Given: \overline{AE} \parallel \overline{FD},

AE

∥

FD

, \overline{BF} \parallel \overline{EC}

BF

∥

EC

and \overline{AC} \cong \overline{BD}.

AC

≅

BD

.


Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)

Answer:

[tex]5k^2-4k>0[/tex]

[tex]k(5k-4)>0[/tex]

In the image attached, you want the values above 0. Thus, the values of k would be in the red area, which is

[tex]k<0[/tex] or [tex]k>\frac{4}{5}[/tex]

Answer:

g= -2

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

1. open the parentheses: 3(5-g)= 15-3g= 21

2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)

15- 3g= 21  =  -3g= 21- 15

-3g= 6

3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.

Hence, g= -2

Hope this helps!

let me know if t does and if the answer is right.

Answer:

You can use the model to show the fractions alongside each other.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]

[tex] \implies \mathsf{ - 1 }[/tex]

Hence, the slope of the line joining the given points is -1.

Answer:

-1

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

The equation of the graph is y = 1/3x  + 4

The slope 1/3 and 3 are opposite reciprocals, which indicates that the two lines are perpendicular.

-Chetan K

Answer:

16, 32, and 64

Step-by-step explanation:

The number is being doubled every time.

Answer:

[tex]x=\frac{y-3}{2y-3}[/tex]

Step-by-step explanation:

[tex]y=2+\frac{1+x}{1-2x}[/tex]

First, subtract 2 from both sides:

[tex]y-2=\frac{1+x}{1-2x}[/tex]

Multiply both sides by (1 - 2x):

[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]

Subtract 1, subtract x, and add 2xy to both sides:

[tex]y-3+3x=2xy[/tex]

Subtract 3x from both sides:

[tex]y-3=2xy-3x[/tex]

Factor out the x:

[tex]y-3=x(2y-3)[/tex]

Finally, divide both sides by (2y-3):

[tex]x=\frac{y-3}{2y-3}[/tex]

Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.

Answer:

x = 35 ,y = 35

Step-by-step explanation:

x = 35

y = 35

Answer:

y= 132, x= 32.6

Step-by-step explanation:

Let me know if this is right!

Hope it helps

Answer:

2x^2=-8

2x^2/2=-8/2

x^2=-4

x=2

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

x = 3

Step-by-step explanation:

x² + 15  =  x² + 5x

      15 = 5x

      15 ÷ 5 = x

          3 = x

Answer:

4500

Step-by-step explanation:

Answer:

Step-by-step explanation:

the bottom left is the answer. I hope this helps.

Answer:

10x+5.................

Answer:

yes, the rate of change is constant and it equals -300ft/1min

it represents the number of feet the airplane descends per minute

Step-by-step explanation:

Given,

The product of Algebraic Expression is equal to the ________ of their H.C.F& L.C.M.

Solution,

Consider the the numbers are a, b.

a \times b = LCM\,of\,\left( {a,b} \right) \times HCF\,of\,\left( {a,b}Given,

Answer:

Lily can invite 8 friends ,

10 times 8 equals 80

80 plus 45 equals 125

Step-by-step explanation:

Answer:

t = (A - P) / Pr

Step-by-step explanation:

A = P + Prt

A - P = Prt

(A - P) / Pr = t

t = (A - P) / Pr

Answer:

V = x^15

Step-by-step explanation:

(x^5)^3 = x^15

Answer:

Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think

Step-by-step explanation:

Answer:

-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667

Hope This Helps!!!

Answer:

6 29/30 or 209/30

Step-by-step explanation:

-7/10+  7 2/3

-7/10+23/3

-21/30+ 230/30

209/30

which is 6 29/30

Answer:

Step-by-step explanation:

Set a system of equations as below:

Multiply the first equation by 150 and subtract from the second equation.

This will eliminate y, solve for x:

Answer: 1051.875 inches^3

Step-by-step explanation:

To find the volume of the briefcase, we'll use the formula: L*W*H where;

L = Length

W = Width

H = Height

So we'll have (16.5×12.75×5) inches^3

Which will give 1051.875 inches^3

Answer:

[tex]\frac{1}{9}[/tex] , 3 , 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{0}[/tex] = 1

(a)

[tex]6^{-x}[/tex] = [tex]\frac{1}{6^{x} }[/tex] = [tex]\frac{1}{9}[/tex]

(b)

[tex]6^{\frac{x}{2} }[/tex] = [tex]\sqrt{6^{x} }[/tex] = [tex]\sqrt{9}[/tex] = 3

(c)

[tex]6^{0}[/tex] + [tex]6^{x}[/tex] = 1 + 9 = 10

Answer:

268

Step-by-step explanation:

1608/6= 268

hope this helps!

Answer:

15.70cm

Step-by-step explanation:

add to get total

4.26+7.54+3.90

Answer is 15.70cm

Answer:

15.7 cm

Step-by-step explanation:

The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.

Answer:

see below

Step-by-step explanation:

y=mx+b: slope and intercept

ax+by/c: standard

(x-x1)*m=y-y1: point slope