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3 years ago

Help me out please first one with correct answer gets brainest

Mathematics

1 answer:

jeka943 years ago

5 0

Answer:

∠D = 13°

Step-by-step explanation:

∠A and ∠D are vertical angles and thus are congruent, hence

x - 2 = - 3x + 58 ( add 3x to both sides )

4x - 2 = 58 ( add 2 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

∠D = x - 2 = 15 - 2 = 13°

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the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers

anygoal [31]

Answer:

The three consecutive even integers are 4,6,8

Step-by-step explanation:

Let the three consecutive even integers be 2x, 2x+2, 2x + 4

Middle number = 2x +2

2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6

6x + 6 = 4*2x + 4*2 - 6

6x + 6 = 8x + 8 -6

6x + 6 = 8x + 2

6x - 8x = 2 -6

-2x = -4

x = -4/-2

x = 2

The three consecutive even integers are

2x = 2*2 = 4

2x+2 = 2*2 +2 =4 + 2 = 6

2x + 4 = 2*2+4 = 4+4 = 8

8 0

3 years ago

Please need help with this

kirill [66]

The best statement that describes the associations between variable X and variable Y is the first option, "no association."

6 0

3 years ago

The spinner is spun 300 times

Leona [35]

Answer:

A) 60

B) 0

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) since the purple never occured

P(purple) = 0

C) 1000 × (45/300)

150

3 0

3 years ago

Suppose that the waiting time for a license plate renewal at a local office of a state motorvehicle department has been found to

zysi [14]

The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

Given mean of 30 minutes and standard deviation of 7.5 minutes.

In a set with mean d and standard deviation d. , the z score is given as:

Z=(X-d)/s.

where d is sample mean and s is standard deviation.

We have to calculate z score and then p value from normal distribution table.

We have been given d=30, s=7.5

p value of Z when X=44 subtracted by the p value of Z when X=16.

When X=44,

Z=(44-30)/7.5

=14/7.5

=1.87

P value=0.9686

When X=16

Z=(16-30)/7.5

=-1.87

P Value=0.0314.

Required probability is =0.9686-0.0314

=0.9372

=93.72%

Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.

Learn more about z test at brainly.com/question/14453510

#SPJ4

7 0

2 years ago

Write an equation in general form for the line passing through (-12,-1) and perpendicular to the line whose equation is 6x-y-4=0

Rus_ich [418]

The Solution:

Given the equation of a line:

$6x-y-4=0$

We are required to find the equation of a line that is perpendicular to the given line and passes through the point (-12,-1).

Step 1:

Determine the slope of 6x-y-4=0.

$\begin{gathered} \text{ Express y in terms of x.} \\ 6x-4=y \\ y=6x-4 \end{gathered}$

The coefficient x, after making y the subject of the formula, is the slope of the given line. That is:

$\begin{gathered} \text{ The slope of }6x-y-4=0\text{ is 6} \\ \\ Slope=m_1=6 \end{gathered}$

Step 2:

Find the slope of the required line:

Since the two lines are perpendicular, the slope is:

$\begin{gathered} m_2=\frac{-1}{m_1}=\frac{-1}{6} \\ \end{gathered}$

Step 3:

Find the equation of the line that passes through point (-12,-1)

By formula,

$y-y_1=m_2(x-x_1)$

In this case,

$\begin{gathered} x_1=-12 \\ y_1=-1 \end{gathered}$

Substituting these values in the formula, we get the required equation is:

$\begin{gathered} y--1=\frac{-1}{6}(x--12) \\ \\ y+1=-\frac{1}{6}(x+12) \end{gathered}$

Cross multiplying, we get

$\begin{gathered} 6y+6=-x-12 \\ \\ 6y+x+6+12=0 \\ \\ 6y+x+18=0 \end{gathered}$

Therefore, the correct answer is:

$6y+x+18=0$

5 0

1 year ago