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Anton [14]
2 years ago
14

Need help please anyone

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

9514 1404 393

Answer:

  A) The angles marked ∠7 and ∠8 are vertical angles.

  B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

  C) y = 24; ∠7 = ∠8 = 89°

Step-by-step explanation:

A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.

__

B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

__

C) (5y-29)° = (3y+19)°

  2y = 48 . . . . . . . . . . . . divide by °, add 29-3y

  y = 24 . . . . . . . . . divide by 2

Angles 7 and 8 are supplementary to the angles marked with expressions in y.

  ∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°

  ∠7 = ∠8 = 89°

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I really don't understand this. Would someone please send me on how to do this along with the answers?
patriot [66]
Easiest way:

Look at A and C. To get from A to C you need 6 steps to the right and 2 steps upwards. 
Slope means (in layman's terms) that how many steps you take upwards when you take 1 step to the right. 
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A slope of 4 would mean that 1 step to the right is followed by 4 steps upwards. A slope of -5 means 1 step to the right, 5 steps downwards.

To get from A to E you need 9 steps to the right and 3 steps upwards. This means a 3/9 slope. The simplest form of it is 1/3. 
1/3 slope means that for every 3 steps to the right you take 1 step upwards. 

I hope this was understandable, this is how they taught me this in 5th grade more than a decade ago. 
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3 years ago
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Hunter-Best [27]

Answer:

Step-by-step explanation:

for missing angle of triangle ABC

let the missing angle be y

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What is the missing length??
amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

(15 + x) : (12 + 8) = x : 8

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Convert to fraction

\frac{15 + x}{20} = \frac{x}{8}

Cross Multiply:

(15 + x)*8 = 20 * x

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4 0
3 years ago
In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was nor
Alenkinab [10]

Answer:

0.0918

Step-by-step explanation:

We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The mean and standard deviation of average spending of sample size 25 are

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We have to find P(Xbar>102.5).

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P(Xbar>102.5)=0.0918.

Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.

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3 years ago
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