I am having trouble on figuring out how to write this out to solve it. ​

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).

Answer:

<

Step-by-step explanation:

Need points :(

Answer:

Step-by-step explanation:

x+23+x=90

2x=67

x=33.5

Answer:

Matemito Matematik Atölyem 5 - Arı Yayınlarının

Step-by-step explanation:

Hoca Kaynak olarak aldırdı çok iyi.

Answer:

3/15 < 1/3

Step-by-step explanation:

We have two fractions, 3/15 and 1/3. The question is asking us to compare them using the less than sign <, greater than sign >, or equal sign =.

To solve this question, what we must do is try to get both fractions the same denominators, which will be done through multiplying 3 by a certain number to get to 15, then doing the same for the numerator.

So what multiplied by 3 gets us 15?

5.

Multiply both the numerator and denominator by 5.

[tex]\frac{1*5}{3*5}[/tex]

[tex]\frac{5}{15}[/tex]

Now that they both have the same denominator, we can compare and see which is bigger.

5/15 (1/3) and 3/15.

By this we can see that 3/15 is less than 5/15.

Therefore 3/15 < 1/3

Answer:

c

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

17 2+2+2+2+2+2+2+2+1

Step-by-step explanation:

the bucket contains 13 and 6

Answer:

The final balance is $113,645.52.

The total compound interest is $104,195.52.

Step-by-step explanation:

Answer:

m=-36

Step-by-step explanation:

(3)m/3=-12(3) multiply by three to cancel out

m=-36

hope this helps :)

Question:

m/3 = -12

Answer:

m=-36

-36/3=-12

Answer = FALSE because

4×2/3 = 4

it less than 2/3 since 2/3 = 0

so answer will be false

Answer:

Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!

Step-by-step explanation:

Answer:

y - 3 = -2(x + 4)

Answer:

8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets

Step-by-step explanation:

15 necklaces and 1 bracelet equals $38.75

8 necklaces and no bracelets equals 20

no necklaces and 16 bracelets equals 20

3 necklaces and 8 bracelets equals 17.5

no necklaces and 8 bracelets equals 10

5 necklaces and 6 bracelets equals 20

Answer:

force (f)= 14000N

acceleration (a)=5m/s²

mass (m)=?

we have,

f=ma

14000=m×5

14000/5=m

2800=m

therefore Mass is 2800kg

Answer: -7 is the y intercept

Step-by-step explanation:

Step-by-step explanation:

Gas Station (2,7) -> y = [tex]\frac{1}{2}[/tex]x + 6 if you plug in the numbers it becomes 7 = 1 + 6

Grocery Store (6,3) -> x + 6y = 24 plug in the numbers it becomes 6 + 18 = 24

Bowling Ally (1, -3) -> 6x + 3y = -3 plug in numbers 6 -9 = -3

Movies (7, -7) -> y = -7 because the y coordinates for the movies = -7

Park(-2, -4) -> -6x + 2y = 4 plug in the numbers 12 - 8 = 4

Coffee Shop (-6, -8) -> -10x + 5y = 20 plug in the number 60 - 40 = 20

Gym (-8, -3)-> y = - [tex]\frac{1}{2}[/tex]x - 7 plug in the numbers -3 = 4-7

School (-6, 6) -> y = - [tex]\frac{1}{3}[/tex]x +4 plug in the numbers 6 = 2 + 4

6x + 3y = -3 quadrant II is (-x, y)

rearrange the equation:

3y = -6x - 3

y = -2x - 1

if x is -1,  y will be 2 -1 = 1. So another solution for this equation is (-1, 1).

Answer:

9%

Step-by-step explanation:

9% of 500 is 45

Answer:

Let the 'cart' total is x and total payment is y.

The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.

There are three intervals as below and function added accordingly:

y = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.

-----------------------------------------

Answer:

25 in by 45 in.

Step-by-step explanation:

The length of the box will be x + 20 - 10 - 10 = x

The width of the box will be x - 10 - 10 = x - 20

The height of the box will be 10

So the volume = length x width x height

                        = x(x - 20)10 = 1250

                        =   [tex]10x^{2} - 200x = 1250[/tex]

                         [tex]10x^{2} -200x - 1250 = 0[/tex]

                           [tex]10(x^{2} -20x - 125)\\[/tex] = 0

                          10(x + 5)(x - 25) =0

                                 x = -5      x = 25

- 5 must be discarded since a length cannot be negative.  

Therefore x = 25 in = width of piece of cardboard

            x + 20 = 25 + 20 = 45 in = length of piece of cardboard

Answer:

121

Step-by-step explanation:

Find out the amount of units Ismail have more than Johan.

11 - 7 = 4 units

Since Ismail has 44 more sweets than Johan and 4 more units..

4 units = 44

1 units = 44 ÷ 4 = 11

Altogether, there's 11 units.

11 units = 11 x 11 = 121

===================================================

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (6-3)/(-9-(-2))

m = (6-3)/(-9+2)

m = 3/(-7)

m = -3/7

This means each time you go down 3 units, you go to the right 7 units.

Slope = rise/run = -3/7

rise = -3 and run = 7

Answer:

C. concurrent power

Step-by-step explanation:

Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.

Answer:

64

Step-by-step explanation:

Answer:

The answer is 61˙

Step-by-step explanation:

The total trapezoid is supposed to equal to 360

100 + 130 + 66 + x

230 + 66 + x

299 + x

360 - 299 = 61

Answer:

12, 17, 30.

Step-by-step explanation:

Given

(a) to (d)

Required

Which cannot represent a triangle

The rule to use is:

[tex]a + b > c[/tex]

So, we have: 12, 17, 30.

[tex]12 + 17 > 30[/tex] ===> [tex]29 > 30[/tex] --- False

[tex]12 + 30 > 17[/tex] ==> [tex]43 > 17[/tex]

[tex]17 + 30 > 12[/tex]

Because, one of the inequalities is False, then this can not represent the sides of a triangle.

Answer:

Y=-2

Step-by-step explanation:

-2y is right in between the figure.

Hope this helps!

Answer:

I think she will need One and 1/2 cups of flour

Step-by-step explanation:

please let me if I RIGHT

Answer:

the answer would be (2,4)

x=2 y=4

Answer:(2,4)

Step-by-step explanation: n o t h a n k y o u