can someone help me to solve this question. the questions is about to calculate the value of x . please help me thankyou
2 answers:
Answer:
Step-by-step explanation:
AC = AD So, Δ ACD is as isosceles triangle.
∠ADC ≅∠ACD = 63°
In ΔACD ,
63 + 63 + ∠DAC = 180 {Angle sum property of triangle}
126 + ∠DAC = 180
∠DAC = 180- 126
∠DAC = 54°
In ΔABC,
90+ 37 + ∠CAB = 180
127 + ∠CAB = 180
∠CAB = 180 - 127
∠CAB = 53
∠EAD + ∠DAC + ∠CAB = 180 {Straight line angles}
x + 54 + 53 = 180
x + 107 = 180
x = 180 -107
x = 73°
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Answer:
Number of panels produced by Plant B is 8,000.
Step-by-step explanation:
The number of panels produced by Plant A = 16,000
The number of defective panels from A = 5%
Now, 5% of 16,000 =
So, out of 16,000 panels produced by pant A , 800 are defective. .. (1)
Let us assume number of panels produced by Plant B = m
The number of defective panels from B = 2%
Now, 2% of m =
So, out of total m panels produced by pant B , 0.02 m are defective. .. (2)
Now, total panels produced over all = Panels by A + Panels by B
= 16,000 + m
The percentage of defected panels over all = 4%
Now, 4% of (16,000 + m) =
Also, the total number of defective panels = Defective from A + Defective from B
⇒(0.04)(16,000 + m) = 800 + 0.02 m from (1) and (2)
or, 640 + 0.04 m = 800 + 0.02
or, 0.02 m = 160
⇒ m = 160 /0.02 = 8,000
or, m = 8,000
Hence, Number of panels produced by Plant B is 8,000.