Factor - 3 out of -9x + 12

Please help with this question with steps I'll give brainliest! Thanks

harina [27]

Answer:

∠ 1,3,5,7 = 32°

∠2,4,6,8,= 148°

Step-by-step explanation:

From the figure attached,

AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.

Since, m∠1 = 32°,

∠1 and ∠4 are supplementary angles [Linear pair of angles]

m∠1 + m∠4 = 180°

32° + m∠4 = 180°

m∠4 = 180° - 32°

m∠4 = 148°

therefore,

m∠1,3,5,7 = 32°

m∠2,4,6,8,= 148°

6 0

3 years ago

Which of the following is the correct way to find the distance between the points (2,0) and (3,5)

Verdich [7]

The distance formula is d=sqrt(x2-y2)^2+(x1-y1)^2. plug it in and get the answer

8 0

3 years ago

If tan x =3/4, and 0

jasenka [17]

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract

x

from inside the tangent.

x

=

arctan

(

3

4

)

Evaluate

arctan

(

3

4

)

.

x

=

0.6435011

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from

π

to find the solution in the fourth quadrant.

x

=

(

3.14159265

)

+

0.6435011

Simplify the expression to find the second solution.

Tap for more steps...

x

=

3.78509376

Find the period.

Tap for more steps...

π

The period of the

tan

(

x

)

function is

π

so values will repeat every

π

radians in both directions.

x

=

0.6435011

+

π

n

,

3.78509376

+

π

n

, for any integer

n

Consolidate the answers.

x

=

0.6435011

+

π

n

, for any integer

n

6 0

3 years ago

Solve the following quadratic equation. d²-5d+6=0

natima [27]

Answer:

$d=2$ and $d=3$

Step-by-step explanation:

$d^2-5d+6=0$

$(d-2)(d-3)=0$

$d=2$ and $d=3$

3 0

3 years ago

Read 2 more answers

Imagine that you have entered the following distribution of scores into the program: 7, 9, 6, 3, 7, 8, 4, 10, 7, 9. The mean of

ozzi

Answer:

3

Step-by-step explanation:

Mean refers to the average value of the set of data.

It is the central value of the set of data.

Another word for Mean is average.

Given scores:7, 9, 6, 3, 7, 8, 4, 10, 7, 9

Solution:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 4+ 10+ 7+ 9=70$

Number of observations = 10

Mean = Sum of observations/Number of observations = $\frac{70}{10}=7$

If observation 3 is removed:

Sum of observations = $7+ 9+ 6+ 7+ 8+ 4+ 10+ 7+ 9=67$

Number of observations = 9

Mean = Sum of observations/Number of observations = $\frac{67}{9}=7.44$

If observation 4 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 10+ 7+ 9=66$

Number of observations = 9

Mean = $\frac{66}{9}=7.3$

If observation 6 is removed:

Sum of observations = $7+ 9+ 3+ 7+ 8+ 4+ 10+ 7+ 9=64$

Number of observations = 9

Mean = $\frac{64}{9}=7.1$

If observation 7 is removed:

Sum of observations = $9+ 6+ 3+ 8+ 4+ 10+ 9=49$

Number of observations = 7

Mean = $\frac{49}{7}=7$

If observation 8 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 4+ 10+ 7+ 9=62$

Number of observations = 9

Mean = $\frac{62}{9}=6.9$

If observation 9 is removed:

Sum of observations = $7+ 6+ 3+ 7+ 8+ 4+ 10+ 7=52$

Number of observations = 8

Mean = $\frac{52}{8}=6.5$

If observation 10 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 4+ 7+ 9=60$

Number of observations = 9

Mean = $\frac{60}{9}=6.7$

Therefore, mean of this distribution of scores would be changed the most if a score 3 was removed from the data set.

6 0

4 years ago