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Xelga [282]
3 years ago
5

What is the value of x and the length of segment DE?

Mathematics
1 answer:
disa [49]3 years ago
3 0

Answer:

x  = 6.6 and DE = 16.2

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

\frac{5}{9}= \frac{9}{(2x+3)}

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

\frac{5}{9}= \frac{9}{(2x+3)}

Multiply both sides by 9(2x+3)

\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)

5(2x + 3) = 9(9)

10x + 15 = 81

Subtract 15 from both sides

10x + 15 - 15 = 81 - 15

10x  = 66

Divide both sides by 10

\frac{10x}{10}  = \frac{66}{10}

x  = \frac{66}{10}

x  = 6.6

From the attached;

DE = 2x + 3

Substitute 6.6 for x

DE = 2(6.6) + 3

DE = 13.2 + 3

DE = 16.2

Hence x  = 6.6 and DE = 16.2

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n social studies class, Cole is making a scale drawing of a flag. The flag measures 24 inches high by 36 inches wide, having thr
Ray Of Light [21]
The complete question in the attached figures

we know that

1 ft---------------> 0.083333 in

so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft

</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution

drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution

drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution

drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution

the answer is 
The correct model of the flag  is the drawing D

8 0
3 years ago
What are the roots of the polynomial equation x3-7x=6x-12?
Ilia_Sergeevich [38]
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

7 0
3 years ago
Read 2 more answers
Four glasses of milk and 2 snack bars have a total of 72 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a t
Travka [436]

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Step-by-step explanation:

Let,

Glass of milk = x

Snack bar = y

According to given statement;

4x+2y=72   Eqn 1

2x+3y=64   Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=64)\\4x+6y=128\ \ \ Eqn\ 3

Subtracting Eqn 1 from Eqn 3

(4x+6y)-(4x+2y)=128-72\\4x+6y-4x-2y=56\\4y=56

Dividing both sides by 4

\frac{4y}{4}=\frac{56}{4}\\y=14

Putting y=14 in Eqn 1

4x+2(14)=72\\4x+28=72\\4x=72-28\\4x=44

Dividing both sides by 4

\frac{4x}{4}=\frac{44}{4}\\x=11

One glass of milk has 11 carbs and one snack bar has 14 carbs.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/5461619
  • brainly.com/question/5510873

#LearnwithBrainly

6 0
3 years ago
URGENT: Find two functions f(x) and g(x) such that f[g(x)] =x but g[f(x)] does not equal x.
Delvig [45]
I think it does equal x but not really fully sure
4 0
3 years ago
What is the opposite of 5.98​
Liono4ka [1.6K]

Answer:

\huge\boxed{-5.98}

Step-by-step explanation:

The opposite of 5.98 is the negative one.

Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.

<u>So, the opposite of 5.98 is:</u>

=> -5.98

4 0
3 years ago
Read 2 more answers
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