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

13. In ADGE,DG = 8,GE = 17, And DE = 15. What Is The Length Of DF? Round To The Nearest Hundredth.

Answers

Answer 1

Answer:

Step-by-step explanation:

The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.

DG*DE/2 = GE * DF/2            Multiply both sides by 2

DG*DE = GE * DF

DG = 8

DE = 15

GE = 17

8*15 = 17* DF

120 = 17 * DF                         Divide by 17

120/17 = DF

DF = 7.06


Related Questions

f(x)= 1/x; Find f (0.01)​

Answers

Answer:

100

Step-by-step explanation:

f(x) = 1/x

So,

f(0.01) = 1/0.01

=> f(0.01) = 100

I need help guys like rn please someone!!

Answers

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!


Find the distance between the points (-3, 5) and (0, 1)

Answers

The distance between these two points is 5.

Write the following inequality in slope-intercept form.
10x + y > -1
Write your answer with y first, followed by an inequality symbol. Use integers, proper
fractions, and improper fractions in simplest form.

Answers

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.

P= lw+wh, solve for w

Answers

Step-by-step explanation:

P= w(l+h)

w=P/(l+h)

....

change 105/7 into a mixed fraction

Answers

Answer:

15 0/1

Step-by-step explanation:

Find the midpoint of the line segment joining points A and B.
A(2, - 5); B(2,1)
The midpoint of the line segment is
(Type an ordered pair.)

Answers

Answer:

M=(2,-2)

Step-by-step explanation:

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

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

M=(2,-2)

3 2/3 - (-1 1/12) = ? please help<3

Answers

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

EASY! Check my work and fill in the blanks!

Answers

Answer:

Step-by-step explanation:

Mangoes cost $4 each and nectarines cost $2 each. Dominic buys m mangoes and n nectarines for $32.
Fill in the missing values to write an equation for the information given.

Answers

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 the question about the angles below.

Answers

To find angle Y, take 180 degrees (linear pair) minus 35 degrees (angle X).
180-35=145 degrees
Angle Y=145 degrees
Angle W is also 145 degrees since it’s a vertical angle to Angle Y.
To find angle N, take 90 degrees (complementary angle) minus 55 degrees (angle M).
90-55=35 degrees
Angle N=35 degrees
Hope this helped!

Solve the following proportion using cross products property
4/-3=8/t

Answers

4 / -3 = 8 / t

4* t = 8 *-3
4t = -24
t= -24/4
t = -6

What is the equation of the line that passes through the point (8,1) and has a slope
of –3/4?

Answers

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]

Help me solve the following formula for v1

Answers

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

e) If the radede circle is 7em, then find the area of circle. al- (SSS. x at Solna -​

Answers

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.

I've been stuck on this for a while now​

Answers

Answer:

-8 1/3 or -8.333

Step-by-step explanation:

10/3 = x/( - 5/2)

Simplify - 5/2

10/3 = x/-2.5

Multiply -2.5 by 10

-25

Divide it by 3

-8.333

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]

G is between Fand H on a line segment. FG = x + 12 and GH = X
+ 18. IF FH = 16, what is the value of x?

Answers

Answer:

98

Step-by-step explanation:

i got the answer 25 did i do it wrong please help if i did

Answers

You did it right ! Great Job

This graph is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a
function at all

will give brainiest if correct

Answers

i wanna say that it's either c or b because i cannot decide. you should know that it's not a because of the curved line.

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.

If ƒ (x ) = 3x2 - x, find ƒ (-2).

I literally have no idea what I'm looking at....maybe I should've paid better attention leading up to the test.

Answers

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.

f(-2) = 3(-2)² - (-2)

Now, use PEMDAS to evaluate the function.

Start by evaluating the exponent.

f(-2) = 3(4) - (-2)

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

f(-2) = 12 + 2

Add the two terms together.

f(-2) = 14

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

Expand an expression by using the distributive property.
Example: 3(y + 8) = 3 • y +3 • 8 = 3y + 24
(Reminder: 3 • y is the same as 3 x y or 3y.)
Expand this expression. 8(2x – 4)

Answers

The answer is 16x-32



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

Answers

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.

learn more about simplification here

brainly.com/question/28996879

#SPJ2

if the distance between town a and b is 1350 KM and the distance between town A and C is in the same direction is approximately two fifth of this. what is the approximate distance of town B and C​

Answers

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

please answer this question for me. please help.​

Answers

19 divided by 2 is 9.5 meaning both are 9.5 so 9.5x9.5-9.5=80.75 so that should be ur answer also another way to know if the shape are 9.5 u can multiply9.5x4 and it gives u 38 (we multiply by four cuz that’s how many shapes u have)

DUE SOON HELPPP PLZzz

Answers

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.

The product 2+bi)(3+2i) is equal to 13i. What is the value b?

Answers

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.

please guys someone help i need the answer

Answers

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°

53g=2g-23g+2 solve g

Answers

[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.

What is an equation?

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.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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8. Find the common factors of 75,100 and 60​

Answers

stick with 60

start trying 1 to 10

then

10, 20, 30, 40, 50, 60

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

The answer is 5
5 in the only number that can divide into all 3 of the number without giving a remainder or being a decimal.
Hope this help, please give me brainliest:)

write rational number in P/q form 17.82​ bar​

Answers

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

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