ANSWER:
x = 5
The value of ( x ) is equivalent to 5.
STEP-BY-STEP EXPLANATION:
Testing triangle AHD is congruent to triangle CHD -
Angle ADH = Angle CDH ( given )
Side AH = Side CH ( given )
Angle AHD = Angle BHC = 90° ( equal vertically opposite angles )
Angle CHD = 180° - Angle AHD = 180° - 90° = 90° ( supplementary angles on a straight line )
Angle AHD = Angle CHD = 90°
Angle DAH = Angle DCH ( angle sum of a triangle )
Therefore, triangle AHD is congruent to triangle CHD.
As triangle AHD is congruent to triangle CHD, we can do the following:
AD = 2x - 3
CD = x + 2
AD = CD
THEREFORE:
2x - 3 = x + 2
2x - x = 2 + 3
x = 5
We need to know wat it looks like
Answer: 110°
<u>Step-by-step explanation:</u>
∠A ≅ ∠B
since ∠A = 35° (given), then ∠B = 35°
Use the Triangle Sum Theorem to find ∠C:
∠A + ∠B + ∠Q = 180°
35° + 35° + ∠Q = 180°
70° + ∠Q = 180°
∠Q = 110°
The central angle (∠AQB) ≅ arc AB
since ∠AQB = 110° (solved above), then arc AB = 110°
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:

cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:


At C'(x) = 0




x = 25


where; x = 25

C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.