Two angles are supplementary angles if the sum of their measures is 180 degrees. Find the measures of two supplementary angles if the measure of one angle is 3 degrees less than twice the other.

Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.

Given the equation:

x² - 4x - 10 = 0.

Applying the bisection method, we would have the following:

x² - 4x + (2²) - (2²) - 10 = 0

(x - 2)² - 14 = 0

Add 14 to both sides

(x - 2)² = 14

Take the square root of both sides

x - 2 = ±√14

x = 2 ± √14

x = 2 - √14 = -1.74

or x = 2 + √14 = 5.74

Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

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Answer:

B. megalopolis

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

The answer of this question is 7

Step-by-step explanation:

because 1 page=$0.70 and now calculate

10×1×0.70=7

To edit 10-page play you have to pay $7.

"It is the method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A play is of 10 pages.

It charges $0.70 per page to edit.

So, to edit 10-page play the cost would be,

10 × $0.70 = $7.0

Therefore, to edit 10-page play you have to pay $7.

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As per linear equation, option-A and option-B are the equations of  straight line.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given equations are:

A. [tex]3x + 2y = 8[/tex]

It is an equation of a straight line as it matches the standard form of a linear equation.

B. [tex]y = \frac{x}{2} - 5[/tex]

This is also an equation of a straight line as it matches the standard form of a linear equation.

C. [tex]y = x^{2} + 3[/tex]

It is not an equation of a straight line as it does not match the standard form of a linear equation.

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Answer:

165

Step-by-step explanation:

area of a hexagon = 1/2 × apothem × perimeter

to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )

given side length = 11

so perimeter = 6 × 11 = 66

now to find area

remember area = 1/2 × apothem × perimeter

given apothem = 5 and perimeter = 66

so area = 1/2 × 5 × 66

1/2 × 5 = 2.5

2.5 × 66 = 165

Answer:

8 hours

Step-by-step explanation:

11 hours = $176

⇒ 1 hour = $176 ÷ 11 = $16

To determine how many hours she would have to work to make $128, divide $128 by $16:

⇒ number of hours = $128 ÷ $16

                                = 8 hours

___________________________________________________

[tex]\frac{128\times11}{176}[/tex]

___________________________________________________

[tex]\frac{8\times11}{11}\\ 8[/tex]

I hope this helps you

:)

Answer:

Step-by-step explanation:

Y-intercept is -2.

Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.

Plugging into slope-intercept form:

y=mx+b => y=2x-2

Answer:

24.5 is our interquartile range

Step-by-step explanation:

First, you need to order the data set from least to greatest:

41, 44, 44, 49, 59, 60, 62, 75, 79

We have a total of 9 numbers in the data set.  

**Note: Our minimum is 41 and our maximum is 79, this is important**

Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.

Our median is the middle number which is 59.

**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**

Our data set without the median:

Data set 1: 41, 44, 44, 49

Data set 2: 60, 62, 75, 79

Now find the median of data sets 1 and 2.

Data set 1: 44+44/2 -> 88/2 =44

Data set 2: 62+75/2  -> 137/2 = 68.5

Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.

68.5 - 44 = 24.5

24.5 is our interquartile range

Answer:

(0,12)

Step-by-step explanation:

B.(0,12)

Answer:

Blank 1. is 2 feet

Blank 2. is 28 grams

Blank 3. is 8 mililiters

Step-by-step explanation:

The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.

In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.

[tex](x,y)[/tex]

The given set is U(a,e,i,o,u), in which,

[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]

For the union, write all the terms of  X and Y set.

[tex]X\cup Y=(a,e,i,o,u)[/tex]

For the intersection, write all the common terms of  X and Z set.

[tex]X\cap Z=(i,o)[/tex]

For the intersection, write all the common terms of  X , Y and Z set.

[tex]X\cap Y\cap Z=(o)[/tex]

Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

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Answer:

sin A = 8/17.

Step-by-step explanation:

As cos A =  15/17 one leg of the triangle = 15 and the hypotenuse = 17.

The side length 15 is the adjacent side to angle A.

First find the length of other side of the right triangle, using the Pythagoras

Theorem:

Opposite side to ange A = √(17^2 - 15^2)

= √64

= 8 units.

sin A = opp side / hyp

= 8/17.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:x - \dfrac{1}{2} \geqslant 43 [/tex]

[tex]\qquad \tt \dashrightarrow \:x \geqslant43 + \dfrac{1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:x \geqslant \dfrac{86 + 1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:x \geqslant \dfrac{87}{2} [/tex]

hope this helps Belinda aunty ~

[tex]~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)[/tex]

Answer:

Step-by-step explanation:

Given expression:

Clearly, 16 is a perfect square as 4 x 4 is 16.

Thus, this expression can be written as:

Using the formula "a² + b² = (a + b)(a + b)"

Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

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Answer:

p = 5/3m

Step-by-step explanation:

The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:

3p = 5m

divide both sides by 4

p = 5/3m

This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.

Hope this helps!

Brainiest always helps me out :)

Answer:

Similar

Step-by-step explanation:

We can say that the triangles are similar by looking at the angle measurements

Angle B = 35

Angle F = 55

Both angles A and D = 90 because these are right triangles

We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180

Same rule applies to angle C

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Area of circle :

[tex]\qquad \sf  \dashrightarrow \:\pi r {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:12.25 \: \pi[/tex]

[tex]\qquad \sf  \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]

Answer:

38.465 units²

Step-by-step explanation:

The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.

Substituting the radius in the formula:

⇒ πr²

⇒ π(3.5)²                                                                        [Radius (r) = 3.5 units]

Evaluating the area:

⇒ π x 12.25

⇒ 3.14 x 12.25

⇒ 38.465 units²

Answer:

550pages and 10 hours

Step-by-step explanation:

Answer:

x = 50 degrees

Step-by-step explanation:

all the angles of a triangle add up to 180

a right angle is ninety degrees

90 + the 40 degrees on the top is 130 degrees

180 - 130 is 50

x = 50

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Before finding the value of x, we must know this first.

[tex] \\ \longrightarrow \qquad { \underline{ \boxed{ \pmb{ \frak{Sum \: of \: all \: \: angles_{(Triangle)} = 180 {}^{ \circ} }}}}} \: \: \bigstar \\ \\ [/tex]

This is a right angled triangle so,

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ \angle \: 1 +\angle \: 2 + \angle \: 3= {180}^{ \circ} }}}}} \\ \\ [/tex]

[tex]\longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {90}^{ \circ} + {40}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]

Adding like terms we get :

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]

Subtracting 130° from both sides :

[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} - {130}^{ \circ} = {180}^{ \circ}- {130}^{ \circ}}}}}} \\ \\ [/tex]

[tex]\longrightarrow \qquad { \underline { \boxed{ \pmb{ \frak{ x^{ \circ} = {50}^{ \circ}}}}}} \: \: \bigstar\\ \\ [/tex]

Therefore,

Put y and find x

Answer:

largest number -smallest number

Answer:

1. Alissa can conclude that there are fewer students at her school that want to visit Japan (7) than Australia (13)

I'm not sure about the 2nd question so you can use it if you want or just wait if someone else gives a different answer

2.

25 × 0.52 = 13 pets that don't have a home

25 - 13 = 12 pets that have a home

Pets that don't have a home is more than the pets that have a home

The statement is not misleading

Answer: side

Step-by-step explanation:

Answer:

<1=104

<2=76

<3=76

<4=104

<5=104

<6=76

<7=76

<8=104

Step-by-step explanation:

So, the angles are all vertical to the one across it.

That makes <2 to be 76.

76(2)+2(<1)=360,

2(<1)=208

<1=104

You also know that the two lines are parallel, making the ones above/below it equal.

That makes <7 AND <6 to be 76 as well.

Answer:

B (2.5, -0.5)

Answer:

$1.50

Step-by-step explanation:

24 - 6 = 18

18/9 = cost of 1 ride

cost of 1 ride = $2

2 carnival games = 3 x 2 = $6

18 - 6 = 12

12 - 3.5 = $8.50

five rides cost = 5 x $2 = $10

10 - 8.5 = $1.50

The answer is 1/3.

If you're still not sure (and math teachers will appreciate you doing this), you can check. Divide 1 by 3 and you will get 0.333333333333...

I hope this answers your question.

d is the answer

let the number of tickets be x and y

then the prices are multiplied to the number of tickets.