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kari74 [83]
3 years ago
14

The angle measurement in the diagram are represented by the following expressions.

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

x = 9 and ∠ B = 40°

Step-by-step explanation:

See the diagram given with the question first.

Here we have ∠ A = ∠ B {They are corresponding angles}

Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13

Hence, 5x - 5 = 3x + 13

⇒ 2x = 18

⇒ x = 9

Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)

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A company manufactures keyboards for desktop and laptop computers. The desktop keyboard contains 105 keys and the laptop keyboar
Luba_88 [7]

The company can produce 20 desktop keyboards and 10 laptop keyboards

Step-by-step explanation:

A company manufactures keyboards for desktop and laptop computers

  • The desktop keyboard contains 105 keys
  • The laptop keyboard has 90 keys
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We need to find how much of each type the company can produce

Assume that the company can produce x desktop keyboards and

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∵ The company can produce x desktop keyboards

∵ company can produce y laptop keyboards

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∵ The laptop keyboard has 90 keys

∵ The company has 3000 keys

- Write an equation to represent the total keys

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∵ The company needs to produce twice as many desktop keyboards

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- Divide both sides by 300

∴ y = 10

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Substitute the value of y in equation (2) to find the value of x

∵ x = 2(10)

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The company can produce 20 desktop keyboards and 10 laptop keyboards

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep
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<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

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As per given , we have

n = 15

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Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

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P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063

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ElenaW [278]

Answer:

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Answer:

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