13. In ADGE,DG = 8,GE = 17, and DE = 15. What is the length of DF? Round to the nearest hundredth.

[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: 2 \: g \: - \: 23 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: - 21 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \:g \: + \: 21 \: g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 74 \:g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \:g \: = \: \cancel\frac{2}{74} \\ \\ \large\bf{\red{ \implies}} \tt \: g \: = \: \frac{1}{37} \end{cases}[/tex]

The value of g from the given equation is 1/37.

The given equation is 53g=2g-23g+2.

We need to solve the given equation for g.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, 53g=2g-23g+2 can be solved for g as follows:

That is, 53g=-21g+2

⇒53g+21g=2

⇒74g=2

⇒g=2/74=1/37

Therefore, the value of g from the given equation is 1/37.

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Answer:

y > - 10x - 1

Step-by-step explanation:

Given

10x + y > - 1 ( subtract 10x from both sides )

y > - 10x - 1 ← in slope- intercept form

Answer:

y > -10x - 1.

Step-by-step explanation:

10x + y > - 1

Subtract 10x from both sides:

y > -10x - 1.

Answer:

[tex]y=-\frac{3}{4}x+7[/tex]

Step-by-step explanation:

The slope is already given as [tex]-\frac{3}{4}[/tex] so all we have to do is solve for y-intercept

First, write the equation in slope-intercept form

[tex]y=-\frac{3}{4}x+b[/tex]

Next, use the point to substitute the x and y value and solve for the y-intercept

[tex]y=-\frac{3}{4} x+b[/tex] where b = y-intercept

point: (8, 1)

[tex]1=-\frac{3}{4}(8)+b[/tex]

Then multiply 8 and -3/4

[tex]1=-6+b[/tex]

Finally, solve for the b (y-intercept)

b = [tex]1--6[/tex]

b = 7

so the y-intercept is 7

And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is [tex]y=-\frac{3}{4}x+7[/tex]

Answer:

x = -25/3

Step-by-step explanation:

[tex] \frac{10}{3} = \frac{x}{ (\frac{ - 5}{2} )} \\ = > \frac{10}{3} \times \frac{ - 5}{2} = x \\ = > \frac{ - 50}{6} = x \\ = > \frac{ - 25}{3} = x [/tex]

Answer:

M=(2,-2)

Step-by-step explanation:

M=(2+2/2,-5+1/2)

M=(4/2,-4/2)

M=(2,-2)

Answer:

[tex]3\frac{2}{3} - ( - 1 \frac{1}{12} ) \\ \\ \frac{11}{3} - ( - 1 \frac{1}{12}) \\ \\ \frac{11}{3} - ( - \frac{13}{12} ) \\ \\ \ \frac{11}{3} + \frac{13}{12} \\ \\ \frac{44}{12} + \frac{13}{12} \\ \\ \frac{44 + 13}{12} \\ \\ \frac{55}{12} \\ \\ \frac{19}{4} \\ \\ = 4 \frac{34}{?} [/tex]

4/3/4

Answer:

4 3/4

Step-by-step explanation:

3 2/3 - (-1 1/12) = 19/4 = 4 3/4

Answer:

C

Step-by-step explanation:

It looks impossible to tell if you don't know one simple fact. You have to know that the Plane that contains WTSR and V is opaque which means you can't see through it. So the line that goes through it (containing WQ) is partially not seen.

It is represented by a dashed line that shows the line is there, but it is invisible.

So Q is on the plane, but W is not. W is the answer.

Answer:

BC = 810 KM

Step-by-step explanation:

It is 2/5 from A to C so the remaining distance 1 -2/5 = 5/5 -2/5 = 3/5 is the distance from C to B

BC = 3/5 * 1350

BC = 810 KM

Answer:

[tex]b = 3[/tex]

Step-by-step explanation:

We are given that:

[tex](2 + bi)(3+2i) = 13i[/tex]

And we want to determine the value of b.

First, expand:

[tex]\displaystyle \begin{aligned} (2+bi)(3+2i)&=2(3+2i)+bi(3+2i) \\ &= (6+4i)+(3bi+2bi^2) \\ &= (6+2b(-1))+(4i+3bi) \\ &= (6-2b) + (4+3b)i\end{aligned}[/tex]

Therefore, we can write that:

[tex](6-2b) + (4+3b)i = 0+ 13i[/tex]

If two complex numbers are equivalent, their real and imaginary parts must be equivalent. Hence:

[tex]6-2b = 0 \text{ and } 4+3b = 13[/tex]

Solve for each case:

[tex]b=3 \text{ and } b=3[/tex]

The two solutions are equivalent, hence such a number b exists.

In conclusion, b = 3.

Step-by-step explanation:

2x + y + x+ 2y = 180

3x + 3y = 180

3y +20+2x+y=180

4y + 2x = 160

3x + 3y = 180

2x + 4y = 160

elimination

6x + 6y= 360

6x + 12y = 480

= 6y = 120

y= 20

substitute

3x + 3y = 180

3x + 3(20)= 180

3x + 60 = 180

3x = 120

x= 40

x+2y

40+2(20)=80

<4=<8= 80°

<7=180-<8=<180-80= 100°

angle 7 = 100°

angle 8 = 80°

Answer:

98

Step-by-step explanation:

I suppose you're talking about the number 17.828282…. If x is this number, then 100x = 1782.828282…, and so

100x - x = 1782.828282… - 17.828282…

99x = 1765

x = 1765/99

Step-by-step explanation:

P= w(l+h)

w=P/(l+h)

....

Hi

area of circle, which is call in proper math terme circumference ( latin for going around) is given by this formula :

2 times radius x pi

As math is all about knowing your formula and training, I let you have a shot. You wont progress other wise.

Ask in comment section if you are still blocked.

Answer:

100

Step-by-step explanation:

f(x) = 1/x

So,

f(0.01) = 1/0.01

=> f(0.01) = 100

Answer:

C Neither.

Step-by-step explanation:

Its not linear because it is a curve.

Its not a function because it fails the vertical line test:

- we can draw a vertical line which passes through 2 points on the graph.

Answer:

B

Step-by-step explanation:

The correct answer is B, because you have -4 +(-6)+(-2) which is really just

-4-6-2 which is -12. Think of it as getting rid of the plus sign and just leaving the negative sign. Which this would make the answer to the equation be -12, but for the answer of the question, it would be B because it is accumulating the drops in temperatures making the numbers go down in temperature, therefore making them negative.

A is not the answer because although it is similar to letter B, the difference is the final sentence, "What was the overall change in temperature?" Since -4 is listed as the pre-existing temperature, that would make -6 - 2 be equal to negative eight (-8).

C is not the answer because it includes a temperature rising by 18 degrees.

D is not the answer either because it is saying the temperature rose, which is shouldn't have risen.

The only time C and D could be right, is if they included bigger number that equaled out to negative twelve (-12), like saying the temperature rose 18 degrees, but fell by 26 degrees by midnight, that would make the equation look like -4 + 18 - 26 = - 12

Even in that case, C and D would be wrong immediately because of the use of numbers outside of the expression given.

Hope this helps!

Answer:

v1 = at + v0

Step-by-step explanation:

We want to end up with a formula that looks like v1 = algebraic expression

Start by multiplying both sides of the given formula by t, to eliminate fractions:

at = v1 - v0

Next we isolate v1 by adding v0 to both sides of the above equation:

at + v0 = v1 - v0 + v0, or v1 = at + v0

Answer:

V1=at+V0

Step-by-step explanation:

i had  the same question

stick with 60

start trying 1 to 10

then

10, 20, 30, 40, 50, 60

1 , 2 , 4 , 5 , 10, 20, 40, 50

Answer: 6m+4n=32

Step-by-step explanation:

m=4

n=2

From this, we can deduce that m+n=32.

6*4=24 and 4*2=8. 24+8=32

So, 6m+4n=32. Hope this was what you were looking for!

Answer:

Step-by-step explanation:

f(x)=3x^2-x

[tex]\\ \rm\longmapsto f(-2)[/tex]

[tex]\\ \rm\longmapsto 3(-2)^2-(-2)[/tex]

[tex]\\ \rm\longmapsto 3(4)-(-2)[/tex]

[tex]\\ \rm\longmapsto 12-(-2)[/tex]

[tex]\\ \rm\longmapsto 12+2[/tex]

[tex]\\ \rm\longmapsto 14[/tex]

Answer:

14

Step-by-step explanation:

f(x) = 3x² - x

To find f(-2), substitute -2 for x into the function f.

Now, use PEMDAS to evaluate the function.

Start by evaluating the exponent.

Next, multiply 3 and 4 and -2 by -1.

Add the two terms together.

The correct answer is f(-2) = 14.

Answer:

15 0/1

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

3/4.x = 2. 2/3.x

↔ x = 0

The required  number after simplification of the given statement of the equation is equal to 24.

Let's call the number we want to find "x."

According to the given information:

Three-quarters of the number is 2 bigger than two-thirds of the number.

Mathematically, we can express this as the following equation:

(3/4) × x = (2/3) × x + 2

Now, let's solve for "x":

Get rid of the fractions by multiplying everything by the least common multiple (LCM) of 4 and 3, which is 12.

12× (3/4) × x = 12 × (2/3) × x + 12× 2

Simplify both sides:

9x = 8x + 24

Isolate the "x" term on one side. To do this, we need to move the 8x to the left side by subtracting 8x from both sides:

9x - 8x = 8x + 24 - 8x

Simplify further:

x = 24

Therefore, the number after simplification is 24.

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You did it right ! Great Job