Proving the Parallelogram Side Theorem

Given: ABCD is a parallelogram.
Prove: AB=CD and BC=DA
Angles Segments Triangles Statements Reasons ZBAC ZBCA DAC ZDCA B с Statements Reasons A Assemble the proof by dragging tiles to the Statements and Reasons columns. ​

Answer:

y = 1/2 x + 3

Step-by-step explanation:

mid point of line BC = (2, 4)

slope of the line containing median (m) = 1/2

y intercept (b)= 3

since y = mx + b

y = 1/2x + 3

The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.

A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.

The median of an equilateral triangle also an angular bisector.

Given that,

The coordinates of A = (-2, 2)

The coordinates of B = (4, 10)

The coordinates of C = (0,-2)

Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).

Now, to find the equation of median through A there are two points (-2,2) and (2,4).

Thus the equation of median an be written as,

(y-2)/(x+2) = (4-2)/(2-(-2))

=> y - 2 = 1/2(x+2)

=> y = 1/2(x+2) + 2

=> y = 1/2 x + 3

Hence, the equation of the line is y = 1/2 x + 3.

To know more about Median click on,

https://brainly.com/question/2272632

#SPJ2

Answer:

7h+3=-11?

then h=-11-3 divided by 7

Step-by-step explanation:

Answer:

It is 10 (m=10)

Step-by-step explanation:

3 (10-2) + 14                  Subtract whats in the parentheses

3 (8) + 14                        Multiply 3 and 8

24 + 14                             Add the remaining to get the sum ( 24 + 14 )

38           (Your total)

~~~Hope this helps~~~

Answer:

Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.

The reverse is true.

Variance = Budgeted Amount - Actual amount

= 255 - 225

= $30

Percentage = Variance / Budgeted amount

= 30/255

= 11.76%

The variance is FAVORABLE because the actual amount was less than the budgeted amount.

Answer:

$9,724.05

Step-by-step explanation:

8000(1+.05)^4= 9724.05

sry if im wrong :)

The amount after 4 years will be equal to $9,724.05

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.

The amount after 4 years will be calculated as:-

[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]

[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]

A =  9724.05

Therefore, the amount after 4 years will be equal to $9,724.05.

To know more about Compound interest follow

https://brainly.com/question/24924853

#SPJ5

The correct answer is $30.5 or $31 if rounded

Explanation:

To find the total Rosa spent on the manicure, it is necessary to calculate the money spent on taxes and the money she tipped to the technician. The process is shown below:

Taxes:

$25 represents 100% of the cost and 7% percent represents the total taxes.

1. Write the values using x as the value you want to know

25 = 100

x   = 7

2. Use cross multiplication

x 100 =  175

3. Solve this equation

x = 175 / 100

x = 1.75 (Total price for taxes)

Tip:

Repeat the process but in this case calculate the 15% of $25

25 = 100

x =  15

x 100 = 375

x = 375 / 100

x = 3.75

Total: Finally, add the three values

$25 (cost of the manicure) + $ 1.75 (taxes) + $3.75 (tip) = $30.5 or $31 if rounded

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

Answer:

I have no idea butter needed points im sorryyy

Answer:

watch vedio

Step-by-step explanation:

gsinssuksbsi

Answer:

Please check the graph below.

Step-by-step explanation:

Given the function

[tex]y\:=\:x^2\:+\:6x\:+\:5[/tex]

Axis interception points of the function

x-axis interception points can be computed by setting y=0

[tex]x^2+6x+5=0[/tex]

[tex]\left(x+1\right)\left(x+5\right)=0[/tex]

Using the zero factor principle

if  [tex]\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x+5=0[/tex]

[tex]x=-1,\:x=-5[/tex]

Hence,

x-axis interception points are: (-1, 0), (-5, 0)

y-axis interception points can be computed by setting x=0

[tex]x^2+6x+5=0[/tex]

[tex]y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5[/tex]

[tex]y=0+0+5[/tex]

[tex]y=5[/tex]

Hence,

y-axis interception points are: (0, 5)

From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".

Also at the point x=-2, then y is = -3

So, all the points are labeled and the graph is attached below.

Answer:

84

It took a while

Answer:

-146

Step-by-step explanation:

Step-by-step explanation:

putting the value f(-9) in expression

= -(-9)^2-7×(-9)-2

= 81+63-2

=142

Answer:

4.0

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

4.1231056 is [tex]\sqrt{17}[/tex]

When rounding to the nearest tenth, we get

4.1

Hope I helped,

PumpkinSpice1

Answer:

23 dollars

Step-by-step explanation:

so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23

The negative sign represents the loss. Then the loss of Juan's will be $744.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.

The profit is calculated as,

Profit = $3,256 - $4,000

Profit = - $744

The negative sign represents the loss. Then the loss of Juan's will be $744.

More about the profit is given below.

https://brainly.com/question/15036999

#SPJ3

Answer:

p=-1/2

Step-by-step explanation:

4(4p+6)=16

4p+6=4

4p=4-6

4p=-2

P=-2/4

p=-1/2

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

            = x² + [-(i)²√(13)²]  [Since i = √(-1)]

            = x² - (i√13)²

            = (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

Answer:

2

Step-by-step explanation:

these are alternative interior angles so they are equal to each other (congruent) soooo

9x + 4 = 3x + 16

subtract:

9x = 3x + 12

6x = 12

divide

x = 2

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

Answer:

=(x-2)(x-3)

Step-by-step explanation:

This is what I got. I hope this can help you.

Answer: 90 seconds or 1 min. and 30 sec.

Step-by-step explanation:

72/4=18

18x5=90

The line is passing through (2, 0) and (0, 0.8) and the slope is 0.4. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

From the line, we can observe that the line is passing through (2, 0) and (0, 0.8).

Then the slope of the line will be

Slope = (0.8 – 0) / (0 – 2)

Slope = 0.4

Then the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

the lcm of 3 and 5 is 15 I hope this helps

Step-by-step explanation:

Answer:

The asnwer is the first one

Step-by-step explanation:

thx for the poins