help me plz 15 points

Answer:

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The measure of the exterior angle of the triangle is 114 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The measure of the exterior angle of the triangle can be found using exterior angle theorem.

Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence,

24 + 2x + 18 = 3x + 6

2x - 3x = 6 - 18 - 24

-x = -36

divide both sides of the equation by -1

x = 36

Hence,

exterior angle = 3x + 6 = 3(36) + 6 = 108 + 6 = 114 degrees

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The explicit rule for the sequence -2, 5, 12, 19 is

-2 + (n - 1) 7.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

-2, 5, 12, 19

This is an arithmetic sequence.

The first term.

a = -2.

The common difference.

d = 5 - (-2) = 7

= 12 - 5 = 7

= 19 - 12 = 7

Now,

The nth term of an arithmetic sequence.

= a + (n -1)d

= -2 + (n - 1)7

Thus,

The explicit rule is -2 + (n -1) 7.

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As a result, there is a 0.1863 chance, or 18.63% probability , that one of the 68 seniors who will graduate this year will graduate on their birthday.

fundamentals of probability A probability is a numerical representation of the likelihood or possibility of an event occurring. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.

Here,

The likelihood that one of the 68 seniors graduating this year will have their birthday coincide with graduation day is given here.

As a result, this issue can be modeled using a binomial probability model with a success chance of 1/365.

Given: The likelihood of exactly 1 success after 68 attempts.

=> P(x=1) = 68!/ (68-1)!  * 1/365

=>  68/365

= >  0.1863

As a result, there is a 0.1863 chance, or 18.63%, that one of the 68 seniors graduating this year will have their birthday coincide with the commencement.

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Answer:done

Step-by-step explanation:

Answer: I think it is B

Step-by-step explanation:

Sry if wrong pls don’t be mad

Answer:

Step-by-step explanation:

with raising an exponent to the power of another exponent all you need to do is multiply the exponents.

the base remains the same.

Answer:

B

Step-by-step explanation:

perpendicular is right angle

Answer:

Option B: 0.4

Step-by-step explanation:

We have 20 dots.

Such that each column represents the repetitions for each proportion.

So:

0.1 -> 3 times

0.2 -> 1 time

0.3 -> 4 times

0.4 -> 6 times

0.5 -> 3 times

0.6 -> 3 times

Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.

Remember that for a set of N values:

{x₁, x₂, ..., xₙ}

The mean is:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case we have the set of 20 points described above, then the mean is:

[tex]M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37[/tex]

Rounding to the first place after the decimal point, we get:

M = 0.4

Then the correct option is option B.

Answer:

40% of every gallon is from green paint.

Step-by-step explanation:

Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:

60 = 100

24 = X

24 x 100/60 = X

2,400 / 60 = X

40 = X

Therefore, 40% of every gallon is from green paint.

Answer: X = 121

Step-by-step explanation:

Because 180 degrees is a flat line, you subtract 59 from 180 to get the remaining angle values

Answer:

The answers is 2b+24=16

Step-by-step explanation:

Multiply using the distributive property can I please have a brainless thank you and have a good afternoon

Answer:

B= -4

Step-by-step explanation:

2 x -4 = -8

2 x 12 = 24

24 - 8 = 16

Answer:

21

3

108

Step-by-step explanation:

(V+ W)(10) = 12 + 9 = 21

(V-W)(10) = 12 - 9 = 3

(VW)(10) = 12 * 9 = 108

Answer:

8.79 in

Step-by-step explanation:

23 = 150/360 × 2×3.14× r

23 = 5/12 × 6.28 x r

23 = 31.4×r / 12

31.4 r = 23×12

31.4 r = 276

r = 276/31.4

r = 8.79 in

Answer:

[tex]\boxed {\boxed {\sf A. \ x=1}}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]3(x+6)=21[/tex]

We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.

(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.

[tex]\frac {3(x+6)}{3}=\frac{21}{3}[/tex]

[tex](x+6)=\frac{21}{3}[/tex]

[tex](x+6)=7[/tex]

Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.

[tex]x+6-6=7-6[/tex]

[tex]x=7-6[/tex]

[tex]x=1[/tex]

We can test our solution by plugging 1 in for x in the original equation.

[tex]3(x+6)=21[/tex]

[tex]3(1+6)=21[/tex]

[tex]3(7)=21\\21=21[/tex]

This checks out (21 is equal to 21) so we know our answer is x=1.

Answer:

Step-by-step explanation:

To solve this problem, you have to use the distributive property.

Isolate the x from one side of an equation.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

First, divide by 3 from both sides of an equation.

[tex]\dfrac{3(x+6)}{3}=\dfrac{21}{3}[/tex]

Solve.

21÷3=7

Rewrite the problem down.

x+6=7

Then, subtract by 6 from both sides.

[tex]\sf{x+6-6=7-6}[/tex]

Solve.

7-6=1

[tex]\Large\boxed{X=1}[/tex]

The solution is x=1, which is our answer.

Answer:

Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).

Label them as A and B (in any order).

Calculate the "rise" from A to B. While going vertically from A to B, if we have to go

"up", then the rise is positive;

"down", then the rise is negative.

Calculate the "run" from A to B. While going horizontally from A to B, if we have to go

"right", then the run is positive;

"left", then the run is negative.

Now, use the formula: slope = rise/run.

Therefore , the solution of the given problem of fraction comes out to be 4((2x)³ + (3y)³) /xy.

To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the fraction to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the exponent or population of a complicated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of a total number or item.

Here,

Given : 32x²/y + 108y²/x

=> (32x³+ 108y³ ) /xy

=>  4(8x³ + 27y³) /xy

=> 4((2x)³ + (3y)³) /xy

Therefore , the solution of the given problem of fraction comes out to be

4((2x)³ + (3y)³) /xy.

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The average speed of Sam's race car is equal to 20 kilometers per hour.

In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:

v = s / t

Where:

First, convert time into hours:

t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)

t = 0.529 h

Second, calculate the average speed:

v = (10.6 km) / (0.529 h)

v = 20.038 km / h

v = 20 km / h

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Answer:

1. [tex]\sqrt{7}[/tex]

2. The square root of an imperfect square

Step-by-step explanation:

A rational number is any number that can be written as a fraction (with the numerator and denominator being integers). All terminating and repeating decimals are rational.

The square root of an imperfect square is always irrational.

The price range for 75% of sales will be between $149,300 and $343,300.

The minimum percentage of observations falling within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous probability distributions can use this theorem. Also known as Chebyshev's Inequality, Chebyshev's Theorem.

Between $149,300 and $343,300 is where 75% of transactions are priced. Only 75% of the distribution's numbers must fall within two standard deviations for Chebyshev's theorem to hold, which makes it weaker than the proportion of numbers that are within two standard deviations of the mean.

Since the standard deviation given exists 48500, 2 standard deviations will be 2 × 48500 = 97000.

The lower limit will be 246300 - 97000 and the upper limit will be 246300 + 97000.

Lower limit = 246300 - 97000 = 149300

Upper limit = 246300 + 97000 = 343300

So 75% of the sales prices will be between $149,300 and $343,300

The complete question is:

The average sale price of new one-family houses in the United States for 2003 was $246,300. Using Chebyshev's theorem, find the range of values in which at least 75% of the sale prices will lie if the standard deviation is $48,500. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Please answer with whole numbers: ex. 55,232 to 65,450 with commas

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The volume of the cake Lani is making is 314 inches³.

Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:

V = πr²h/3

where V = volume

r = radius of the base of the cone

h = height of the cone

π = 3.14

If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.

Plug in the values to the formula and solve for the volume.

V = πr²h/3

V = (3.14)(5 inches)²(12 inches)/3

V = 314 inches³

Hence, the volume of the cake is 314 inches³.

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Answer:

The answer is B. 1/8

Step-by-step explanation:

Half of the garden is planted by seeds. The quarter of that half will be equal to 1/8 for the whole garden.

The slope of the line is 2.

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

From the line,

Coordinates are:(2, 4) and (4, 8)

Now,

(2, 4) = (a, b) and (4, 8) = (c, d)

Slope.

= (d - b) / (c - a)

= 8 - 4 / 4 - 2

= 4 / 2

= 2

Thus,

The slope of the line is 2.

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