Look at the diagram showing intersecting lines below.

Write the measures of the three missing angle measures. You do not need to type the degrees sign in your answer.

Answer:

Total sum of the sides = Sum of sides of triangle + Sum of sides of quadrilateral.

So, overall expression for the sides of the envelop containing triangle and quadrilateral will be:

3t + 4q

Step-by-step explanation:

So, in an envelope, we have a triangle as well as a quadrilateral.

There will be  three sides of a triangle present in the envelop and there will be 4 sides of quadrilateral.

let's suppose that, t showcase the sides of a triangle in the envelope and q showcases the sides of quadrilateral in the envelope.

Total sum of the sides = Sum of sides of triangle + Sum of sides of quadrilateral.

So there is one triangle and one quadrilateral.

Hence, expression of the sides of the triangle will be:

3 sides = t+t+t = 3t

And, expression for the sides of the quadrilateral will be:

4 sides = q +q + q +q = 4q

So, overall expression for the sides of the envelop containing triangle and quadrilateral will be:

3t + 4q

The building is approximately 19.1 meters tall.

We have,

Let's call the height of the building "h".

From the person's perspective,

The building and the ground form a right triangle.

Let's call the distance between the person and the building "d".

Using trigonometry.

tan(66°) = h / d

And

tan(21°) = (h - 2) / d

We can rearrange the first equation.

d = h / tan(66°)

We can rearrange the second equation.

d = (h - 2) / tan(21°)

Since both expressions for "d" must be equal, we can set them equal to each other:

h / tan(66°) = (h - 2) / tan(21°)

Now we can solve for "h":

h = (2 tan(66°) tan(21°)) / (tan(66°) - tan(21°))

h ≈ 19.1 meters

Therefore,

The building is approximately 19.1 meters tall.

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The number of individuals in the sample, n = 31

A one-sample (or one mean) t-test is applied to test whether the population-parameter is significantly different from some hypothetical value.

The degrees of freedom of the t-test, df = n – 1

Given,

The degrees of freedom of the t-test, df = 30

We have to find the sample size, n = df + 1

Therefore, the number of individuals in the sample:

n = df + 1

  = 30 + 1

  = 31

That is, the number of individuals in the sample, n = 31.

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Answer:

Yes they are. “X” is basically 1x becuase if you multiply 1 by x its still x. So they are like terms, if you combine them you’ll get 6x becuase 5x+x=6x

Brass is an alloy of copper and zinc with a density of approximately 8.5 g/cm³. In addition, brass is a malleable and ductile metal that can be bent, stretched, and compressed without breaking. The sphere's volume can be reduced using a minimum pressure of 12,750 Pa.
First, let us comprehend the formula used in this case: Percentage decrease in volume = (change in volume/original volume) x 100. Now, we will obtain the change in volume.
Change in volume = (percentage decrease in volume/100) x Original volume
Here, percentage decrease in volume = 0.00003 %

Original volume can be derived from the formula of the volume of a sphere, which is:
V = 4/3πr³
As a result, the following is the equation for the original volume:
V = 4/3 π (d/2)³ = πd³/6
Where d is the diameter of the brass sphere.
Now we can find the change in volume:
Change in volume = (0.00003/100) x πd³/6
The change in volume is calculated to be 0.00000157πd³.
According to the formula of pressure, pressure = force/area, we can find the force necessary to decrease the volume by the required percentage using the Young’s modulus of brass, which is approximately 91 GPa (gigapascals) or 91 × 10⁹ Pa (pascals).
So, we can write:
Force = Young's modulus x (Change in volume/Original volume) x (Original diameter)²/4
Thus, the force needed to decrease the volume of the sphere is as follows:
F = 91 × 10⁹ x (0.00000157πd³) / (πd³/6) x (d/2)²
F = 3.53 × 10⁷ d² N
Finally, we can find the minimum pressure required to reduce the volume by dividing the force by the surface area of the sphere.
Minimum pressure = F/ Surface area of the sphere
= F/(4πr²)
= 3.53 × 10⁷ d²/ (4π (d/2)²)
= 12,750 Pa approximately
Therefore, the sphere's volume can be reduced using a minimum pressure of 12,750 Pa.

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Jeff's savings account, which earns simple interest, has a total amount of 10,405.2 today after 2 years.

Simple interest is given by the formula:

SI = PTR/100

Where SI = simple interest

P = principal

R = interest rate (in percentage)

T = time duration (in years)

If he deposited 8700 into the account 2 years ago and earns interest at a rate of 9.8%, then using the formula, the amount of interest earned can be determined.

SI = PTR/100

SI = 8700(2)(9.8)/100

SI = 1705.2

To get the total amount on his account, add the interest earned to the principal amount he deposited.

total amount = 8700 + 1705.2

total amount = 10,405.2

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Answer: B

Step-by-step explanation:

If the angles were not the same, the shape would not join or close

Answer:

27

Step-by-step explanation:

substitute the given value into the function and evaluate

The limit from the left and the right are not equal, limx→−1f(x) does not exist.

The given piecewise function is:

f(x) =

2x^2 − 3x − 2, if x ≤ -1

−x^2 + 2x + 1, if -1 < x < 2

−2x^2 − x − 1, if x ≥ 2

To evaluate limx→−1f(x), we need to find the limit of the function as x approaches -1 from both the left and the right sides.

From the definition of the piecewise function, we can see that the middle piece of the function is undefined at x = -1, so we cannot use that piece to evaluate the limit at this point.

However, we can evaluate the limits of the other two pieces. For x ≤ -1, the limit is:

limx→-1- f(x) = limx→-1- (2x^2 − 3x − 2) = 3

For x ≥ 2, the limit is:

limx→-1+ f(x) = limx→-1+ (−2x^2 − x − 1) = -2

Since the limit from the left and the right are not equal, limx→−1f(x) does not exist.

In calculus, finding the limit of a function is an important concept. The limit of a function is the value that the function approaches as its input approaches a particular value or point. In this problem, we are asked to evaluate the limit of a piecewise function at a specific point.

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Caitlyn would need to know the population size of Montana in order to predict how many babies will be born this year in the state.

In order to predict how many babies will be born this year in Montana, Caitlyn needs to have access to the population size of Montana. The total fertility rate for Montana is 1.73, which is the average number of children a woman can expect to have throughout her lifetime. Knowing the population size of Montana will allow Caitlyn to have a better understanding of how many babies are likely to be born this year, as this number is directly correlated to the total fertility rate. By having access to both the population size and the total fertility rate, Caitlyn will be able to make a more informed prediction about the number of babies that will be born this year in Montana.

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Answer:3

Step-by-step explanation: .03 X 10

Answer: It would be a constant.

Step-by-step explanation: Its constant because the feet are always 3x as much as the yards.

The small capillaries have diameters that range between 5 and 10 micrometers, which is about the size of a single red blood cell

The small capillaries have diameters that range between 5 and 10 micrometers, which is about the size of a single red blood cell. Capillaries are the smallest blood vessels in our circulatory system, responsible for the exchange of oxygen, nutrients, and waste products between the blood and surrounding tissues.

The size of capillaries is finely tuned to facilitate efficient gas and nutrient exchange. Their narrow diameters allow red blood cells to pass through in single file, ensuring close proximity to the capillary walls. This proximity maximizes the diffusion distance for oxygen and nutrients to cross into the surrounding tissues, while facilitating the removal of waste products such as carbon dioxide.

The compact size of capillaries also allows them to penetrate deep into tissues, reaching almost every cell in the body. Their extensive network of tiny vessels enables the delivery of vital substances to cells and supports the removal of metabolic waste.

Overall, the size of capillaries, approximately 5 to 10 micrometers, is essential for their function in facilitating effective exchange of substances between the blood and surrounding tissues, ensuring the proper functioning of our organs and systems.

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Answer:

sqrt 169 is 13

sqrt 196 is 14

Step-by-step explanation:

The square root of the number in the fractional form \(\frac{169}{196}\) is the number in fractional form \(\frac{13}{14}\).

Given a number:

\(\frac{169}{196}\)

It is required to find the square root of the number.

The square root of the fraction can be found by taking the square root of each component and dividing it.

That is:

\(\sqrt{\frac{x}{y} } =\frac{\sqrt{x} }{\sqrt{y} }\)

Here, x = 169 and y = 196.

So, this can be written as:

\(\sqrt{\frac{169}{196} } =\frac{\sqrt{169} }{\sqrt{196} }\)

         \(=\frac{13}{14}\)

Hence, the fraction is \(\frac{13}{14}\).

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An indication of the inequality negative 2 over 3 > −1 about the positions of negative 2 over 3 and −1 on the number line is that: A. negative 2 over 3 is located to the right of −1.

A number line can be defined as a type of graph that is designed and developed with a graduated straight line containing both positive and negative numbers (numerical values), that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used for the comparison of two or more numbers such as -2/3 and -1. Also, a number line typically decreases in numerical value towards the left and increases in numerical value towards the right.

Note: negative 2 over 3 = -2/3.

By comparison, we have:

-2/3 > -1

In conclusion, the above inequality simply means that -2/3 is greater than -1 and it would be located to the left of 0 and right of -1 on a number line as shown in the image attached below.

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The volume of the water in the water cooler when it is completely full is 82.21 gallons.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In many contemporary branches of geometry and topology, a cylinder can also be defined as an infinitely curvilinear surface.

Given that the height of a cylinder is 3.5 feet. The diameter of the cylinder is 2 feet.

The radius of the cylinder is half of the diameter.

The radius of the cylinder is 2/2 = 1 foot.

The volume of a cylinder is πr²h.

r = radius, h = height

The volume of the cylinder is

π×1²×3.5

= 3.14 × 3.5

= 10.99 cubic foot

= 10.99 × 7.48 gallons

= 82.205 gallons

= 82.21 gallons

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Answer:

81/36

Step-by-step explanation:

81/9 is 9

9 times 4 is 36

Answer:

Hi there the answer is 81/36. Hope this helps! c:

Step-by-step explanation:

First, figure out what ratio was used to make 9, 81.

You can recall that 9 x 9 = 81.

Therefore you must multiply the bottom of the fraction by 9 as well in order to create the correct ratio.

Thus, 4 x 9 = 36.

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Let,

Number of Advance Tickets = a

Number of Same-Day tickets = s

Given,

Total 45 tickets sold

We can write

Also, each advance ticket cost $15 and same day tickets cost $20 for a total of $825. Thus, we can write:

We will multiply the first equation by - 15 and then add both equations. Then, solve for "s". The steps are shown below:

Now, we can use this value of "s" and put it into Equation 1 and find the value of "a". Shown below:

Answer:P=1485 R= 1203

Step-by-step explanation:

The combination p AND (NOT q) is true when p is true and q is false, and false otherwise.

The statement "p AND (NOT q)" means that both p is true and q is false.

When p is true ("The pond is not frozen over") and q is true ("The fish are not jumping"), then (NOT q) is false, so the combination p AND (NOT q) is false.

When p is true and q is false ("The fish are jumping"), then (NOT q) is true, so the combination p AND (NOT q) is true.

When p is false ("The pond is frozen over"), then the combination p AND (NOT q) is false regardless of the truth value of q.

Therefore, the combination p AND (NOT q) is true when p is true and q is false, and false otherwise.

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Answer:

The distance from earth to mars is 125 times greater than the distance from earth to the moon

Step-by-step explanation:

The marginal density of y1 is obtained by integrating the joint density function over y2.The independence of y1 and y2 can be determined by comparing the joint density function with the product of the marginal densities of y1 and y2.

The marginal density of y1 can be found by integrating the joint density function over y2, disregarding y2. This gives us the density function that describes the distribution of y1 alone.

The conditional density of y2 given y1 = y1 can be obtained by dividing the joint density function by the marginal density of y1. This gives us the density function that describes the distribution of y2 when the value of y1 is fixed.

To determine whether y1 and y2 are independent, we compare the joint density function with the product of the marginal densities of y1 and y2. If the joint density function can be expressed as the product of the marginal densities, then y1 and y2 are independent. Otherwise, they are dependent.

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A fact is a statement that is considered to be true based on evidence or experience. It starts with a relationship, which expresses a connection or correlation between two or more entities, and is followed by a list of arguments.

The arguments of a fact can be variables, which represent unknown values, or simple values, such as numbers or strings. In some cases, a fact can have a structure similar to that of a rule, which defines a set of conditions that must be satisfied for the fact to be true. However, unlike a rule, a fact is not conditional and is considered to be true at all times.

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Answer: C

Step-by-step explanation: This is because there is no y - intercept. But since there is still a slope an x but be next to the 3/4. Which represents the rate of change.

Given :

▪︎Measure of ∠G = 64°

▪︎△GAM is an isosceles triangle.

We know that :

▪︎The opposite base angles of an isosceles triangle are always equal.

Let the measure of ∠A be x.

Then, the measure of ∠M will also be x.

Which means :

\( = \tt64 + x + x = 180\)

\( = \tt64 + 2x = 180\)

\( = \tt2x = 180 - 64\)

\( =\tt 2x = 116\)

\( =\tt x = \frac{116}{2} \)

\( = \tt \: x = 58\)

Since the sum of all these angles is equivalent to 180°[64+58+58=180], we can conclude that we have found out the correct measure of each of these angles.

Measure of ∠A = 58°

Measure of ∠M = 58°

______________________________

 - Quadratic polynomial can be factored using the transformation \(ax^2+bx+c=a(x-x_{1})(x-x_{2})\), where \(x_{1}\) and \(x_{2}\) are the solutions of the quadratic equation \(ax^2+bx+c=0\).

 - This steps basically means change you current equation using the formula \(ax^2+bx+c=0\).

 - All equations of the form \(ax^2+bx+c=0\) can be solved using the quadratic formula: \(\sqrt{\frac{-b\frac{+}{}\sqrt{b^2-4ac}}{2a} }\).

 - The quadratic equation formula gives two solutions, one when \(\frac{+}{}\) is addition and one when it is subtraction.

Equation at the end of Step 3:

Equation at the end of Step 4:

Equation at the end of Step 5:

Equation at the end of Step 6:

Equation at the end of Step 7:

Equation at the end of Step 8:

Equation at the end of Step 9:

Now solve the equation \(x=\frac{15\frac{+}{}17}8}\) when \(\frac{+}{}\) is plus.

Add 15 to 17:

Divide 32 by 8:

Now solve the equation \(x=\frac{15\frac{+}{}17}8}\) when \(\frac{+}{}\) is minus.

Subtract 15 by 17:

Reduce the fraction to lowest terms by extracting and canceling out 2:

Factor the original expression using \(ax^2+bx+c=a(x-x_{1})(x-x_{2})\). Substitute 4 for \(x_{1}\) and \(-\frac{1}{4}\) for \(x_{2}\):

Simplify all the expressions of the form \(p-(-q)\) to \(p+q\):

Add \(\frac{1}{4}\) to x by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible:

Cancel out 4, the greatest common factor in 4 and 4:

______________________________

Answer:

C 375 this your answer

Hope it will help

Answer:

B) 592

Step-by-step explanation:

483, 759, 264, 837,?

Erase commas.

483759264837

Separate into two-digit groups:

48, 37, 59, 26, 48, 37

There is a common pattern:

48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37

The next term:

37 + 22 = 59 (add 22)

59 - 33 = 26 (subtract 33)

5926