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

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Related Questions

Describe the end behavior of the graph of the following polynomial function:

Describe the end behavior of the graph of the following polynomial function:

Answers

We will have the following:

From the polynomial we will have that:

*It falls to the left and rises to the right.

This can be seeing as follows:

Describe the end behavior of the graph of the following polynomial function:

Write down the factors of 28 Then,write down the prme factors of 28

Answers

the factors of 28 are : 1, 2, 4, 7, 14, and 28.

the prime factors of 28 are : 2, 2, and 7.

PLSSSS HELP WILL MARK BRAINLIEST :)))

PLSSSS HELP WILL MARK BRAINLIEST :)))

Answers

Answer: (2,-2) (-1,1) (-3,-1) (-2,-4)

Step-by-step explanation:

The x-axis is the horizontal line and the y-axis is the vertical line on a graph. The ordered pairs are always in (x,y).

To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (-x, y), line y=x: (y, x).

Plssss hellllppppp meeeeeeee

Plssss hellllppppp meeeeeeee

Answers

The areas of section 1, 2 and 3 are  8 inches square, 80 inches square and 8 inches square respectively.

The area of the trapezium is 96 inches square.

What is the area of the trapezium?

Section 1 and 2 are right triangles.

Area of a right triangle = 1/2 x base x height

Height = 8cm

Base = (14 - 10) / 2 = 2cm

Area of a right triangle = 1/2 x 2 x 8 = 8cm²

Section 3 is a rectangle.

Area of a rectangle = length x width

8 x 10 = 80 cm²

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Area of a trapezoid =   1/2 x (sum of the lengths of the parallel sides) x height

= 1/2 x (10 + 14) x 8

1/2 x 24 x 8 = 96cm²

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Integer exponents

1. 2(9x - 2y) =

2. 2k3 (2k2 + 5k - 4) =

3. 7(6x2 + 9xy + 10y2) =

4. 8x (6x + 6) =

5. 8r2 (4r2 - 5r +7) =



Answers

all answers are in the photo
Integer exponents 1. 2(9x - 2y) =2. 2k3 (2k2 + 5k - 4) =3. 7(6x2 + 9xy + 10y2) =4. 8x (6x + 6) =5. 8r2

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Can someone help me with this?

Can someone help me with this?

Answers

Answer:

x = 9

A(lol,brainly wont let me post this)F = 19

Step-by-step explanation:

see image. Since F is the midpoint, both halves of the segment must have the same measure.

If AhalfF is 2x+1, then the other half of AD must also be 2x+1.

We were given the length of the whole thing as well, so we can set up an equation to solve. See image.

Can someone help me with this?

On Monday, the temperature was –5°F. On Tuesday it rose 12 degrees. What was the temperature on Tuesday?

Answers

Answer:

7° F

Step-by-step explanation:

Originally the temperature was -5°.

It rose 12 degrees after that.

This means we have to add 12 degrees to the original temperature.

-5 + 12 = 7

So, on Tuesday, the temperature was 7° F.

Hope this helps! :)

Whats 952.80 ↩ hundreds?​

Answers

Answer:

If you mean rounding it would be 1000

Step-by-step explanation:

Is that the question?

a sports team has 99 jerseys numbered 1, 2, 3, . . . , 99. show your work for each part. (a) (2 points) how many ways are there to choose 2 different jerseys, without order, such that their numbers sum to 100?

Answers

a sports team has 99 jerseys numbered 1, 2, 3, . . . , 99. show your work for each part, 49 pairs many ways are there to choose 2 different jerseys, without order, such that their numbers sum to 100, using the concept of combination formula.

What is combination formula?

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

The formula becomes: \(^nC_r\)

Where, n = total number of objects

r = number of choosing objects.

Sports team has 99 jerseys. So, 49 pairs will be possible to have their sum is 100.

Example - (1+99), (2+98),......,(49+51)

Thus, there are 49 ways to choose two different jerseys.

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Find the volume, to the nearest cubic centimeter, of a cylinder with radius 4 cm and height 12 cm.
a. 48 cm3
C. 1206 cm
b. 402 cm
d. 603 cm

Answers

Answer:

603 cm³

Step-by-step explanation:

v = πr²h

v = π(4²)12

v = 3.14 * 16 * 12

v = 602.88

rounded

603 cm³

‼️ PLEASEEEE HELPP‼️

 PLEASEEEE HELPP

Answers

Answer:

I think the answer is 17

Step-by-step explanation:

I think its 17 because i watched a video and it says the midline should be half of the bottom.

I rlly hope this would help

solve
-m^3-(2n^2-m^3)+6n^2

Answers

Answer:

4n^2

Step-by-step explanation:

My calculator said that is the answer !

match the vector field f with the correct plot. f(x, y) = x, −y

Answers

Option b is true to match the vector field f with the given plot f(x, y)=x, -y

What is meant by a function?

The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).

Given,

f(x, y) = x, -y

gt; at x⇒∞, y⇒-∞ downwards

at x⇒∞, y⇒+∞ downwards

Therefore, option b is true to match the vector field f with the given plot

f(x, y)=x, -y

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The complete question is as follows:

Match the vector field f with the correct plot. f(x, y) = x, −y

match the vector field f with the correct plot. f(x, y) = x, y

Mr. Clark's science class kept a record of the daily high temperatures in
town during the month of June. The dot plot below shows these data.
According to the dot plot, how many days in June was the temperature
greater than 80 degrees? *
High Temperatures in June
50 55 60
65 70 75 80 85
85 90 95 100
Temperature (°F)

Answers

Answer:

i need point soryyy

Step-by-step explanation:

Sorryyyyyy im getting 50 pointsss sorryyyyyyy

hiii please help i’ll give brainliest if you give a correct answer ty!!

hiii please help ill give brainliest if you give a correct answer ty!!

Answers

Answer) 1.5
Explanation) 21/14

Answer: 1.5 hours

Step-by-step explanation:

14 times in 21 hours

1 time would be 21 ÷ 14

21 ÷ 14 = 1.5

It took 1.5 hours to orbit the earth 1 time

Hope I helped!

find the sum of the greatest and the smallest numbers of five digits fromed by the digits 3,0,7,5 and 2

Answers

Answer:

The correct answer is 95,677

Step-by-step explanation:

Greatest number of five digits: 75,320

Smallest number of five digits: 20,357

--

Remember:

Sum = Addition

Product = Multiplication

Difference = Subtraction

Sum of Greatest & Smallest:

\(75,320 + 20,357 = n\)

\(n = 95,677\)

Therefore, the correct answer is 95,677

The greatest number in the digits is 7, the smallest is 0.Their sum will be: 7+0=7

=7

Evaluate the expression: x +y + z (if x =33, y = -28, and z =40)

Answers

Answer is 45 (33-28+40=45)

Logarithms - Please Help!!!

Which of the following is equivalent to 1/log b(4)?

Choose 1 answer.

A) log b(4)

B) log 4(b)

C) -log b(4)

D) -log 4(b)

Answers

Answer:

log 4(b)

Step-by-step explanation:

Use the log law 1 / log b(a) = log a(b)

working together, it takes two different sized hoses 40 minutes to fill a small swimming pool. if it takes 60 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?

Answers

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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Find each angle measure

Find each angle measure

Answers

Answer:

1=125

2=55

3=55

4=125

5=125

6=55

7=55

8=125

Step-by-step explanation:

The probability of Jane wins a game is 7/10. Jane plays a game 50 times. Find the number of times she is expected to win the game.​

Answers

Answer:

35 times

Step-by-step explanation:

7/10 * 50 = 35

The number of times Jane is expected to win the game, when the probability of her to win the game is 7/10, is 35.

What is probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of Jane wins a game is 7/10. The probability in percentage form is,

\(P=\dfrac{7}{10}\times100\\P=70\%\)

Jane plays a game 50 times, in which 70% times she wins the game. Here, the number of times she is expected to win the game is equal to the 70% of 50. Thus,

\(n=50\times\dfrac{70}{100}\\n=35\)

Thus, the number of times Jane is expected to win the game, when the probability of her to win the game is 7/10, is 35.

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Which equation has 5 terms?

Answers

Step-by-step explanation:

An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.

gaveing out points for helpers!!​

gaveing out points for helpers!!

Answers

Because the two angles add up to equal 90, you would make an equation set to equal 90. On the other end you add the measures of your angles together because they are adding up to equal 90. This would look like 2x+5+35=90 and you solve from here. Add like terms making it 2x+40=90 then you subtract 40 from both sides making it 2x=50 and then divide by 2 on both sides which leaves you with x=25.

Obaid wants to paint the ceiling of his restaurant. The ceiling is in the shape of a square. Its side lengths are 15 meters. Suppose each can of paint will cover 25 square meters. How many cans will he need to paint the ceiling? Cans

Answers

Answer:

Step-by-step explanation:

The ceiling is in the shape of a square. If Its side lengths are 15 meters, then the area of the ceiling would be determined by applying the formula for finding the area of a square. It is expressed as

Area = length ²

Area of ceiling = 15² = 225 m²

Since each can of paint will cover 25 square meters, then the number of cans of paint needed to paint the ceiling is

225/25 = 9 cans

Find the exact value of the logarithmic expression without a calculator. Show all work
log3 4√27

Find the exact value of the logarithmic expression without a calculator. Show all work log3 427

Answers

Answer:

3/4 or 0.75

----------------------

Given expression

\(log_3\ \sqrt[4]{27}\)

Find its value using logarithm rules:

\(log_3\ \sqrt[4]{27} =log_3\ \sqrt[4]{3^3} =log_3\ 3^{3/4}=3/4\ log_3\ 3=3/4\)

The rules used above:

\(log_a\ a=1,\ log_a\ b^c=c\ log_a\ b\)

Identify the coeficient: 6x + 19

Answers

Answer:

25x

Step-by-step explanation:

6x + 9 = 25x

Answer:

6

Step-by-step explanation:

Coefficients are the numbers in terms with the variable

6 is the number with the variable (x)

given two decision-makers, one a risk taker and the other a risk avoider, the risk avoider will show a diminishing marginal return for money. (True or False)

Answers

False, While risk avoiders may generally show diminishing marginal returns for money, the specific circumstances of the two decision-makers and the level of risk they take can have a significant impact on their financial outcomes.

Factors such as their personal financial situation, the potential rewards and consequences of the decision, and their risk tolerance can all influence the final outcome. Without further information, it is impossible to determine whether the statement is true or false.
                                            A risk avoider, also known as a risk-averse individual, tends to make decisions that prioritize minimizing risks over maximizing potential rewards. As a result, they often exhibit diminishing marginal returns for money, meaning that the incremental value or satisfaction they receive from additional money decreases as their wealth increases. This is because risk avoiders prefer to have a more stable financial situation and are less likely to take risks to achieve potentially higher returns, which might lead to losses.

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How many degrees are in a third of a full

Answers

Answer:

120

Step-by-step explanation:

Helppp me

Ravi is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car uses up one gallon of gas every 35 miles
Let G represent the number of gallons of gas he has left in his tank, and let D represent the total distance (in miles) he has traveled. Write an equation relating G to D, and then graph your equation using the axes below

Helppp meRavi is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car

Answers

An equation relating G to D is G = 14 - D/35.

A graph of the equation using the axes is shown in the image below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Based on the information provided about Rav's trip on the highway, we have the following slope and y-intercept;

Slope, m = -1/35.

y-intercept, c = 14.

By substituting the given parameters, we have the following:

y = mx + c

G = Dx + c

G = -D/35 + 14

G = 14 - D/35

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Helppp meRavi is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car

Find the area of this region.
The region bounded by the graph of x=6y−y2
and the y
-axis.
a. Area =1136
sq. units
b. Area =1376
sq. units
c. Area =1316
sq. units
d. Area =1196
sq. units
e. Area =1256
sq. units

Answers

The region bounded by the graph of x=6y−y² and the y-axis has area 324 sq. units.

How to find the area of the region bounded by the graph

To find the area of the region bounded by the graph of x = 6y - y² and the y-axis, we first need to determine the points of intersection with the y-axis.

Since x = 0 on the y-axis, we can solve for y:

0 = 6y - y²

y² - 6y = 0

y(y - 6) = 0

This gives us two intersection points:

y = 0 and y = 6.

Now, we'll use the integral to find the area of the region:

Area = ∫[6y - y²] dy from 0 to 6

Evaluating the integral:

Area = [3y² - (1/3)y³] evaluated from 0 to 6 Plugging in the limits:

Area = (3(6)² - (1/3)(6)³) - (3(0)² - (1/3)(0)³)

Area = (108 - 432) - 0

Area = -324

Since the area is negative, we need to take the absolute value:

Area = 324 sq. units

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