What is the equation of this line?

Answer:

x = 30 degrees

y = 67 degrees

z = 83 degrees

Step-by-step explanation:

Since x, y , and z are the angle measure for the first, second and third angle respectively, we can write the following equations following the statements given:

The sum of the measures of the angles of a triangle is 180:

(1)   x + y + z = 180

The sum of the measure of the second and third angle is five times the measure of the first angle:

(2)    y + z = 5 x

The third angle is 16 more than the second:

(3)    z = y + 16

Now we solve the system of three equations. We use the third equation to replace z in the second one:

y + (y + 16) = 5 x

then : 2 y = 5 x - 16;   then y = 2.5 x - 8

So , now we can replace this expression for y in the third equation:

z = (2.5 x - 8) +16 = 2.5 x + 8

and finally we made the replacements of y and z shown above in bold, in the first equation:

x + (2.5 x - 8) + (2.5 x + 8) = 180

x + 5 x = 180

6 x = 180

then x = 180/6 = 30 degrees

From this, we get the value of the other angles:

y = 2.5 (30) - 8 = 67 degrees

z = 2.5 (30) +8 = 83 degrees

Answer:

0.14583333333

Step-by-step explanation:

0.14583333333

Answer:

Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,

Step-by-step explanation:

Answer:

-3 plates

Step-by-step explanation:

Subtract 7 - 4 = 3. Since there are 7 FEWER plates then you add a negative sign in front of it.

Answer:

11.31 units

Step-by-step explanation:

Find the distance of line segments AB, BC, CD, AD using the distance formula.

Answer:

a)0.099834

b) 0

Step-by-step explanation:

To solve for this question we would be using , z.score formula.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.

a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.

Standard Deviation = √variance

= √0.16 = 0.4

Standard deviation = 0.4

Mean = 21.37

x = 20.857

z = (x-μ)/σ

z = 20.857 - 21.37/0.4

z = -1.2825

P-value from Z-Table:

P(x<20.857) = 0.099834

b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.

z score formula used = (x-μ)/σ/√n

x = 20.857

Standard deviation = 0.4

Mean = 21.37

n = 100

z = 20.857 - 21.37/0.4/√100

= 20.857 - 21.37/ 0.4/10

= 20.857 - 21.37/ 0.04

= -12.825

P-value from Z-Table:

P(x<20.857) = 0

c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.

Answer:

Jennifer is 15 and Zack is 6

Step-by-step explanation:

z+ (2z+3)=21

z+2z+3-3=21-3

z+2z=18

3z=18

3z/3=18/3

z=6

so plug 6 in for all the variables and their ages are

Zack-6

Jennifer-15

Step-by-step explanation:

this is the answer

in graph

please mark me as the brainliest I really need it

Answer:

6.7 * 10^7

Step-by-step explanation:

Answer:

205.599

Step-by-step explanation:

Answer:

205.599 yards

Step-by-step explanation:

1 meter = 1.09361 yards

Multiply 188 meters by 1.09361 yards

188 meters = (1.09361 yards) x (188 meters)

                   = 205.599 yards

Answer:

4/15

Step-by-step explanation:

total: 16 + 20 + 24 = 60

16 are blue

then:

the fraction of blue marbles:

16/60 = 4/15

Answer:

1/4

Step-by-step explanation:

25 goes into 100 four times

Answer:

24

Step-by-step explanation:

-12 x -2 = 24

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{24}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 12( - 2)}[/tex]

[tex] \dashrightarrow{ \sf{( - 12) \times ( - 2)}}[/tex]

Multiplying or dividing a negative integer by a negative integer gives a positive integer

i.e ( - ) × ( - ) = ( + )

( - ) ÷ ( - ) = ( + )

[tex] \dashrightarrow{ \boxed{ \sf{24}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

rational or racional

Step-by-step explanation:

$4.15n - ($250 + $2.45n)

Now that we have our expression, let's set it greater than or equal to 0

$4.15n - ($250 + $2.45n) >= 0

Let's simplify the left side.

$4.15n - $250 - $2.45n >= 0.

Combine like terms.

$1.7n - $250 >= 0

Add $250 to both sides.

$1.7n >= $250

Divide both sides by $1.7

n >= 148

You would need to make 148 light sabers to make a positive profit.

Answer: n - 10 ≤ 25

Step-by-step explanation:

We know that TV = TU + UV. Let's plug the values from the picture into our equation.

x + 25 = 9 + 2x + 28.

Let's combine like terms on the right side.

x + 25 = 2x + 37

Subtract 37 and x from both sides.

-12 = x

TV = x + 25 = -12 + 25 = 13

UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4

Answer:

.

Step-by-step explanation:

Answer:

0.439 in.

Step-by-step explanation:

This is a subtraction problem.

3.154 in. - 2.715 in. = 0.439 in.

Answer:

.439

Step-by-step explanation:

udnsksjdjxjxjxnxndndjdb pee

Answer:

[tex] \angle 1[/tex]

Step-by-step explanation:

[tex] \angle 1[/tex] is not congruent to [tex] \angle 6[/tex]

Answer:

1 7/8 cups

Step-by-step explanation:

This is a addition problem. You need to add three fractions, so you need a common denominator.

The LCD is 2, 4, and 8 is 8.

3/4 + 5/8 + 1/2 =

= 6/8 + 5/8 + 4/8

= 15/8

= 1 7/8

Answer: 1 7/8 cups

Answer:

2,500

Step-by-step explanation:

Answer:

pretty sure its B. The quotient is an integer

Step-by-step explanation:

Answer:

Noelle: 20 Dad: 54

Step-by-step explanation:

The age of Noelle's Dad is 6 less than 3 times Noelle's age looks like this:

d=3n-6

While the sum of their two ages is 74, looks like this:

n+d=74

The system is:

{d=3n−6

{n+d=74

Now, substitute the first equation into the second equation and solve for n.

n+(3n−6)=74

4n-6=74

Add 6 to both sides

4n=80

Divide both sides by 4

n=20 (<---- Noelle's Age!)

Now plug n into the second equation

d=3(20)-6

d=60-6

d=54 (<---- Noelle's Dad's Age!)

Answer:

14

Step-by-step explanation:

Perimeter= 99

XV+VW+WX=99

4z+3z+1+z+2=99

8z+3=99

8z= 96

z=96/8

z= 12

WX= z+2= 12+2= 14.

Hope it helps :-)

Answer:

Apparently i cant see the photo im am so sorry but do need pints.

Step-by-step explanation:

Answer:

option b & option c & option d

Step-by-step explanation:

option a: The left side   − 0.475  is not less than the right side  − 0.5 , which means that the given statement is false.

option b: The left side  − 0.3  is less than the right side  0.1 , which means that the given statement is always true.

option c: The left side  9.05  is greater than the right side  − 9.72 , which means that the given statement is always true.

option d: The left side  1.5  is equal to the right side  1.5 , which means that the given statement is always true.

Answer:

$85-$42-$17=$26

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Answer:

2000000

Step-by-step explanation:

20 x 100,000

Answer:

2000000 or 2×10^6

Step-by-step explanation:

[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]