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emmainna [20.7K]
2 years ago
10

What is the measure of the missing angle? 90° 600 7.

Mathematics
1 answer:
RideAnS [48]2 years ago
4 0

Answer:

30°

Step-by-step explanation:

Let the measure of the missing angle be x°

Therefore, by interior angle sum postulate of a triangle:

x + 60° + 90° = 180°

x + 150° = 180°

x = 180° - 150°

x = 30°

Thus the measure of the missing angle is 30°.

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3 years ago
5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (
chubhunter [2.5K]

Answer:

  • a) $56000
  • b) DA = 2, GA = 10

Step-by-step explanation:

<u>Given</u>

  • DA = A + B ⇒ $3000
  • GA = A + 2B ⇒ $5000
  • Number of A = 12
  • Number of B = 22

<u>We can see from the equations that</u>

  • GA - DA = B ⇒ $2000 and
  • A = $1000 and B = $2000 in terms of profit

<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>

  • A + B = 12
  • A + 2B = 22

Is the equation set to indicate use of the units A and B

<u>Solving we get </u>

  • A = 2 and
  • B = 10

<u>It this case all the units are used and profit is maximum</u>

  • 2*$3000 + 10*$5000 = $56000
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8 0
3 years ago
Point P is the interior of LaTeX: \angle OZQ.\:∠ O Z Q .If LaTeX: m\:\angle\:OZQ\:m ∠ O Z Q= 125 and LaTeX: m\angle OZP\:m ∠ O Z
saw5 [17]

Answer:

<h2>∠PZQ = 63°</h2>

Step-by-step explanation:

If point P is the interior of ∠OZQ , then the mathematical operation is true;

∠OZP +  ∠PZQ =  ∠OZQ

Given parameters

∠OZQ = 125°

∠OZP = 62°

Required

∠PZQ

TO get  ∠PZQ, we will substitute the given parameters into the expression above as shown

∠OZP +  ∠PZQ =  ∠OZQ

62° +  ∠PZQ = 125°

subtract 62° from both sides

62° +  ∠PZQ - 62° = 125° - 62°

∠PZQ = 125° - 62°

∠PZQ = 63°

<em>Hence the value of ∠PZQ  is 63°</em>

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2 years ago
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