Answer the two questions in the photo for easy points ( will mark brainliest if correct )

Answer:

900⁰

Step-by-step explanation:

Use the formula:

(n-2)×180 =sum of interior angles.

n= number of sides

(7-2) × 180= 5×180= 900⁰

The statements which are true include the following:

C. Dilations of a triangle are similar to the original triangle.

D. Dilations of perpendicular lines remain perpendicular lines.

F. Dilations of an angle are congruent to the original angle.

In Geometry, there are different types of transformation and these include the following:

Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

In this context, we can reasonably infer and logically deduce that a dilation of perpendicular lines would always remain perpendicular lines because it takes each of the line to another perpendicular line.

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The equation that can be used to determine Jose's age given Mario's age is j = [tex]3\frac{1}{3}[/tex]m

Th relationship between Jose's age and Mario's age can be modelled as a linear equation. A linear equation is an equation that when graphed is a straight line. The straight line can either slope upward or downward.

A linear equation is an equation that increases at a constant rate. It has a single variable that is raised to the power of one.

Looking at the table, there is a proportional relationship between  Jose's age and Mario's age.

A proportional relationship has this form: j = bm

Where:

10 = b3

b = 10 / 3

b = 3 1/3

j = [tex]3\frac{1}{3}[/tex]m

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Answer:

j=m+7

Step-by-step explanation:

I have attached the image.

Answer:

He can buy 9 bagels

Step-by-step explanation:

6 divided by $0.65 gets you 9.230769230769231. We have to round this down so he can get 9 bagels.

Evaluation of fog(-1) = 1/3

Given,

f(X)=2x+3/x-1

g(X)=3x+1

a) Evaluate:

(f o g)(x) = f(g(x))

             = 2(g(x)) + 3/(g(x)) - 1

             = 2(3x + 1) + 3/(3x + 1) - 1

             = 6x+2+3/3x+1-1

(f o g)(x) = 6x+5/3x

i) fog(-1) = 6(-1)+5/3(-1)

            = -6+5/-3

            = -1/-3

fog(-1)   = 1/3

Hence, a.)evaluate: (f o g)(x) = 6x+5/3x

i.)fg(-1)​: fog(-1)   = 1/3

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Answer:

it -8 2÷-14=-7 x=-7

-7+-1=-8

Answer:

Talks about man's brutality

Step-by-step explanation:

It says man spoils Heaven's glorious works with blood, meaning that Earth was perhaps a gift for humans which we ourselves have ruines by engaging in brutal and barbaric acts of war and murder.

The reader is almost instantly brought into reality. The reader is made to feel like the first half of the poem was an illusion and the second half was the real reality. The sudden drop from a heaven-like and fantastical description to a dark and hellish world, makes teh reader uncomftable and almost as if realisation hits the reader and causes them to feel guilty and almost at unease of their own presence

Answer:

4.8x10^11

480000000000

Step-by-step explanation:

Sum of Exterior Angles of Triangle is 360°.

Define Exterior Angle

The angle between any side of a shape and a line that extends from the next side is known as the exterior angle.

Let's Prove: ∠1 + ∠2 + ∠3 = 360°

The angle that is created between one of a triangle's sides and its adjacent extended side is known as the external angle. A triangle has three external angles. Let's learn about the equation for adding a triangle's exterior angles.

From the figure, we can observe that ∠1, ∠2, and ∠3 are the exterior angles of triangle ABC. We know that the sum of all the exterior angles of any polygon is equal to 360°.

Thus, sum of all the exterior angles of a triangle = 360°

Therefore, In triangle ABC the sum of exterior angles,

∠1 + ∠2 + ∠3 = 360°

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Answer:

Choice A I think, i'm not really sure!

The most appropriate choice for standard deviation will be given by-

Standard deviation is 1.41

What is Variance and standard deviation?

At first, it is important to know about mean of a data.

Mean gives the average value of the data.

Variance is calculated by taking the sum of the square of deviation of each value of the data set and then dividing the sum by the total number of values of the data set.

On taking the square root of the variance, we will obtain the standard deviation of the data set.

Here,

The data set is 2, 2.6, 3.2, 4.35, 4.7, 6.2

Mean = [tex]\frac{2 + 2.6 + 3.2 + 4.35 + 4.7 + 6.2}{6}[/tex]

          = 3.84

Variance = [tex]\frac{(2-3.84)^2+(2.6-3.84)^2+(3.2-3.84)^2+(4.35-3.84)^2+(4.7-3.84)^2+(6.2-3.84)^2}{6}[/tex]

               = [tex]\frac{11.9021}{6}[/tex]

               = [tex]1.983[/tex]

Standard deviation = [tex]\sqrt{1.983}[/tex]

                                = 1.41

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Answer:

u=11

Step-by-step explanation:

7u-12u+17=-38-combine like terms

-5u=-38-17

-5u=-55

-u=-11

which means u=11

Answer:

u = 11

Step-by-step explanation:

7u + 17 - 12u = - 38 , that is

- 5u + 17 = - 38 ( subtract 17 from both sides )

- 5u = - 55 ( divide both sides by - 5 )

u = 11

One box of oaties will be enough for two groups of children.

We can state the box of oaties is enough for everyone, if the amount required by number of children in each group is less than or equal to 12.

So, amount of cereal required by younger/older children = amount required by one child × number of children

Amount of cereal required by younger children = 1/3 × 11

Amount of cereal required by younger children = 11/3 cups of cereal

Amount of cereal required by older children = 3/4 × 10

Amount of cereal required by younger children = 15/2 cups of cereal

Amount of cereal = 12 - (11/3 + 15/2)

Taking LCM in the bracket, we get 6

Amount of cereal = 12 - (11×2 + 15×3/6)

Solving the bracket

Amount of cereal = 12 - (22 + 45/6)

Performing addition = 12 - (67/6)

Amount of cereal = (12×6 - 67)/6

Amount of cereal = 72 - 67/6

Performing subtraction in numerator

Amount of cereal = 5/6

As 5/6 cups of cereal is remaining, thus, a box of oaties will be enough for 11 younger children and 10 older children.

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The complete question is -

Diane serves breakfast to two groups of children at a daycare center. One box of oaties contains 12 cups of cereal. She needs 1/3 cup for each younger child and 3/4 cup for each older child. Todays group includes 11 younger children and 10 older children. Is one box of oaties enough for everyone?

Answer:

Equation of a line given two points:

Line equation: y = 3x

Slope = 3

Intercept = 0

Answer:

2 quinoa because it will comit 4 plus6

Answer:

Length = 9

Step-by-step explanation:

7^2 + 4sqrt2^2 = x^2

49 + 16*2 = x^2

49+32 = x^2

x^2=81

x=9

:] (Tell me if this is wrong)

The equation is d = 3m + 5

What is an equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Solving an equation with variables entails finding which variables' values make the equality true. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that fulfill the equality are known as equation solutions. Identity equations and conditional equations are the two types of equations.

The cost function is given by the equation d = 3m + 5

where, d = dollars, m = movies

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Answer:

76%,4/5,0.9,9/8

Step-by-step explanation:

The source of bias in a survey question is D. a question that is so easy all students give the right answer.

Source bias is the propensity to favor sources of information that corroborate or contradict a certain set of views or values.

When systematic inaccuracy is added to sampling or testing during research, bias emerges. This happens when one outcome or response is preferred over others. Bias can appear at any stage of the research process, including study design, data collection, data analysis, and publication.

It should be noted that when the question is so easy, it ilustrates bias since it was intentional.

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The most appropriate choice for quadratic equation will be given by

Width of safety zone is 7.84 m

What is equation and Quadratic equation?

A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=)  sign is called equation.

A two degree equation is known as quadratic equation.

Let [tex]ax^2+bx +c[/tex] be a quadratic equation (a ≠ 0)

Then

[tex]x = \frac{-b \pm \sqrt{b^2 -4 \times a \times c}}{2\times a}[/tex]

Here,

Let the width of the safety zone be x metre

Length of rectangular park = 50m

Breadth of rectangular park = 30m

Area of rectangular park = [tex]50 \times 30[/tex]

                                         = [tex]1500[/tex] [tex]m^2[/tex]

Length of rectangular park with safety zone = (x + x + 50) m

                                                                         = (2x + 50) m

Breadth of rectangular park with safety zone = (x + x + 50) m

                                                                         = (2x + 30) m

Area of rectangular park with safety zone = (2x + 50)(2x + 30) [tex]m^2[/tex]

                                                                      = [tex]4x^2 +60x + 100x + 1500[/tex]

                                                                      = [tex](4x^2 + 160x +1500) m^2[/tex]

Area of safety zone = [tex]4x^2 +160x+1500-1500[/tex]

                                 = [tex]4x^2 +160x[/tex]

By the problem,

[tex]4x^2 +160x=1500[/tex]

[tex]4x^2 +160x-1500=0[/tex]

[tex]4(x^2 +40x-375)=0[/tex]

[tex](x^2 +40x-375)=0[/tex]

[tex]x = \frac{-40 \pm \sqrt{40^2 -4 \times 1 \times (-375)}}{2\times 1}[/tex]

[tex]x = \frac{-40 \pm \sqrt{1600 +1500}}{2\times 1}[/tex]

[tex]x = \frac{-40 \pm \sqrt{3100}}{2}[/tex]

[tex]x = \frac{-40 \pm 55.68}{2}[/tex]

[tex]x = \frac{-40 + 55.68}{2}[/tex] or [tex]x = \frac{-40 - 55.68}{2}[/tex]

[tex]x =7.84[/tex] or [tex]x = -47.84[/tex]

[tex]x = -47.84[/tex] is not possible as width cannot be negative

so [tex]x = 7.84[/tex] m

Width of safety zone is 7.84 m

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By applying a rotation of 180° counterclockwise to triangle ABC, we have the following:

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° counterclockwise (anticlockwise) to triangle ABC, the coordinate of the image of triangle A'B'C' is given by:

(x, y)                         →               (-x, -y)

Points at A = (-4, 0)   →  Points at A' = (-(-4), -(0)) = (4, 0)

Points at B = (-7, -2)   →  Points at B' = (-(-7), -(-2)) = (7, 2).

Points at C = (-7, -2)   →  Points at C' = (-(-9), -(-9)) = (9, 9).

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Answer:

[tex]125x^{18}y^{6}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(5x^6y^2\right)^3[/tex]

Apply the exponent rule that states that raising a number to a power of 1 yields the original number:  5 = 5¹.

[tex]\implies \left(5^1x^6y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (abc)^n=a^n \cdot b^n \cdot c^n:[/tex]

[tex]\implies \implies \left(5^1\right)^3 \cdot \left(x^6\right)^3 \cdot \left(y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 5^{(1 \cdot 3)} \cdot x^{(6 \cdot 3)} \cdot y^{(2 \cdot 3)}[/tex]

[tex]\implies 5^3x^{18}y^{6}[/tex]

Carry out 5³:

[tex]\implies 5 \cdot 5 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 25 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 125x^{18}y^{6}[/tex]

From the information given in the Poisson Distribution, the probability that  that no more than three customers arrive that is P (X≤3) = 0.0817.

What is a Poisson Distribution?

The Poisson distribution is a discrete probability distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.

What Are the Poisson Distribution's Assumptions?

To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.

What is the justification for the above result?

According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7

Probability (P) that no more than three customers arrive is notated as P(X≤3)

= P(X=0) + P(X=1) + P(X=2) + P(X=3)

= Poisson (3,7,1)  

= 0.0817

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Answer:

There are 3 tennis balls in every can

Step-by-step explanation:

18/6 = 3

The result is -

Rational are numbers which can be written with in form p/q, in which q and p are integers and q≠0. is a negative number.

For the given number-

π, 5/4, -8, 2.35 bar, 19/7, 8, 0

All numbers except π are rational as they are either ending number or have the bar which means they will repeat after some point.

π is the only number which have the value 3.14........and so o such that, it is nether terminating nor repeating.

Thus, π is the irrational number.

Therefore, rational numbers are- [5/4, -8, 2.35 bar, 19/7, 8, 0]

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Answer:

5x-8=42

Step-by-step explanation:

5x-8=42

   +8  +8

5x=50

50÷5

10

Answer:

a = −b + p + 8

Step-by-step explanation:

a + b - 8 = p solve for a

a + b - 8 = p

subtract b from both sides:

a + b - 8  - b = p - b

a - 8 = p - b

add 8 to both sides:

a - 8 + 8 = p - b + 8

a = p - b + 8

rearrange for alphabetical order:

a = −b + p + 8

Answer:

a = p + 8 - b

Step-by-step explanation:

Step 1: Add 8 both sides

[tex]\displaystyle{a+b-8+8=p+8}\\\\\displaystyle{a+b=p+8}[/tex]

Step 2: Subtract b both sides

[tex]\displaystyle{a+b-b=p+8-b}\\\\\displaystyle{a=p+8-b}[/tex]

Note: You can also subtract b both sides first then add 8 both sides.

Therefore, the new equation when a-term is the subject is [tex]a=8+p-b[/tex].

Please let me know if you have any questions!

Answer:9x-4

Step-by-step explanation:

Answer:

It simplifies to 9x-4

x= 4/9 or 0.4

Step-by-step explanation: