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3 years ago

Please help!! I will mark the brainlest if it’s correct

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

Therefore

m Angle 1 = m Angle 2 = 31° ...Justified

Step-by-step explanation:

Given:

m angle 1 = ( 3x + 10 )°

m angle 2 = ( 5x - 4 )°

To Find:

m∠1 = ?

m∠2 = ?

Solution:

Vertical Angles:

The angles opposite each other when two lines cross. They are always equal.

∴ m Angle 1 = m Angle 2

Substituting the given values we get

$3x+10=5x-4\\\\2x=14\\\\x=\dfrac{14}{2}=7\\\therefore x =7$

Substituting ' x ' in Angle 1 and Angle 2 we get

m Angle 1 = 3 × 7 + 10 = 31°

m Angle 2 = 5 × 7 - 4 = 31°

Therefore

m Angle 1 = m Angle 2 = 31° ...Justified

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I have no clue why it is making me do this

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Answer:

Option B) The simplification performed in step 2 is invalid or incorrect

The value of w in the given expression is -54

Step-by-step explanation:

Option B) The simplification performed in step 2 is invalid or incorrect

The corrected steps are given below :

GIven expression is $w+xy+3x^2=2$ and x=2y

To find w when y=-2 :

Step 1: I first substitute y=-2 into x=2y yielding x=2(-2)

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3 years ago

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Step-by-step explanation:

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3 years ago

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Common denominator
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Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(d) Confidence Interval = (6.3, 7.9)

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Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

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The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

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$\frac{\alpha}{2} = 0.05$

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This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

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$E = \frac{1.960 *5}{12.25}$

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Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

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We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

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