Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.

Answer:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

Step-by-step explanation:

In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).

From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.

So, there are two ways in which we can build a quadratic equation:

Standard form:

[tex]y=ax^{2}+bx+c[/tex]

or

Vertex form:

[tex]y=a(x-h)^{2}+k[/tex]

Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)

So in this case: h=0 and k=5, which simplifies our equation a lot:

[tex]y=a(x-0)^{2}+5[/tex]

[tex]y= ax^{2}+5[/tex]

So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:

[tex]0=a(7)^2+5[/tex]

and now we can solve for a:

[tex]-5=49a[/tex]

[tex]a=-\frac{5}{49}[/tex]

so this completes our equation:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

whose graph looks like the one in the attached picture.

Answer:

nearest tenth is 23.5

nearest hundredth is 23.55

Step-by-step explanation:any number more than 5 is rounded up to +1 for the next number so for tenth 23.546= 23.5 and for hundredth 23.546=23.55

Answer:

using distance formula you can solve it

Answer:

the median score would be between 510 and 520

Step-by-step explanation:

The computation of the median score is shown below

In the case of the continuous probability distribution, the median value is the mid value in which the number is equal to fall to above or below it

Here

P(X = median) = 0.5 = 50%

So the median score would be between 510 and 520

Hence, the same is to be considered

Answer:

He originally spent 120$

He made 12 extra dollars.

Step-by-step explanation:

To solve this I turned the 110% into a decimal.

So I divided 110 by 100 and got 1.1

In order to find the original number you would then need to divide the total cost of the bicycle and helmet together by 1.1

So, 116 + 16 = 132

132/1.1= 120

Hope this helps

Answer:

yes it would be proportional because it goes through the origin

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3x3x3=9; if you break it apart, 3x3= 9, then multiply that by the last 3, which will give you 27.

Hope that helped!

Answer:

30,000

Step-by-step explanation:

If she gets all 50 at 600 per month, 50x600 is 30,000.

I hope this helped!

Answer:

365

Step-by-step explanation:

2+3+180+180=

It is E

Duhhhhhhhhhhhhh

Answer:

about  3.21 hours each

Step-by-step explanation:

First divide 330 by 6 since there are six people.

Every person needs to do 55 decorations.

I would take the average of 2-4 minutes and multiply it by 55.

55 x 3.5 = 192.5 minutes

to convert to hours divide by 60.

192.5 / 60 = 3.21

Answer:

D) -1

Step-by-step explanation:

got it right on edge :)

Vector addition is done by addition of the components

The value of a is -1

a = –1

Reason:

The given parameters are;

q = <-4, 1>

r = <a, 3>

7·(q + r) = <-35, 28>

Required:

The value of a

Solution;

By vector addition of the components of q, and r, we have;

q + r =  <(-4 + a),    4>

By plugging in the value of q + r from the above step, we have;

7·(q + r)  = <-35, 28> Given

Therefore, by comparison of components, we have;

7 ×(-4 + a) = -35

a = -5 + 4 = -1

a = –1

The correct option for the value of a is –1

Learn more here:

https://brainly.com/question/2927458

Answer:

7627.36

Step-by-step explanation:

95342 * 8% = 7627.36

Answer:

Marcus earns 15% commission on his total sales at work.

Suppose Marcus's sales totaled $725 last week. How much did he earn in commission?

A.

$833.75

B.

$616.25

C.

$108.75

D.

$10.88

Step-by-step explanation:

Answer: 45% were completely satisfied with the car.

Step-by-step explanation: You have to divide 1080 by 2400 and then change the deciman into a percentage.

Answer:

k

Step-by-step explanation:

k=k

Answer:

[tex] y = - 1x + b[/tex]

Step-by-step explanation:

The inverse of a slope is the exact opposite slope of the original. I'll show a function below where you can easily solve future problems if you need to.

[tex] - \frac{1}{m} x[/tex]

m is the slope, so for the equation above, you simply insert the original slope, being 1, in the equation.

[tex] - \frac{1}{1} x \\ - 1x[/tex]

So the inverse slope would be -1.

Answer:1/2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first term (a) = 9

the 37th term is what we want (n = 37)

d = - 6

t_37 = 9 + (n - 1) * (-6)

t_37 = 9 + 36 * - 6

t_37 = 9 - 216

t_37 = - 207

Answer:

Answer Choice B

Step-by-step explanation:

f(x) is just another way of saying y=.

To inverse, just flip the x & y and isolate the y variable.

[tex]x=-y^3-9\\x+9=-y^3\\-x-9=y^3\\\sqrt[3]{-x-9}=y[/tex]

Answer:

15-(-26)

Step-by-step explanation:

positive is lower than negative so the remaining number will be negative.

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). Formula to be used,

   A = P(1 + i)ⁿ

       = 100(1 + 0.09)¹

       = $109

b). Formula to be used,

   A = [tex]P(1+\frac{i}{12})^{12n}[/tex]

       = [tex]100(1+\frac{0.09}{12})^{12\times 1}[/tex]

       = [tex]100(1+0.0075)^{12}[/tex]

       = 100 × 1.0938

       = $109.38

(c). Formula to be used,

     A = [tex]Pe^{i\times n}[/tex]

         = [tex]100e^{1\times 0.09}[/tex]

         = [tex]100(e)^{0.09}[/tex]

         = $109.42