3. In the figure, m/_ 2 = 92, and m/_12 = 74. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.

/_13

a. 106, vertical angles
b. 74, alternate interior angles
c. 106, supplementary angles
d. 74, consecutive interior angles​

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

Answer:

A2: 55

A1: 99-55+x:180

X:26

Judy scored 45 points in the board game.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

In a board game,

Judy scored 5 points, more than twice the number of points Ann scored.

If Judy scores x points and Ann scores y points,

that means,

x = 2y + 5

x - 2y = 5.   {equation 1}

There was a total of 65 points scored.

x + y = 65  {equation 2}

Subtract the equation 2 to equation 1,

we get,

-3y = -60

y = 20

Then, x = 45.

Therefore, 45 points Judy scored.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.

Answer:

Step-by-step explanation:

Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]

From  the graph attached,

A point (1, 60) lies on the line shown in graph.

At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                [tex]=\frac{60-0}{1-0}[/tex]

                                                = 60 miles per hour

But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.

So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.

(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])

Answer:

d = - 1/5

Step-by-step explanation:

slope form: m= y2-y1/x2-x1

m= -5-(-7)/-6-4

m= 2/-10

m= - 1/5

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer:A

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Answer: -4 is correct

Step-by-step explanation:

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

Answer:

8 im pretty sure

Step-by-step explanation:

Answer: B: WX

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

25.4-23.8=1.6

25.4+1.6=27

For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!

Answer:

0.8

Step-by-step explanation:

Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8

Answer:

y-intercept:  ( 0 , − 3 )

x-intercept:  ( 3 7 , 0 )

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

A metre is 100cm, thus

20cm/100cm= 1/5

Answer:

7

Step-by-step explanation:

part B is the correct answer

Answer:

B) 7

Step-by-step explanation:

f(x)=2(3)+1

2(3)=6

6+1=7

she me he sid sud iebe Howie

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Answer: 13.B

  14.B

15.C

16.A

17.D

18.A

Step-by-step explanation:

Answer:

(3,9)

Step-by-step explanation:

Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.

(2+1, 5+4)

(3, 9)

Answer:

32.8

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )

89.2 + x = 122 ( subtract 89.2 from both sides )

x = 32.8

Thus the fourth number is 32.8

Answer:

tsp of red food coloring = 25

Step-by-step explanation:

Red food coloring = 5 tsp

Blue food coloring = 3 tsp

Red food coloring : Blue food coloring = 5 tsp : 3 tsp

Blue food coloring = 15 tsp

how many tsp of red food coloring would you use to get the same recipe of frosting ?

Let

x = tsp of red food coloring

Red food coloring : Blue food coloring = x tsp : 15 tsp

Equate the ratios to find x

Red food coloring : Blue food coloring

5 tsp : 3 tsp = x tsp : 15 tsp

5 / 3 = x / 15

Cross product

5 * 15 = 3 * x

75 = 3x

Divide both sides by 3

x = 75 / 3

= 25

x = 25 tsp

tsp of red food coloring = 25

Answer:

Even

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Slope is the change in y over the change in x so:

(7 -5) /(6-2) = (2)/(4) = 1/2

Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48