**Answer:**

**Step-by-step explanation:**

**1. **4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]

4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )

[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]

**2****.**** **y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]

All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.

Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )

[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]

Hello, I really need help with this question. It is talking about true or false statement referring to a graph. Please tell me which statements are true or false.

I think it is False, False, True, True (starting from the top statement)

Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.

The value of **cement mixer** after **t year **is [tex]f(t) = 54,205(0. 87)^{t}[/tex]

Given to us

The value of **cement mixer** when **bought**, [tex]P[/tex]= $ 54,205

the value of** cement mixer** after** 1 year**, [tex]P_1[/tex]= $ 47,158. 35

the value of** cement mixer** after **2 year**,[tex]P_2[/tex]= $ 41,027. 76

To find out **depreciation **we can use the formula for** depreciation,**

[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]

By putting the value, in the formula we get,

[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]

Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in** depreciation formula** for [tex]t[/tex] years we get,

[tex]P_n= P(1-r)^n[/tex]

[tex]f(t) = 54,205(0. 87)^{t}[/tex]

Hence, the** value** of **cement mixer **after **t year** is [tex]f(t) = 54,205(0. 87)^{t}[/tex].

To know more visit:

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Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?

**Answer:**

good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer

The son **solved** 40 **problems** **correctly** out of the 60 problems he attempted.

An **expression** contains one or more **terms** with addition, subtraction, multiplication, and division.

We always combine the **like** **terms** in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's denote the number of **problems** the son **solved** **correctly** by "x".

According to the problem, for each **correct** **problem**, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.

Now,

**Total** **earnings** = 1 euro (x) - 0.5 euros (60 - x)

**Simplifying** this expression.

Total earnings = 1.5x - 30

We are given that the **son** won 30 euros in total, so we can set up the **equation**:

30 = 1.5x - 30

**Solving** for x.

1.5x = 60

x = 40

Therefore,

The son **solved** 40 **problems** **correctly** out of the 60 problems he attempted.

Learn more about **expressions** here:

https://brainly.com/question/3118662

#SPJ2

The complete question.

A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?

A?

B?

C?

D?

Who ever is right gets brainlest<3

**Answer:**

i think that the answer is b

hope it helps

When you find the square root of 140 your answer would be D

Jayden purchases a television when his local electronics store had a sale. The television was 40% off its original price of $672. What was the sale price that jayden paid?

**Answer:**

The sale price he paid for the TV was $403.20

**Step-by-step explanation:**

You multiply the original price by .4 (40%). Then, you subtract that number from $672 to find the price Jayden paid! :)

Write 8% as a fraction or mixed number in simplest form.

please help me

The simplest form of fraction for 0.8 is 4/ 5.

Math riddle! Correct answer gets brainliest!

Answer with what x and y are equal to.

**Answer:**

[tex]\displaystyle [9, 4\frac{1}{2}][/tex]

**Step-by-step explanation:**

I figure these exercises out by **numeric association**. I see a 3, so I know right away that there *might* be a 9 somewhere. So, you start by plugging 3 in for [tex]\displaystyle x,[/tex] THEN plug [tex]\displaystyle 1\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] sinse there are *twise** *the quantity of [tex]\displaystyle y[/tex] than there are of [tex]\displaystyle x.[/tex] Now, doing so will give you [tex]\displaystyle 24 ≠ 18.[/tex] This tells you to try another pattern, so go with plugging [tex]\displaystyle 4\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] and [tex]\displaystyle 9[/tex] in for [tex]\displaystyle x[/tex]. Doing so gives you what you are looking -- [tex]\displaystyle 36 = 36.[/tex] Therefore, the association wourked perfectly. ☑

I am joyous to assist you at any time.

That locked sign defines that both sides are equal.

The equations are

2x=4y=>x=2y--(1)3x+9=2x+4y=>x+9=4y=>x=4y-9--(2)From (1) and (2)

[tex]\\ \rm\Rrightarrow 4y-9=2y[/tex]

[tex]\\ \rm\Rrightarrow 2y=9[/tex]

[tex]\\ \rm\Rrightarrow y=9/2=4.5[/tex]

Put in eq(1)

x=2(4.5)=9Hence

(x,y)=(9,4.5)Donald plays with his wood cubes and decides to make a pyramid

P3 = 10

10 + 5 = 15 = P4

15 + 6 = 21 = P5

21 + 7 = 28 = P6

28 + 8 = 36 = P7

36 + 9 = 45 = P8

45 + 10 = 55 = P9

55 + 11 = 66 = P10

10 + 5 = 15 = P4

15 + 6 = 21 = P5

21 + 7 = 28 = P6

28 + 8 = 36 = P7

36 + 9 = 45 = P8

45 + 10 = 55 = P9

55 + 11 = 66 = P10

Can someone plz help with 21?? Thanks!

**Answer:**

4) -11.3...

**Step-by-step explanation:**

distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)

move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))

simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...

**Answer:**

option 4

**Step-by-step explanation:**

[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides

[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]

Multiply through by 30, the LCM of 6, 3, 15, 5

5x - 40 = 8x - 6 ( subtract 8x from both sides )

- 3x - 40 = - 6 ( add 40 to both sides )

- 3x = 34 ( divide both sides by - 3 )

x = - [tex]\frac{34}{3}[/tex] = - 11.333..

Dustin looks around at an assembly. He notices his younger sister to his right and his older brother 4.1 feet ahead of him. If Dustin's brother and sister are 8.8 feet apart, how far apart are Dustin and his younger sister? If necessary, round to the nearest tenth.

**Answer:**

So the answer would probably be 4.8 feet?

**Step-by-step explanation:**

Plz help me give me answer

**Answer:**

3

**Step-by-step explanation:**

**Answer:**

d

**Step-by-step explanation:**

Solve the system of linear equations by substitution: (SHOW UR WORK)

y=-x

y=3x-4

**Answer:**

x=1

y=-1

**Step-by-step explanation:**

they have already isolated y in both equations

label both equations

y=-x............1

y=3x-4........2

sub 1 into 2

-x=3x-4

-x-3x=-4

-4x=-4

x=1........ 3

sub 3 into 1

y=-(1)

y=-1

Which equations below represent nonlinear functions?

y = 4x + 16

y = x2 − 2

34x − 9 = y

y = 7x

y = −8x

Answer: y = x^2 - 2 does not represent a linear function because the squared exponent above the variable makes that equation quadratic. Quadratic equations look like parabolas on a graph, rather than lines.

PLEASE HELP I"LL GIVE BRAINLEST

Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?

46 multiplication problems

92 multiplication problems

69 multiplication problems

54 multiplication problems

**Answer:**

92 4× 23

**Step-by-step explanation:**

sorry if im incorrect

**Answer:**

Carl solves 69 multuplication problems

what is the slope of the line?

**Answer:**

5/3

**Step-by-step explanation:**

Use rise over run

it goes up five and goes right three.

If it were to go to the left it would be negative

Same rules apply if it were to go down it would be negative

5/3. It goes up five and over three. Use rise over run

Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°

. He is 20 feet from the base of the tree when he measures the angle. What is the height of the tree rounded to the nearest hundredth?

**Answer:**

86.63 ft

**Step-by-step explanation:**

The tangent relation applies.

Tan = Opposite/Adjacent

tan(77°) = (tree height)/(20 ft)

tree height = (20 ft)·tan(77°) ≈ **86.63 ft**

_____

*Additional comment*

It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.

Which answer best describes the system of equations shown in the graph?

A. Consistent and dependent

B. Inconsistent

C. Not enough information

D. Consistent and independent

Thanks.

**Answer:**

A. Consistent and dependent

**Answer:**

**D. Consistent and independent**

**Step-by-step explanation:**

A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)

B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)

C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve

**D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)**

[tex]8a⁴ × (9a)⁴ [/tex]

find the value of it

8a⁴ × (9a)⁴

8a⁴ × (9a)⁴= 8a⁴ × 9⁴a⁴= 8a⁴ × 6561a⁴[tex]= (8 × 6561) a ^{4 + 4} [/tex][tex]= 52488 a ^{8} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help ! If you're not starbright , please do not answer or i'll report , but if you have the right answer with correct proof , you won't get reported !

**Answer:**

**Step-by-step explanation:**

1) So -8+2v<2, 2v<10, v<5. That means that at "5" on the axis, you'll draw a circle that's *not* filled in (because it's <5, not [tex]\leq[/tex]5) and then draw a box-y thing to the left. Sorry, can't really describe it, but if you look at the picture attached, you'll understand

2) -12m-8[tex]\leq[/tex]-5m-7m, so -12m-8[tex]\leq[/tex]-12m, -8[tex]\leq[/tex]0. This one doesn't have a variable... so you can't really graph it?

today everything at a store is on sale the store offers a 20% discount the discount price of a hat is $18 what is the regular price

**Answer:**

$20

**Step-by-step explanation:**

The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.

Here is a diagram explaining the information

A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?

____meters by ___ meters

**Answer:**

18 meters by 9 meters (or 9 meters by 18 meters)

**Step-by-step explanation:**

lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters

Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?

**Answer:**

34 Model B gloves were sold

**Step-by-step explanation:**

[tex]\sf \sqrt{12} \times \sqrt{12}[/tex]

**Answer:**

[tex]12[/tex]

**Step-by-step explanation:**

[tex]\sqrt{12} \times\sqrt{12}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{12}\sqrt{12}=12[/tex]

[tex]=12[/tex]

The** value **of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12

To solve this problem, we have to convert the **surds** to **radicals** and then use the** law** of** indices** on this.

[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]

Addition Law of IndicesThis law is given as

[tex]a^m+a^n = a^(^m^+^n^)[/tex]

let's substitute the values in this question.

[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]

Let's apply the **law** and solve the **radical**

[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]

Solve the** fractions **

[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]

substitute the values and solve

[tex]12^\frac{1}{1}=12[/tex]

from the calculations above, the value of the** radical** is 12.

Learn more on** laws of indices** here;

https://brainly.com/question/10339517

Which of the following triangles shows a centroid?

**Answer:**

first option

**Step-by-step explanation:**

The perpendicular bisector of a line segment is called

**Answer:**

Circumcenter

**Step-by-step explanation:**

mile is going to give buddys dads company 5 hour and not a minute more. what part of the day is he giving them written as a fraction and a percent

The** fraction **of the **time** given in a day is **1/288**

**Given** the following parameters

We are to get the fraction of this time in a day.

**Convert** 1 day to minute

Fraction = 5/1440

Fraction = 1/288

Hence the** fraction **of the **time** given in a day is **1/288**

Learn more on **fractions** here: https://brainly.com/question/78672

The quadrilaterals JKLM and PQRS are similar.

Find the length x of RS.

Will mark brainliest!

The **measure of side x **equivalent to** RS is 42**

**Similar shapes** are shapes that have both **their sides and angles** to be **equal.**

Since both **quadrilaterals** JKLM and PQRS are similar, we will take the ratio of the sides as shown;

4/24 = 7/x

1/6 = 7/x

**Cross multiply**

x = 42

Hence the **measure of side x **equivalent to** RS is 42**

Learn more on **similar shapes** here: https://brainly.com/question/12960403

Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Janelys can use while staying within her budget.

**Answer:**

Less than 4.70 GB

**Step-by-step explanation:**

Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:

5x + 46.50 < 70

5x < 23.50 Subtract $45.60 from each side.

x < 4.70 GB Divide 5 from each side.

Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D

A rectangular garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangular garden has a length of 20.5 feet and a width of 12.4 feet. How many times greater is the area of the larger garden than the area of the smaller garden?

**Answer:**

3

**Step-by-step explanation**

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