Problem 1 :
Given: HJ= 4x + 9, JK = 30 + 3, and KH = 33 Find: x, HJ, and JK​

Answer:

Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result.

Step-by-step explanation:

We must remember that location of midpoint of any line segment can be determined by using this formula in function of the endpoint locations:

[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right)[/tex]

Where:

[tex]x_{M}[/tex], [tex]y_{M}[/tex] - Location of midpoint, dimensionless.

[tex]x_{R}[/tex], [tex]y_{R}[/tex] - Location of endpoint R, dimensionless.

[tex]x_{S}[/tex], [tex]y_{S}[/tex] - Location of endpoint S, dimensionless.

Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result. That is:

[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right) = \left(\frac{x_{S}+x_{R}}{2}, \frac{y_{S}+y_{R}}{2} \right)[/tex]

Answer:

3752mm or 3752 millimeter

Step-by-step explanation:

We are told in the question that Sara knits 469 mm everyday.

Hence, this can be expressed as:

1 day, she knits = 469 mm

8 days =

Cross Multiply

469mm × 8

= 3752mm

Therefore the amount of scarft she would have knitted after 8 days = 3752mm

Answer:

(C) 50π

Step-by-step explanation:

For this problem, we need to find a way to relate the inner circle, to the square, to the outer circle.

Given that we know the area of a circle is πr^2, and our inner circle has a area of 25π, we can find the radius.

25π = πr^2

25 = r^2

5 = r

Note, that the diameter of the inner circle is parallel to the side of the square, meaning that the diameter of the inner circle is the length of the side of the square.

diameter = 2 * radius

d = 2 * 5 = 10.

Now that we know the value of the side of the square, we can find the length of the diagonal of the square, which is the diameter of the outer circle.

Using the properties of the 45-45-90 right triangle, we can say that the diagonal of the square is the length of the side times sqrt(2).

Outer_Diameter = 10 * sqrt(2)

Now to find the outer area, we need the formula for the area of a circle.  Note that the diameter is twice the radius, so we will simply divide by 2.

A = πr^2

A = π * [ ( 10 * sqrt(2) ) / 2 ]^2

A = π * [ 5 * sqrt(2) ] ^2

A = π * 25 * 2

A = 50π

So the area of the outer circle is 50π.

Cheers.

Answer:

44

Step-by-step explanation:

180-48/3 to find the value of x

Aaron 14 years

Devon 17 years

D = A + 3

D + A = 31

replace D

A + 3 + A = 31

2A = 31 - 3

2A = 28

A = 14 years

D = 17 years

Answer:

  16x -2

Step-by-step explanation:

You know how to compute the perimeter of a rectangle of length L and width W:

  P = 2(L+W)

Here, you're asked to use the given algebraic expressions for length and width and simplify the result of putting those in the perimeter formula.

  P = 2((5x-2) +(3x+1))

  P = 2(8x -1)

  P = 16x -2 . . . the perimeter of the rectangle

Answer:

ummm

Step-by-step explanation:

Answer:

r < 3

Step-by-step explanation:

Step 1: Write out inequality

5r + 2 < 17

Step 2: Subtract 2 on both sides

5r + 2 - 2 < 17 - 2

5r < 15

Step 3: Divide both sides by 5

5r/5 < 15/5

r < 3

In this case, r has to be smaller than 3. So anything like -2, -15, or even -12413573875942 works as r, as long as it's smaller than 3.

Answer:

it looks like you are trying to find x in this problem so x= -6

Answer:

Step-by-step explanation:

3 + 5x = 3x -9

-3  -3x   -3x  -3

2x = -12

2x/2 -12/2

X=     -6

Answer:

x = 4

Step-by-step explanation:

[tex]x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

Answer:

x=65

Step-by-step explanation:

you have to get all variables to one side so you would subtract 6 from seven getting one and then add 35 to 30 giving you 65 :)

Answer:

x = 65

Step-by-step explanation:

7x - 35 = 30 + 6x First subtract 6x from both sides

x - 35 = 30 Then add 35 to both sides

x = 65

Answer:

Step-by-step explanation:

I think the answer C x=42 y=30, correct me if i'm wrong

Answer: miles

because hes measuring in miles and i answered this same question today

Answer:21ft and 79ft

Step-by-step explanation:

Answer:

21 and 79 ft

Step-by-step explanation:

Answer:

(260/4)*18 = 1,170 miles

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

I guess you mean 45/125

they are divisible by 5

45/5 = 9

125/5 =25

9/25

Answer:

[tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]

Step-by-step explanation:

Before adding we require the fractions to have a common denominator.

Multiplying the numerator/ denominator of the first fraction by (x + 5)

Multiplying the numerator/ denominator of the second fraction by (x + 3)

= [tex]\frac{x+5}{(x+3)(x+4)(x+5)}[/tex] + [tex]\frac{2(x+3)}{(x+3)(x+4)(x+5)}[/tex]

Now add the numerators leaving the common denominator

= [tex]\frac{x+5+2x+6}{(x+3)(x+4)(x+5)}[/tex]

= [tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]

Answer:

23, 11, -13

Step-by-step explanation:

y+6(-2)=11

y-12=11

y=23

y+6(0)=11

y+0=11

y=11

y+6(4)=11

y+24=11

y=-13

Step-by-step explanation:

(-3x-4) is -12. -12

(5-5x) is x. x

9-7 is 2. 2

+8. +8

-2+x

9+24x+4+ 40-40x

53-16x

Answer:

-14

Step-by-step explanation:

Answer: 1372.33

Step-by-step explanation: add it all up

Addition can be defined as the process of adding two numbers. The total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

To make a profit the Better builder company needs to add all the expenses and the profit they need to make. Therefore, the sum can be written as,

Total Bil = $672.25 + $86.77 + $39.41 + $180.96 + $204.35 + $225

              = $1408.74

Hence, the total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.

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Answer:

Step-by-step explanation:

123+4 =127

Answer:

no solution

Step-by-step explanation:

Given

2(n + 2) = 4n + 1 - 2n ← distribute parenthesis on left side

2n + 4 = 2n + 1 ( subtract 4 from both sides )

2n = 2n - 3 ( subtract 2n from both sides )

0 = - 3 ← not possible

This indicates the equation has no solution

The original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.

To solve the equation 2(n + 2) = 4n + 1 - 2n, we can simplify and then solve for the variable n.

First, distribute 2 to the terms inside the parentheses:

2n + 4 = 4n + 1 - 2n

Next, combine like terms on the right side:

2n + 4 = 2n + 1

Now, subtract 2n from both sides to isolate the n term:

2n - 2n + 4 = 2n - 2n + 1

4 = 1

Since 4 is not equal to 1, there is no solution to this equation.

Therefore, the original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.

Learn more about Equation here:

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Answer:

x=2

Step-by-step explanation:

to find x- intercept substitute y=0

move variable to the left hand side and change its sign -5x=-10

then divide both sides of the equation by -5

and the final answer is x=2

hope this helps!

Answer:

8

Step-by-step explanation:

This is because the expression is already in decimal form

Answer:

-3(x + 6)(x + 2)

Step-by-step explanation:

FACTOR

-3(x² + 8x + 12) FIND TWO #'S THAT ADD TO 8 AND MULTIPLIES TO 12

-3(x + 6)(x + 2)

Answer:

5 hours

Step-by-step explanation:

49 - 14 = 35 and 35 ÷ 7 = 5