Please help! The expressions 3x - 9 and 23 - 5x represent the lengths (in feet) of two sides of an equilateral triangle. Find the length of a side. Show your work.

Answers

Answer 1
An equilateral triangle has 3 congruent sides so the 2 expressions above are equal
3x - 9= 23 - 5x
And then you solve for x
-22=-2x
X=11
Answer 2

We are dealing with an equilateral triangle which has 3 equal sides.

length of a side = 3 ft

Since the three sides of an equilateral triangle are equal and we are given two sides to have lengths of 3x - 9 and 23 - 5x , it means that;

3x - 9 = 23 - 5x

Rearranging this gives;

3x + 5x = 23 + 9

8x = 32

x = 32/8

x = 4

putting 4 for x in 3x - 9, we have;

3(4) - 9 = 3 ft

Thus,

length of a side = 3 ft

read more at; brainly.com/question/1626548


Related Questions

What hazard is present in this image?

Select the best option.


A mat that has upturned edges


Hair clippings on the floor


Tool cord left out


Spills on floor

Answers

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

Graph y-4=2x and identify
the slope and y-intercept.

Answers

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

What is the measure of angle P?

Answers

Answer:

60

Step-by-step explanation:

step 1: 180°-130°= 50

step 2: 180-110= 70

step 3: 70+50= 120

step 4: 180°-120°= 60

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and bare
the
legs. Round your answers to the nearest tenth if necessary.
a = 8.8 ft, b = 9 ft

Answers

Answer:  12.6 ft

Step-by-step explanation:

a = 8.8 ft

b = 9 ft

c = ?

Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.

a^2 + b^2 = c^2

(8.8)^2 + (9)^2 = c^2

158.44 = c^2

(158.44)^(1/2) = c

12.5873 = c

c = 12.6 ft (rounded to the nearest tenth)

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro

Answers

Answer:

Absolute error = $25

Step-by-step explanation:

Given that:

Amount spent by John on shopping trip = $75

Estimated amount to spent on shopping trip = $100

Absolute error = Approximate value - Exact value

Here,

Approximate value = $100

Exact value = $75

Absolute error = 100 - 75

Absolute error = $25

Percentage = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]

Percentage = [tex]\frac{25}{75}*100[/tex]

Percentage = 33.33%

Hence,

Absolute error = $25

In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than twice the number
sent. How many were sent and how many were received each day?

Answers

Answer:

Number of sent mail = 36

Number of received mail = 75

Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111      Eqn 1

y = 2x + 3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

3x = 108

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{108}{3}\\x = 36[/tex]

Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

2x + y = 11

3x - y = 4

Answers

Answer:

[tex]x=3,y=5[/tex]

Step-by-step explanation:

Add the equations together and solve for x.

[tex](2x + y )+ (3x - y) = 11 + 4[/tex]

[tex]5x=15[/tex]

[tex]x=3[/tex]

Use equation [tex]2x+y=11[/tex]  to solve for y.

[tex]2(3) +y=11[/tex]

[tex]6+y=11[/tex]

[tex]y=11-6[/tex]

[tex]y=5[/tex]

work out 1/5 of 80 =

Answers

Answer:

16

Step-by-step explanation: your welcome

The first term of the sequence is -9 and the common ratio is -2

Answers

Answer:

[tex]2nd \: term = - 9 + ( - 2) \\ = - 11 \\ 3rd \: term = - 11 +( - 2) \\ = - 13 \\ 4th \: term = - 13 + ( - 2) \\ = - 15 \\ \\ ..........[/tex]

Solve for u. m/u^2+r=−k−y

Answers

9514 1404 393

Answer:

  u = ±√(-m/(k+r+y))

Step-by-step explanation:

Subtract r, rearrange, then take the square root.

  [tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]

Answer: +/- sqrt(m/-k-y-r)

Step-by-step explanation:

Need Help with this please!!

Answers

Answer:

A is 85 degrees

Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?

Answers

Answer:

The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.

Step-by-step explanation:

The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.

The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero.  Let's do it:

So first the area:

2025 = wl

l = 2025 / w

Now the sides:

[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]

Then we can take its derivative with respect to w

[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]

Now we can set the derivative to zero, and solve for w:

[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]

So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.

can someone please help me?

Answers

First off, a triangle will be 180 all together, so, x + 59 + x + 51 = 180, 59 + 51 is 110, x + x is 2x, 180 - 110 is 70 so you have 2x = 70, now divide both sides by two, The left will cancel out to x and the other will be 35, x = 35, now you are looking for angle a, in order to find this, you have to plug in your X, so 51+35 is 86, that should be your answer, I hope this helps!

What is a function?

A)Every x-value has more than one y-value.

B) Every x-value has exactly one y-value.

Answers

Answer:

A

Step-by-step explanation:

Classify 5x5 - 5x3 + 2x2 by degree.

Answers

Answer:

295 is the answer... god bless

Answer25

Step-by-step explanation:

what is the slope of the form of (1,2) m= -2​

Answers

Answer:

m = -2

Step-by-step explanation:

slope is m in y = mx + b

You already said what m is

The. Ordered pair?

Is this a function yes or no?

Answers

Yes. It is a function I don’t know why but I know it is

The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationship

Find the value of x and the value of y.

Select the two correct answers.

A y=56

B. x= 14

C. x=7

D. y=39

Ex= 9

F. y = 42

Answers

Answer: B. x= 14

D. y=39

Step-by-step explanation:

First and foremost, we need to calculate the constant of proportionality. This will be:

(8,12).

y = kx.

12 = 8k

k = 12/8

k = 1.5

(16, 24),

y = kx

24 = 16k

k = 24/16

k = 1.5

(x, 21),

y = kx

x = y/k

x = 21/1.5

x = 14

(26, y)

y = kx

y = 26 × 1.5

y = 39

If GEOM is a square, find m2GQE.

Answers

Answer:

90 is correct answer of it question

using pythagoras theorem if a = 3, b = 4 what is c?

3
4
5
6
3.6

Answers

Answer:

5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]

I need to write an equation for the triangle and solve for x

Answers

You know that the sum of angles of line CX has to be 180 degrees. Therefore, because you know angle EDX equals 134 degrees, and 180-134= 46, you know that angle CDE equals 46 degrees. Because you know the 3 interior angles of a triangle equals 180 degrees, if you subtract 180 - 46 - 105 = 2x-13. This simplified is 29= 2x-13. Further simplified, 42=2x. Therefore x=21 degrees.

Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base
what is the hight?

Answers

Try this thing which you can find on internet
A=1/2.b.h
A=1/2.10.12
h^2+5^2=13^2
h^2+25-25 =169-25
h^2=144

√h= √144
h=12
so right answer is this one

reduce to the simplest form[tex]\frac{286}{858}[/tex]

Answers

Answer:

143 over 428

Step-by-step explanation:

Which of the following expressions will result in a product less than zero?
А
6.4 x (-3.5)
B
-7.1 x (2.5)
С
-2.3 (-1.9)
D
9.2 x (4.0)

Answers

Answer:

All of the except for D and C

Step-by-step explanation:

A negative times a positive is always negative

Answer:

A,B

Step-by-step explanation:

what is the product of 2 4/7 × 13/12​

Answers

Answer:

2 11/14

Step-by-step explanation:

First make both of them improper fractions.

therefore,

2 4/7 = 18/7

now simplify.

18/7 × 13/12

18 and 12 get cancelled off as they're multiples of 3 and 6

therefore,

3/7 × 13/2

3× 13 = 39

7×2 = 14

39/14

now make it a proper fraction

2 11/14//

please help me or dont

Answers

Answer:

pentegan easy

Step-by-step explanation:

please solve for b

a=b/c

Answers

Answer:

b = ac

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

b= ac

Solve for b by simplifying both sides of the equation, then isolating the variable.

in a season there are 40 matches.
How many matches should Sachin's team expect to win in a season?

Answers

Sachins team has seven 7 matches

Jada had read 2/3 of a book . She has read 60 pages so far . How many pages are in the whole book?

Answers

90 pages in the whole book

Number seven plz helppp

Answers

6^4 is the same as 6x6x6x6
The answer is 1,296

Answer:

1,296

Step-by-step explanation:

I multiplied 6 four times.

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