Two points that are on the same line are called what?


A
coplanar
B
collinear
C
supplementary
D
parallel

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Answer:

(2,-5)

Step-by-step explanation:

To solve this, simply substitute the values for x and y. The only one that works is (2,-5).

-5 = -2(2) -1

-5 = -4 - 1

-5 = -5

The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

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Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

The quantity of gallons that would be sold per hour when the price is $2.20 per gallon would be = 1288 gallons

When charges is $2.05 per gallon the number of gallons sold = 1200 gallons

When the charges is $2.45 per gallon the number of gallons sold = 900 gallons per hour.

That is;

$2.05 = 1200 gallons

$2.20 = X gallons

Make X gallons the subject of formula;

X gallons = 2.20×1200/2.05

= 2640/2.05

= 1287.8 gallons

= 1288 gallons ( approximately)

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Answer:

(f + g)(x) = 3x + 6

Step-by-step explanation:

Brainliest?

Answer:

105°

Step-by-step explanation:

Supplementary angle of 75° = 180° - 75° = 105°

Answer:

105°

Step-by-step explanation:

angle given is 75°

= 180° - 75°

= 105°

Step-by-step explanation:

uhhh what set of numbers?

Answer:

27

Step-by-step explanation:

If a= -3 what is 3a^2 = 27

Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Answer: 3y6u3

Step-by-step explanation:0-3

Look at what image I've attached. You start at positive 40 (on the right side of 0) and you end at -5 (left side of 0). How many spaces did you move back? -45 is the total difference

Answer: 15

Step-by-step explanation:

i think maybe 15..........................              

Answer:

\(x=\frac{28}{9}\)

Step-by-step explanation:

\(\frac{3x}{4} =\frac{7}{4}\)

\(\Longleftrightarrow \left( 3x\right) \times 3=7\times 4\)

\(\Longleftrightarrow 9x=28\)

\(\Longleftrightarrow x=\frac{28}{9}\)

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer:

  length ≈ 5.583 ft

  width ≈ 3.583 ft

Step-by-step explanation:

If we let x represent the length of the table in feet, then the width is (x-2). The area is ...

  A = LW

  20 = x(x -2)

Writing this in standard form gives ...

  x^2 -2x -20 = 0

The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}\)

Of these values, the only one that makes sense is ...

  length = 1+√21 ≈ 5.583 ft

  width = length -2 ≈ 3.583 ft

Let width is x

length be x+2

On solving

we get

x is around 3.58 or 3.6ft

Answer:

The simple interest is Prt

The simple interest on the money will be $24300

Step-by-step explanation:

The complete question is shown below

The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$18,000, r=7.5%, t=18 months

Principal = P

Interest rate = r

Time period = t

simple interest owed for the use of the money will be gotten as below

The percentage of the principal that will be owed per unit period is the rate r

The total rate that it will be involved in this time period will be the product of the rate and the time = r x t = rt

Finally, to know the amount of interest that this rate will result to, we multiply the total rate in the time period by the original principal borrowed

Total interest = Prt

For a simple interest on the principal P = $18,000,

the interest rate = 7.5% = 7.5/100 = 0.075,

time period = 18 months

we assume the interested is calculated on a monthly basis

Simple interest = Prt

==> 18000 x 0.075 x 18 = $24300

I presume you mean 9 'square'

9^2= 9 X 9 = 81

Cheerio ✌️

Step-by-step explanation:

The value of 9 Square is = 9 ×9= 81

Hope it's help you

Answer

35

Step-by-step explanation:

Using Pythagoras theorem since it's a right angle triangle,

The missing side, say h,is the hypotenuse

28²+21²= h²

784+441=h²

√1225=√h²

h=35

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

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

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

x=7

Step-by-step explanation:

Add 6 to both sides

Simplify

Expand the parentheses

Add 1 to both sides

When the value of p is - 1, then p- 1 ≤ 0.5 is the required inequality.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

We have the inequalities;

(A). p- 1 ≤ 0.5

When p = -1,

-2  ≤ 0.5.

(B). -p - 1 ≤ -0.5

When p = -1,

0  ≤ -0.5.

This is contradiction.

(C).  p - 1 ≥ 0.5

When p = -1,

-2  ≥ 0.5.

This is contradiction.

(D). -p -1 ≥ 0.5

When p = -1,

0  ≥ 0.5.

This is contradiction.

Therefore, p- 1 ≤ 0.5 is the required inequality.

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The complete question:

Which inequality is true when the value of p is -1?

(A). p- 1 ≤ 0.5

(B). -p - 1 ≤ -0.5

(C).  p - 1 ≥ 0.5

(D). -p -1 ≥ 0.5

Based on the Chord Arcs Theorem, the congruence statement that is true is: Arc CO ≅ arc HZ.

The Chord Arcs Theorem states that when two chords intersect inside a circle and are equal in length, the arcs they intercept on the circumference of the circle will also be equal in length.

In the image given below, where chords CO and HZ are congruent to each other, it means that their corresponding arcs that they intercept will have the same measure that is equal to each other, based on the chord arcs theorem.

Therefore, the congruence statement that is true is: Arc CO ≅ arc HZ

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Answer:

B

Step-by-step explanation:

factor the expression.

recheck: -5×4= -20

-5+4= 1 (which is a)

a×a=a²

Answer:

thx

Step-by-step explanation:

Answer:

Yes!

Step-by-step explanation:

It is because your still getting the same number 3 because even though your multiplying and dividing it still works

Determine if the ratios 3/6 and 6/3 equivalent and state a reason for your answer

Ratio is comparison between two numbers or quantities

Given:

3/6

= 1/2

= 1 : 2

6/3

= 2/1

= 2 : 1

Therefore, the ratios 3/6 and 6/3 are not equivalent to each other because the 3/6 is a proper fraction (numerator less than denominator) and 6/3 is an improper fraction(numerator greater than denominator).

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Answer:

Step-by-step explanation:

\(1 \frac{7}{15}\)

In a graph of a rectangular hyperbola, the X- axis and the y -axis are the asymptotes of the function.

A rectangular hyperbola is a type of conic section that has two branches, and each of these two branches of the hyperbola is shaped like a rectangle. The graph of the hyperbola is as if the graph was formed by 4 U letters.

The asymptotes of a hyperbola are the lines that the two branches approach as they extend indefinitely in either direction.

In the case of a rectangular hyperbola, these lines are perpendicular to each other and intersect at the center of the hyperbola.

Thus, in this special case, the x-axis and x-axis of the graph are the asymptotes of the rectangular hyperbola.

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