c