The perimeter of the triangle below is 97 cm.
What is the length of EF?
A. 18 cm
B. 23 cm
C. 30 cm
D. 32 cm

The Perimeter Of The Triangle Below Is 97 Cm.What Is The Length Of EF?A. 18 CmB. 23 CmC. 30 CmD. 32 Cm

Answers

Answer 1

Answer:

The length of EF = x = 18 cm

Option A is correct.

Step-by-step explanation:

Ware given perimeter of triangle = 97 cm

We need to find length of EF = x = ?

The length of EG = x+7

The length of EF = x

The length of GF = 3x

The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]

Putting values and finding x i.e length of EF

[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]

So, value of x=18 cm

The length of EF = x = 18 cm

Option A is correct.


Related Questions

Katarina earns $14.60/hour for regular hours of work. She is paid time and a
half for overtime work. What is her overtime rate of pay?

Answers

Answer:

$21.90

Step-by-step explanation:

You start by doing 14.60*1.5 because for overtime work is says she is paid time and a half. When you do the equation, you get $21.90.

Hope this helps!

Find the slope and y-intercept of the graph of 3y = 6x – 12.
The slope is
and the y-intercept is

Answers

Answer:y

=

2

x

y

Step-by-step explanation:

In a chicken farm a diet is given, to gain weight, with a minimum composition of 15
units of a substance A and another 15 of a substance B.
There are only two classes of compounds on the market: type X with a composition of one
unit of A and 5 of B, and the other type, Y, with a composition of five units of A and one of B. The
price of type X is $ 10 and type Y is $ 30.
What quantities of each type must be purchased to cover the needs at a cost
minimum?

Answers

Step-by-step explanation:

id-9384026088

password-9999

The ratio of boys to girls in a choir is 3 to 7 there are 35 girls in the choir how many members are in the choir

Answers

Answer:

50

Step-by-step explanation:

35/7= 5

5*10=50

Answer:

50 people in the choir

Step-by-step explanation:

we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.

Hope this helps! :)

(Also i know my explanation is rly bad just ignore it)

will give brainliest if its right​

Answers

Answer:

answer D

Step-by-step explanation:

A and C have to be equal

B and D have to be equal

A+B+C+D have to equal 360

so, two equations

5y-3=x+3y

4x+5y-3+x+3y=360

4x=156

x=39

5y-3=9+3y

2y=42

y=21

Hope this helps plz hit the crown :D

Here is just a few words so you can give the other one brainliest!

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. Five gallon of paint covers 1500 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool?

Answers

Answer:

2 cans

Step-by-step explanation:

Given that :

Radius of pool = 30 feets

Using the relation for the Area of a circle :

Area = pi*r^2

Thus,

Area of pool = 3.14 * 30^2

Area of pool = 3.14 * 900 = 2826feet²

Paints are sold in cans of 5 gallon

5 gallon of paint = 1500 feet²

Least number of 5 gallon can required :

2826 feet² / 1500 feet² = 1.884 cans

Hence,

Least number of 5 gallon can required = 2 cans


help !!!
A car gets 40 miles per gallon of gas. It travels for 5 hours at 60 miles
per hour. How many gallons of gas did it use? *
O 6.75 gallons
O 7.5 gallons
O 3.33 gallons
O 10 gallons

Answers

7.5 gallons. (5x60)/40 5x60 being the equation to find the total miles driven

change from word to standard form sixty-seven and five hundred thirteen thousandths

Answers

67 & 513,000
I got this because when your putting them together then you sixty seven so 67.

Pls help me with this question give u brainliest pls it's urgent ​pls help
[Image: Vertical number line ranging from negative 5 to 5.]


On this number line, zero represents sea level. Plot the following points based on the description provided.


• greatest common factor of 8 and 12

Answers

Answer:

Positive 4

Step-by-step explanation:

Factors for 8 => 1, 2, 4, 8

factors for 12 => 1, 2, 3, 4, 6, 12

the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.

Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?

Answers

Answer:

60 hours

Step-by-step explanation:

We are given;

Initial amount: A_o = 64 mg

Half life; T_½ = 15 hours

Amount left: A = 4 mg

To get the time that 4 mg of Sodium-24 remain, we will use the formula;

A = A_o(½^(t/T_½))

Where t is the time that 4 mg of Sodium-24 remain.

Thus;

4 = 64 × ½^(t/15)

Divide both sides by 64 to get;

4/64 = 2^(t/15)

0.0625 = ½^(t/15)

In 0.0625 = (t/15) In 0.5

-2.7726 = (t/15) × -0.6931

t = (-2.7726 × 15)/-0.6931

t = 60 hours

30 in
18 in
b
What is the length of the missing leg?
b
inches

Answers

24 inches I’m pretty sure

Estimate: 2.31 x 2.58 x 5.

Answers

Estimated Answer: 30

Work: Since 2.31 is below 2.50, I rounded is back down to 2. Since 2.58 is above 2.50, I rounded it up to 3, and Since 5 isn't a decimal, it stays at 5. So, the new "Estimated" multiplication problem is 2 x 3 x 5 = 30

Check: So, lets do the original equation. The answer is 29.799, which is very close, so (Check) I hope this helps, and Happy Holidays! :)

Answer:

IT'S 30

Step-by-step explanation:

= 30:  2X3X5 6X5 =30 This a little bit of step by step but.......

how many solutions does the quadratic have? 2x^2+3x-5​

Answers

Answer:

2 solutions

Step-by-step explanation:

Given

2x² + 3x - 5 ( to solve the quadratic equate it to zero )

2x² + 3x - 5 = 0 ← in standard form

(2x + 5)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]

x - 1 = 0 ⇒ x = 1

The 2 solutions are x = - [tex]\frac{5}{2}[/tex] , x = 1

Help me solve this problem please

Answers

Answer:

6

Step-by-step explanation:

Diego is attending UTEP and has completed some courses worth 3 credits and some courses worth 4 credits. He has earned a total of 59 credits after completing 18 courses.

How many courses worth 4 credits has Diego completed?

Answers

Answer:

5

Step-by-step explanation:

5 courses worth 4 credits have Diego completed. Therefore, option B is the correct answer.

We need to find how many courses worth 4 credits has Diego completed.

What are systems of equations?

In mathematics, a system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought common solutions. A system of equations can be classified in a similar manner as single equations.

Now, let the courses worth 3 credits be x and the courses worth 4 credits be y.

Now, in total Diego completed 18 courses

That is, x+y=18 ------(I)

Diego has earned a total of 59 credits

So, 3x+4y=59 ------(II)

Multiply the equation (I) by 3, that is 3x+3y=54 ------(III)

Now, subtract the equation (III) from (II) and simplify.

That is, 3x+4y-(3x+3y)=59-54

⇒y=5

Substitute y=5 in the equation (I) and simplify

That is, x=13

Therefore, 5 courses worth 4 credits have Diego completed.

To learn more about the system of equations visit:

https://brainly.com/question/21620502.

#SPJ6

What is the length of the unknown side of the right triangle? (1 point)
A) 21
B) 29
C) 400
D) 441

Answers

Answer:

The answer is a

Step-by-step explanation:

Find a slope of a line that passes through the points (-1,1) and (3,-1)​

Answers

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-1/3-(-1)

m=-2/4

m=-1/2

PLEASE HELP I WILL MARK BRAINLIEST ITS URGENNNTTTT!!!

Answers

it would be -6 please mark me brainliest

Answer:

-6°C

Step-by-step explanation:

(-3) - 3 = -6

If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible without going over?

Answers

Answer:

Approximately $14.20

Step-by-step explanation:

Let the cost of the groceries be represented by c, then;

cost price + VAT = c + (5% of c)

To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.

Let c = $14.20, then;

So that,

c + (5% of c) = 14.20 + (5% of 14.20)

                    = 14.20 + 0.71

                    = $14.91

Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.

I WILL GIVE 15 POINTS FOR THE CORRECT ANSWER PLEASE I need help with my work

Answers

Answer:

1/since 4/5 in three munites i think e divide lang yong 4/5 in to 3.

Answer: A

Step-by-step explanation: 4/15

Find the value of x for each function when f(x) = 24

Answers

Answer:

x = 76

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{4}[/tex] x + 5 and f(x) = 24, then equate the right sides

[tex]\frac{1}{4}[/tex] x + 5 = 24 ( subtract 5 from both sides )

[tex]\frac{1}{4}[/tex] x = 19 ( multiply both sides by 4 to clear the fraction )

x = 76

A factory produces 2 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water?

Answers

Answer:

150

Step-by-step explanation:

600/8*2

(4, -4) and (-8, -1)

This need to be put in slope intercept form and I need the steps thank you!

Answers

Answer:

y = [tex]\frac{-1}{4}[/tex]x - 3

Step-by-step explanation:

(4, -4) (-8, -1)

y = mx + b

equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]

[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]

y = [tex]\frac{-1}{4}[/tex]x - 3

Light shines through window what is the area of a trapezoid shaped region created by the light

Answers

Answer:

16 ft²

Step-by-step explanation:

The complete question is attached.

A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.

The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.

Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:

The area of a trapezoid = [(3 + 5)/2] * 4

The area of a trapezoid = 16 ft²

Answer:

Step-by-step explanation:

16

X2+ ?x + 36
ayoooo i need helppp

Answers

Answer:

? = 12

Step-by-step explanation:

(x + 6)(x + 6)

= x^2 + 12x + 36

compare the graph of g(x)=6x−5 to the graph of f(x)=6x
a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units

Answers

Answer:

The answer is B choice.

Explanation:

Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.

[tex]f(x) = 6x \\ g(x) = 6x -5[/tex]

For a linear function or line graph.

[tex]y = mx + b[/tex]

This means that the function y has the graph that shifts up b units.

[tex]y = mx - b[/tex]

While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.

Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.

Back to the answer.

Comparing two graphs, from f(x) and g(x) —

We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^

Thus, the answer is B.

The answer is b: g(x) shifted down five units

lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000.


Which of the following is the most reasonable domain and range for the function?

Answers

Answer:A

Step-by-step explanation:A

The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.

The given function is f(x) = 3000 + 100x.

We need to find which of the following is the most reasonable domain and range for the function.

What is the domain and range of the function?

The domain and range are defined for a relationship and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞, ∞) {x|x∈R}

Range: (-∞, ∞) {y|y∈R}

The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.

To learn more about the range and domain visit:

https://brainly.com/question/28135761.

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What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
O (0, 0)
O (0,4)

Answers

(0,-1) is correct so b

There is a word problem and idk how to do it here's the word problem [Kari is making copies at a local store of the program for her school play she makes 52 copies and the total is $6.24. How much did the store charge her per copy] this is in math

Answers

Answer:

Unitary cost per copy= $0.12

Step-by-step explanation:

Giving the following information:

Total number of copies= 52 copies

Total cost= $6.24

We need to calculate the unitary cost of each copy. To do that, we will use the following formula:

Unitary cost per copy= total cost / number of copies

Unitary cost per copy= 6.24/52

Unitary cost per copy= $0.12

Question: In history the Mongols are remembered as "savage ruthless barbarians." Is this representation accurate? Using the terms stereotype, xenophobia, or prejudice explain why this representation is or is not accurate. Write your response in a claim, evidence, reasoning paragraph with a focus on your concluding sentence. See rubric below for more details.​

Answers

Answer:

Despite the stereotype of the Mongols, yes they were "savage ruthless barbarians."

Step-by-step explanation:

You need to write the rest yourself.

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