a triangle is inscribed inside another triangle . the base of the interior triangle is 9cm. what is the area of the shaded region?
a. 54cm
b. 81cm
c. 108cm
d. 162cm

Answer:

y + 3 = 2 (x - 4)

Step-by-step explanation:

y - y₁ = m (x - x₁)

substitute (4, -3) in for (x₁, y₁)

y - (-3) = m (x - 4)

substitute the slope (2) in for m (m=slope) and simplify (y - (-3)) to (y +3) because subtracting a negative is the same as adding a positive

y + 3 = 2 (x - 4)

and that's your final answer! hope this helped :)

Answer:

the first, third, and the forth

Answer:

y=3x+2

Step-by-step explanation:

Refer to the picture that given :)

Answer:

I think the answer may be

X=2

Step-by-step explanation:

x÷3+x=x÷6-1

Add the common factors together to get

2x÷3=x÷6-1

subtract on the right side to get

2x÷3=x÷5

subtract 3 from both sides to get

2x=x÷2

subtract x from both sides to get

1x=2

Answer:

d = dependant; t = independant

Step-by-step explanation:

The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.

Answer:

[tex]D[/tex] = dependent; [tex]t[/tex] = independent

Step-by-step explanation:

[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].

[tex]t[/tex] is the independent variable since it is the input variable which can be changed.

Hope this helps :)

Answer:

105 girls

Step-by-step explanation:

girls : boys

7 : 4

Let total number of people in art be (7 + 4)x.

4x = 60

x = 15

no. of girls = 7x = 7 x 15 = 105

This is a question on ratios and proportions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer: 3ab   IF a^b does NOT mean a to the power of b!

I believe you mean  9a²b and 30ab³

If you really mean 9aᵇ and 30ab³,  then the GCF is 3a.

Step-by-step explanation:

the factors of  9 are 3*3  The factors of 30 are 2*3*5.

The only common factor of 9 and 30  is 3

a is a common factor of a and a²

b is a common factor of b and b³

Answer:

12$ per lawn mowed

Step-by-step explanation:

Answer:

The solution to the system of equations is x = 4 and y = 2.

Step-by-step explanation:

From statement we know that the first line is [tex]y = 0.5\cdot x[/tex]. The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:

[tex](x_{1},y_{1}) = (3,1)[/tex] and [tex](x_{2}, y_{2}) =(-5,-7)[/tex]

[tex]3\cdot m + b = 1[/tex] (1)

[tex]-5\cdot m + b = -7[/tex] (2)

The solution of the system of equations is:

[tex]m = 1[/tex], [tex]b = -2[/tex]

The second line is represented by [tex]y = x-2[/tex]. And the resulting system of equations is:

[tex]0.5\cdot x -y = 0[/tex] (3)

[tex]x-y = 2[/tex] (4)

The soltuion to the system of equations is:

[tex]x = 4[/tex], [tex]y = 2[/tex]

The solution to the system of equations is x = 4 and y = 2.

4w-24≤-12

4w≤12

w≤3

the answer i got is fifth first

Answer:

we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=1-2x\\g(x)= \frac{1}{x}\\h(x)=x^3+1[/tex]

We need to find value of [tex]gf(2)[/tex]

[tex]gf(2)=g(f(2))[/tex]

First putting f(x) inside of g(x) and then putting x=2

[tex]gf(x)=g(f(x))\\gf(x)=\frac{1}{1-2x}[/tex]

Now putting x=2 to find [tex]gf(2)[/tex]

[tex]gf(x)=\frac{1}{1-2x}\\gf(2)=\frac{1}{1-2(2)}\\gf(2)=\frac{1}{1-4}\\gf(2)=\frac{1}{-3}\\gf(2)=-\frac{1}{3}[/tex]

So, we get [tex]\mathbf{gf(2)=-\frac{1}{3}}[/tex]

Answer:

I think its e

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

If there are 9 pages left, that means you have already read 70 pages.

Since you read 10 pages a day, we can find how many days you have been reading the book by dividing 70 by 10:

70/10

= 7

This means you have been reading the book for 7 days

Answer:

7 days

Step-by-step explanation:

With 9 pages left take 79-9 to get 70 pages.

70 pages at 10 pages a day is 70/10 and you get 7 or 7 days.

Answer:

1st question: $2.00 2nd question: $5.50 3rd question: 7 oz.

Step-by-step explanation:

4 x 50= 2 = $2.00

11 x 50= 550 = $5.50

7 x 50= 350 = $3.50

Answer:

measure the length of the area.and the width of the area. using feet

Answer:

G. 19 is your answer dear

Step-by-step explanation:

9(3)-4(2)

27-8 = 19

Answer:

x = 104°

Step-by-step explanation:

180-76=104

z = 104°

z and x are vertical from each other, therefore, z = x

Answer:

There are 19 quarters and 8 dimes.

Step-by-step explanation:

We will let x denote the amount of quarters.

Since there are 27 coins in total, (27-x) will be the amount of dimes there are.

Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.

And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).

We know that the total value of all 27 coins is $5.55. So, we can write the following equation:

[tex]0.25x+0.1(27-x)=5.55[/tex]

So, we will determine the value of x, the amount of quarters there are.  

First, let’s multiply everything by 100 to remove the decimals. So:

[tex]100(0.25x+0.1(27-x))=100(5.55)[/tex]

Distribute:

[tex]25x+10(27-x)=555[/tex]

Distribute:

[tex]25x+270-10x=555[/tex]

Combine like terms:

[tex]15x+270=555[/tex]

Subtract 270 from both sides:

[tex]15x=285[/tex]

Divide both sides by 15:

[tex]x=19[/tex]

So, the value of x is 19.

This means that there are 19 quarters.

So, the amount of dimes must be 27-19 or 8 dimes.

9514 1404 393

Answer:

Step-by-step explanation:

When working mixture problems, it can be convenient to write a single equation using the variable to represent the highest-value contributor to the total value.

Here, we can let q represent the number of quarters. Then the number of dimes is 27-q.

The total value (in cents) is ...

  25q +10(27 -q) = 555

  15q +270 = 555 . . . . . . . collect terms

  15q = 285 . . . . . . . . . subtract 270

  q = 19 . . . . . . . . divide by 15

  27 -19 = 8 . . . . . the number of dimes

There are 19 quarters and 8 dimes.

_____

Check

19 quarters have a value of 19×$0.25 = $4.75

8 dimes have a value of 8×$0.10 = $0.80

Then the total value of the 27 coins is $4.75 +0.80 = $5.55

_____

Additional comment

This is equivalent to working the problem by substitution where you write two equations ...

Then solve for d and substitute, leaving the variable q.

  d = 27 -q

  10(27-q) +25q = 555 . . . . the equation we wrote above

Of course, this pair of equations can be solved any convenient way, including elimination, matrix methods, and graphing.

You will find that if you eliminate the 'q' variable, you may end up dealing with negative coefficients in the equation. That is why I prefer to keep 'q' and eliminate 'd'.

Answer:

P

Step-by-step explanation:

P tells us that the Domain: 3,-1,4,2 doesn't repeat

Q does repeat its Domain: 7,5,-1,5

Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.

Example: (5,-3), (5,9) Not a function

                (-1,-6), (7,-6) Function

Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.

A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.

In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.

Therefore, the set of ordered pairs that represents a function is: set P.

Learn more about a function on:

https://brainly.com/question/10439235

#SPJ2

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

Answer:

they very much are there

Step-by-step explanation:

Answer:

37.5 degrees

Step-by-step explanation:

All triangle angles must sum up to 180 degrees

63 + 90 = 153

153 = 4x + 3

150 = 4x

37.5 = x

Answer:

C

Step-by-step explanation:

Ferdinand's equipment is higher than Rachel's equipment.

Answer:

pq =28

Step-by-step explanation:

you set up the equation by making them equal each other 3x+4= 5x-12 and solve From there

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[tex]y = - \frac{1}{4} x + 4 \\ [/tex]

Multiply sides by 4

[tex]4 \times y = 4 \times ( - \frac{1}{4} x + 4) \\ [/tex]

[tex]4y = 4 \times ( - \frac{1}{4} x) + 4 \times 4 \\ [/tex]

[tex]4y = - x + 16[/tex]

Add sides x

[tex] + x + 4y = + x - x + 16[/tex]

[tex]x + 4y = 16[/tex]

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The correct answer is (( C )) .

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The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

Answer:

hi how are you doing

Step-by-step explanation: