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olchik [2.2K]
3 years ago
5

The two triangles below are similar. What value of Q and B would make this true

Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0

Answer:

  • ∠B = ∠Q = 26°

Step-by-step explanation:

<u>The angles B and Q should be same, therefore:</u>

  • Q = 4x + 2 and B = 15x - 64

<u>The equation below as per above, solving for x:</u>

  • 4x + 2 = 15x - 64
  • 15x - 4x = 64 +2
  • 11x = 66
  • x = 6

<u>Then the angle measures:</u>

  • 4*6 + 2 = 26°

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A certain chalkboard manufacturer determines that their largest blackboard model has a mean length of 5.00 m and a standard devi
Igoryamba

Answer:

23 chalkboards

Step-by-step explanation:

Given:

Mean length = 5 m

Standard deviation = 0.01

Number of units ordered = 1000

Now,

The z factor = \frac{\textup{x - Mean}}{\textup{standard deviation}}

or

The z factor = \frac{\textup{4.98 - 5}}{\textup{0.01}}

or

Z = - 2

Now, the Probability P( length < 4.98 )

Also, From z table the p-value = 0.0228

therefore,

P( length < 4.98 ) = 0.0228

Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.

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3 years ago
What's the proper name of this quadrilateral?
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4 years ago
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He earns $37 for 4 hours and 64.75 for 7 hours. what is the constant of proportionality
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4 0
3 years ago
Which equation is true? I. (32 ÷ 8 – 2)6 = (32 – 1)2 II. 72 ÷ 9·4 = 62 ÷ (6 + 3) II only Neither I nor II I only I and II
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Step-by-step explanation: We are given two equations and we need to find which is true. Since it is a simple algebraic question, so we just need to follow BODMAS rule to check the equations.

The equations are as follows -  

(I)~~L.H.S=(\dfrac{32}{8}-2)6=(4-2)6=2\times 6=12.

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(II)~~L.H.S=\dfrac{72}{9\times 4}=2.

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Since L.H.S ≠ R.H.S, so this equation is also not correct.

Thus, the correct option is (b) Neither I nor II.


4 0
3 years ago
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