Please, I will mark brainliest.

The pairs of angles that are vertical angles in the figure are R and T.

In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.

Looking at the given options:

R and T are vertical angles because they are formed by the intersection of lines.

P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.

Therefore, the pairs of angles that are vertical angles in the figure are:

R and T

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The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).

In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:

x = a(y - k)² + h.

Where:

By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:

h = 0

k = 0

a = positive.

x = a(y - k)² + h.

x = a(y - 0)² + 0.

x = ay²

Therefore, a possible equation is x = 1/12(y²).

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The quadratic equation is given as

Using the square roots property, we need to find the square root of both sides.

Therefore, we get

Hence, we can solve as

The roots can be gotten as

or

The answer is

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

The essays that she can review in 1 hour would be; 2 2/3.

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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Answer:

5280 feet

Step-by-step explanation:

Answer:

how many feet is a mile its 5280 feet

Step-by-step explanation:

The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

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4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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\(\huge\text{Hey there!}\)

\(\mathsf{b + b + b + b + b}\\\mathsf{= 1b + 1b + 1b + 1b + 1b}\\\mathsf{= 2b + 2b + 1b}\\\mathsf{= 4b + 1b}\\\mathsf{= 5b}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{5b}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

Step-by-step explanation:

b+b+b+b+b is 5b

Answer:

Hello Adam Here!

Step-by-step explanation:

When multiplying by powers of 10, move the decimal point one place to the right for each power of ten. 2. When dividing by powers of 10, move the decimal point one place to the left for each power of ten. The following diagram shows how to multiply and divide numbers by powers of 10.

Hope This Helps From, Adam :)

Answer:

a(3b+5x)

Step-by-step explanation:

Factor 3ab+5ax

3ab+5ax

=a(3b+5x)

MARK ME THE BRAINIEST PLEASE!!

Answer:

Expression A & Expression C are equivalent

Step-by-step explanation:

●In Expression A :-

9x - 3x - 4

=> 6x - 4 ( Substracting the like terms )

● In Expression C :-

5x + x - 4

=> 6x - 4 ( Adding like terms )

● In Expression B

12x - 4

Comparing all the expressions , we find both expression A & C have 5x - 4 as eqn. So they are equivalent.

Eqns are known as equivalent only when the final result will be equal after putting 'n' number of values in place of the variable. For example ,

expression A & C are equivalent. If we gonna take x = 1 , then the final result will be 6×1 - 4 = 2. Here we find that after putting x=1 in the expressions , the final result is equal in both the expressions & that is 2.

So the mistake of Brianna was her wrong assumption about equivalent expression.

Answer:

answer = -1

Step-by-step explanation:

TU with endpoints T(1,2) and U(4,6) and its images after the composition are T' = (-1, -1) and U' = (2,3) and T'' = (-3, 7) and U'' = (0,11).

Tradition holds that the reflection of point P across the line, denoted by the word P', is the "image" of point P. (pronounced "P prime").

Given, line TU with endpoints T(1,2) and U(4,6).

To find the translation:

In 1:

Translate TU 2 units left and 3 units down.

That means,

T' = (-1, -1) and U' = (2,3)

In 2:

Translate TU 4 units left and 5 units up.

That means,

T'' = (-3, 7) and U'' = (0,11)

Therefore, the image points are T' = (-1, -1) and U' = (2,3) and T'' = (-3, 7) and U'' = (0,11)

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Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

(48, 3), (80, 5), (160, 10)

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

9 hours

Step-by-step explanation:

75 ----- 3

225 ---- x

\(x = \frac{(225)(3)}{75} =\frac{675}{75} =9 h\)

Hope this helps

Answer:

3c^3+2c^2

Step-by-step explanation:

Answer:

3c^3 +2c^2

Step-by-step explanation:

–c^2(3c – 2)

Distribute

=c^2 * 3c - c^2 * -2

3c^3 +2c^2

Answer:

z=12

Step-by-step explanation:

z+15=27

move constant

z=27-15

z=12

Answer:

y=-1/4x-6

Step-by-step explanation:

Y-intercept is -6 because that is where the line touches on the y-axis. For slope, pick two points and remember rise over run.

Pick (0,-6) and (4,-7) for example. Referencing the graph, from -6, count over and down until you get to (4,-7). The line represents a negative slope, so your slope is -1/4

Step-by-step explanation:

-5(4)+2

-20+2

-18

just put 4 on the place of x

Answer:

\(=-18\)

Step-by-step explanation:

\(g(x)=-5x+2\)

Let's substitute 4 for x and solve.

\(g(4)=-5(4)+2\)

\(g(4)=-20+2\)

\(g(4)=-18\)

This means that when the function of \(g\) is 4, then the \(x\) value is \(-18\)

Hope this helps.

The required probability is,

⇒ P(Pink, Blue) = 9/32

To begin,

Determine the total number of sections on the spinner.

Then,

Total sections = 2 (yellow) + 3 (pink) + 3 (blue)

The probability of getting pink on the first spin and blue on the second spin.

⇒ P(Pink, Blue) = P(Pink) x P(Blue | Pink)

To find P(Pink),

Divide the number of pink sections by the total number of sections,

⇒ P(Pink) = 3 / (2 + 3 + 3)

                = 3/8

To find P(Blue | Pink),

Divide the number of blue sections by the remaining sections after the first spin,

⇒ P(Blue | Pink) = 3 / (2 + 3 - 1)

                           = 3/4

(After the first spin, we remove 1 from the total number of parts because we have already taken one portion - the pink section - out of play.)

So, putting it all together, we get,

⇒ P(Pink, Blue) = (3 / (2 + 3 + 3)) x ( 3/ (2 + 3 - 1))

Hence,

⇒ P(Pink, Blue) = (3/8) x (3/4)

                         = 9/32

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Answer:

yes there is room for Mr. Kastelan

Step-by-step explanation:

60-17=43 which leaves enough room for the teacher

Answer:

yes

Step-by-step explanation:

there are only 17 cars in the lot so there are still 43 more spots for him to park in.

Answer:

c.3 and an exponent of 12

Answer: Give brainly and ill say answer

Step-by-step explanation:

so yeah.

Answer:

b

Step-by-step explanation:

divide both sides by 2pi

Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.