In ΔDEF, the measure of ∠F=90°, the measure of ∠D=10°, and EF = 94 feet. Find the length of DE to the nearest tenth of a foot.

Answer: 2 − 8x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]

The solution to the equation is x = -2/3.

Two or more expressions with an equal sign are defined as an equation.

The given equation is  [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].

Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]

Hence, the solution to the equation is x = -2/3.

Learn more about equations here:

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Answer:

y = 8.49

Step-by-step explanation:

cos 45 = 6/y

0.7071 = 6/y

y = 8.49

Answer:

2q=8

q=4

Step-by-step explanation:

hope that helped you

Answer:

8q + 1 = 6q + 9

2q + 1 = 9

2q = 8

q = 4

Answer:

16 robots make noise

Step-by-step explanation:

Answer:

It will be 0.5 repeating so 0.555 because the 5 is repeating

9514 1404 393

Answer:

  0.56

Step-by-step explanation:

5/9 is the repeating decimal fraction 0.55555...

Rounded to the nearest hundredth, it is ...

  5/9 ≈ 0.56

Answer:

60 = 45 + t

Step-by-step explanation:

Answer:

1. 30

2. x<-72

3. 7b=63

4. x=3.2

5. 1/10

Step-by-step explanation:

1. Substitute a for 10

2(150/10)

2*15

30

2. Think of it like a normal equation

x/4<-18

x<-18*4

x<-72

3. 7b=63

4. 2.5x=8

x=3.2

5. 1/5*1/2= 1/10

Answer:

Angles opposite one another that share a vertex are called vertical angles.

When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are congruent

When two parallel lines are crossed by another line called the transversal the angles created inside the parallel lines but on opposite sides of the crossing lines are called alternate interior angles. Angles of this type have the same measurement as one another. Two figures are similar if one can fit exactly over the other after rigid transformations and dilations

Step-by-step explanation:

Vertically opposite angles are always equal (congruent)

The transversal line is the line that crosses two or more parallel lines

Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent

Two plane geometric figures are similar if they their corresponding interior angles are congruent

Answer:

2x+30

Step-by-step explanation:

Answer: The answer is 0.8

Step-by-step explanation: Every gram is 0.001 of a kilogram

Answer:

C

Step-by-step explanation:

A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.  

Answer:

[tex]y = 12.001 + 7.63 = 19.631[/tex]

Hope it helps

Answer:

1. 264

2. degree: 6, term: 3xy^5

3. -60x^3-2x^2+9x

4. 6mn^3-4m

5. 8x^3-4x+2

6. -x^2-6x-13

Step-by-step explanation:

Answer:

Step-by-step explanation:

ummm what there is no question!

Answer:

it is two because one apple plus one apple equals two

it is 2

Answer:the triangle has (2,) and (0, 4) as its vertices for a maximum area

Step-by-step explanation:let P(x,0) be the x-intercept and Q(0,y) be the y-intercept

label (1,2) as A(1,2)

the slope AP = slope AQ

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

2x - xy - 2 + y = -2

y(1-x) = -2x

y = -2x/(1-x) or 2x/(x-1)

H^2 = x^2 + y^2

= x^2 + ( (2x/(x-1) )^2 --- simplify if needed

(don't know why we are finding the hypotenuse ? )

Area of triangle OPQ

= (1/2)base x height

= (1/2)xy

= (1/2)x(2x/(x-1))

= (1/2) (2x^2/(x-1) )

dA/dx = (1/2) [ (x-1)(4x) - 2x^2(1) ]/(x-1)^2

= (1/2) [ 4x^2 - 4x - 2x^2 ]/(x-1)^2

= 0 for a max of A

2x^2 - 4x = 0

x(2x-4) = 0

x=0 ---- > makes no sense, look at diagram

or

x = 2

then y = 2(2)/(2-1) = 4

the triangle has (2,) and (0, 4) as its vertices for a maximum area

Answer:

Heyyyy

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Two points on this line are (0, -3) and (6, 1).

Going from the first to the second, we see a change in x of 6 units and a change in y of 4 units.  The slope of the line is thus m  = rise / run  =  4/6 = 2/3

Answer:

27

Step-by-step explanation:

you can do cross multiplication

90/100 = x/30

100x=2700

x=27

Answer:

In my opinion both of the lines are tangent.

Step-by-step explanation:

Because a tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Savings = \$500[/tex]

[tex]Withdrawal = \$12[/tex] weekly

Required

The question is incomplete as the linear function or table or graph of Melissa's plan is not given.

The available details can only be used to solve the function of the given individual

Let the number of weeks be w.

So: the amount left in w weeks is:

[tex]Amount = Savings - Withdrawal * w[/tex]

[tex]Amount = 500- 12* w[/tex]

[tex]Amount = 500- 12w[/tex]

Represent as a function

[tex]f(w)= 500- 12w[/tex]

To solve the amount left at the end of a certain week (say week 5), simply substitute 5 for w in [tex]f(w)= 500- 12w[/tex]

[tex]f(5) = 500 - 12 * 5[/tex]

[tex]f(5) = 440[/tex]

Answer:

C and D

Step-by-step explanation:

They are both roots of the equation.

Answer:

Range: [1, ∞)

Step-by-step explanation:

[tex]f(x)=2(x+3)^2+1[/tex]

Range: [1, ∞)

Answer:

516 cm squared

Step-by-step explanation:

To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.

How do we do it?

Answer:

15 CM

Step-by-step explanation:

Both sides are same length proven by the same angles making botrh sides 15 cm