The isosceles triangle has a perimeter of 7. 5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2. 1 m? 2 x minus 2. 1 equals 7. 5 4. 2 plus y equals 7. 5 y minus 4. 2 equals 7. 5 2. 1 plus 2 x equals 7. 5.

Answers

Answer 1

Using the perimeter formula of the Isosceles triangle the equation 2x + 2.1 = 7.5 is derived. The correct option is D.

What is the isosceles triangle?

Triangle is a polygon that has three sides. The sum of the angle of the triangle is 180 degrees. The two sides of the triangle are equal.

Given

The isosceles triangle has a perimeter of 7.5 m.

We know the perimeter of the Isosceles triangle.

Perimeter = Sum of all sides of the triangle

Let the sides be x and y and

And let y be the shortest side.

For y = 2.1 m, the equation will be

[tex]\rm Perimeter = x + x +y\\[/tex]

On simplifying the equation, we get

2x + 2.1 = 7.5

The required equation is 2x + 2.1 = 7.5.

Thus, option D is correct.

More about the Isosceles triangle link is given below.

https://brainly.com/question/7915845


Related Questions

Lisa pours 1/4 a 1 liter bottle of coke for each of her 4 family members. What is the decimal of coke they each receive?

Answers

Answer:

.25

Step-by-step explanation:

Answer:

if there are 4 people and she pours 1/4 of a 1-liter coke bottle equally, it means that she gave each member 25% or 0.25 of a liter or bottle of coke

. The selling price of 15 articles is Rs 1,500 at a gain of 8%. Find C.P of each article

Answers

Rs. 92.59 is each article's CP

Step-by-step Explanation:-

As per conditions given,

[tex]1500 \div 15 \div (1 + 8[/tex]%)

[tex] = > 100 \div 1.08[/tex]

[tex] = > approx. \: 92.59[/tex]

Hence, the CP of each article is Rs. 92.59

how many spaces are there total? 5) Jerry had 153 songs on his MP3 player. If he deleted 63 songs, what is the ratio of songs he kept to songs he deleted?​

Answers

The answer to the question is 90:63

Describe the steps you would use to factor the
trinomial 4x2 - 4x - 3.
-

Answers

Answer:

5-4x

Step-by-step explanation:

8 - 4x - 3

5 - 4x

Please help asap
I cant figure out the answer

Answers

Answer:

B

Step-by-step explanation:

using the formula 0.75 time the 160 is 120. so s squared divided by 30.25 should equal approximately 120

going through the answers and dividing them by 30.25 is the easiest way to do so. 60 squared is 3600 divided by 30.25 is 119.008

In a study of 500 children from a city, 238 were randomly selected to receive a new vaccine. The other 262 children were randomly selected to receive a placebo. The children and the physicians did not know to which group they had been assigned. After five years, 22 of the 238 children who received the vaccine had been infected with malaria; while 28 out of the 262 children who received the placebo had been infected with malaria.

A) Is this an experiment or an observational study?

B) What are the variables? Which are categorical/quantitative?

C) Using the information above, fill in the two-way table to determine whether the vaccine is effective.

Please hellppp (Statistics Math) worth 100 points

Answers

Answer:

A: Experiment

B: The variables are the vaccine and placebo. The kids are categorical.

C: I can't fill out the table if I dont see one... sorry!! Good luck!

Step-by-step explanation:

Determine whether the statement makes sense or not (Please help)

Answers

Answer:  No

=======================================================

Explanation:

The number [tex]7 \times 10^{10}[/tex] is the number 7 followed by 10 zeros

[tex]7 \times 10^{10} =[/tex] 70,000,000,000 = 70 billion

According to statista.com, there are roughly 229 million drivers in the US (based on a 2019 survey).

Divide the two amounts to get:

(70 billion)/(229 million) = (70*1000 million)/(229 million) = 305.677 approximately

This indicates that each driver uses about 306 gallons of gas per day.

This value is way too high.

Therefore, the initial claim does not make sense.

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

Upon further research, the site eia.gov states that Americans use about 337 million gallons of gasoline per day (not 70 billion).

Notice how (337 million)/(229 million) = 1.472 approximately which is far more realistic. It makes more sense to have any given driver use somewhere between 1 or 2 gallons of gas per day. Of course, all of this depends on the person's location from home to work, the amount of traffic, etc.

A restaurant owner washed 94 kilograms of vegetables, some spinach and some cucumbers. The spinach came in 10-kilogram bags and the cucumbers came in 9-kilogram bags. The owner washed 10 bags of vegetables in all. How many bags of each kind did he wash?

Answers

Answer:

6 bags of cucumber

4 bags of spinach

Step-by-step explanation:

let s = number of bags of spinach

let c = number of bags of cucumber

If the owner washed 10 bags of vegetables in total, then

s + c = 10

The spinach came in 10kg bags and the cucumbers came in 9kg bags, and the owner washing 94kg of veg in total:

10s + 9c = 94

Rewrite s + c = 10 to make s the subject, substitute it into 10s + 9c = 94, then solve for c:

s + c = 10

⇒  s = 10 - c

⇒ 10(10 - c) + 9c = 94

⇒ 100 - 10c + 9c = 94

⇒ -c = -6

⇒ c = 6

Substitute c=6 into s + c = 10 and solve for s:

s + 6 = 10

⇒ s = 4

how maNY solutions do these equations have? No solution, one solution, infinite solutions.

a) y = 2x + 3 and y = -2x + 11

b) y = x + 2 and -2x + 2y = 4

c) y = x - 3 and y = x + 6

d) y = 7 and y =3x-5

e) y = -4x and y = -4x - 1

Answers

Answer:

See below.

Step-by-step explanation:

a) y = 2x + 3 and y = -2x + 11

 One solution.  They are straight lines with different slopes, so they will intersect at some point.  

b) y = x + 2 and -2x + 2y = 4

  -2x + 2y = 4 can be rearranged to 2y = 2x +4 and then y = x + 4

    Both lines have the same slope, 1.  They are parallel and will never meet.  No solutions.

c) y = x - 3 and y = x + 6

 This has the same answer as c.  Parallel lines (both have slopes of 1.).  They will never meet:  no solutions.

d) y = 7 and y =3x-5

One solution.  Straight lines with different slopes (3 and 0) so they will cross at one point.  [At (4,7)]

e) y = -4x and y = -4x - 1

Same slopes.  There are no solutions.

IF YOU DON'T MIND, HELP ME

Answers

Answer:

1824 in²

Step-by-step explanation:

This figure consists of a triangle and a rectangle.

To find the area of the entire figure , we have to find the area of the triangle and the rectangle separately and add them.

Let us solve now.

Area of the triangle

Area = [tex]\frac{1}{2}[/tex] × base × height

Area = [tex]\frac{1}{2}[/tex] × 48 × 12

Area = [tex]\frac{1}{2}[/tex] × 576

Area = 288 in²

Area of the rectangle

Area = length × width

Area = 48 × 32

Area = 1536 in²

Area of the entire figure

Total area = Area  of the triangle + Area of the rectangle

Total area = 288 in² + 1536 in²

Total area = 1824 in²

Hope this helps :-)

Let me know if you have any other questions :-)

A student increases the temperature of a 100 cm³ balloon from 60°C to 120°C. What will the new volume of the balloon be? 118 cm³ 200 cm³ 236 cm³ 400 cm³.

Answers

Volume is directly proportional to the temperature. The volume of the new balloon is given by: Option B: 200 cm³

What is the relation between volume and temperature for a gas?

If the initial volume and temperatures for a gas(assuming behaving ideally) are written as: [tex]V_1[/tex] and [tex]T_1[/tex], and the changed volume and temperatures are [tex]V_2[/tex] and [tex]T_2[/tex], then we have:

[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}[/tex]

For the given case, we are provided that:

Volume of balloon at [tex]T_1 = 60^\circ C[/tex] is [tex]V_1 = 100 \: \rm cm^3[/tex]

Let for temperature [tex]T_2 = 120^\circ C[/tex], we get volume of balloon (which is the volume of the air inside it) as [tex]V_1 = x \: \rm cm^3[/tex]

Then, by the volume-temperature ratio, we get:

[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}\\\\\dfrac{100}{60} = \dfrac{x}{120} \implies x = 2 \times 100 = 200 \: \rm cm^3[/tex]

Thus, the volume of the new balloon is given by: Option B: 200 cm³

Learn more about volume and temperature relation for ideal gases here:

https://brainly.com/question/936104

Answer: 118 cm3

Step-by-step explanation:

I took the test it was correct

Just an answer and a simple explanation. Please and Thank you!

Answers

Answer:

x = 15°

Step-by-step explanation:

If you use Vertical Angles, you can move the two algebraic expressions next to each other and totaling 90° (because m and n are perpendicular)

x + 21 + 3x + 9 = 90°

combine like terms.

4x + 30 = 90

subtract 30 from both sides.

4x = 60

divide by 4.

x = 60/4

x = 15

Which situation would require determining volume? Nick wants to know how much tile it takes to cover the floor of a room. Min wants to know how much fence is needed to go around the edge of his yard. Sarah wants to know how much water her fish tank can hold. I don't know.

Answers

Answer:

Sarah's fish tank

Step-by-step explanation:

Nick needs area - the space covering a flat surface

Min needs perimeter - the distance around something

Sarah needs volume - the space inside something

=
17
6
× 12 in

WHATS THE ANSWER

Answers

Answer:

34 = 34/1

Step-by-step explanation:

17/6 x 12/1 =  34

I am not entirely sure but if I am understanding what your trying to ask the answer is 34.

im so confused pleaseeee help

Answers

Answer:

99mm^2

Step-by-step explanation:

Area of a rectangle: A = l*w

Length: 11mm

Width: 9mm

A = 11 * 9

A = 99 mm^2

Hope this helps!

Use the diagram below of similar triangles to find the value of y.

Answers

Answer:

y = 10.5

Step-by-step explanation:

Δ MOP and Δ MNQ are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{OP}{NQ}[/tex] = [tex]\frac{MO}{MN}[/tex] ( substitute values )

[tex]\frac{y}{7}[/tex] = [tex]\frac{8+4}{8}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8y = 84 ( divide both sides by 8 )

y = 10.5

In a blueprint, each square has a side length of 1/4 inch. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom? Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?

(as you can see, I already got the answer for a. I just need the answer for b.)

Answers

b.

Bedroom area

Lenght = 5 squares

= 5 × 1/4 inchi

= 5/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 5/4 × 1 inchi

= 5/4 inchi

Living room

Lenght = 7 squares

= 7 × 1/4 inchi

= 7/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 7/4 × 1 inchi

= 7/4 inchi

Total Area

Bedroom area + Living room area

= 5/4 + 7/4

= (5+7)/4 inchi

= 12/4 inchi

= 3 inchi

1 square yard = 1296 square inches

so 1 square inches = 1/1296 square yard

3 inchi = 3×1/1296

= 3/1296

= 1/432

Cost = 1/432 × $18

= $1/24

It would cost $1/24 to carpet the bedroom and living room.

is it true or false is this a function (pls help)

Answers

Answer: True

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

True

Step-by-step explanation:

Using the vertical line test since it only passes through the graph once it is a function

25% of what number is 20?​

Answers

Answer:

80

Step-by-step explanation:

x*.25=20

x=20/.25

x=80

80 is the number explanation: 25% of 80= 20 hope this helps and if it doesn’t im so sorry!

How many triangles can be formed with segments measuring 1 2/3 mm, 1 3/4 mm, and 2 1/2 mm?


Select from the drop-down menu to correctly complete the statement.



Choose...

can be formed from these segments.

Answers

Answer:

One

Step-by-step explanation:

Took the test!

Answer:

ONE TRIANGLE

Step-by-step explanation:

TOOK TEST

Select the choice that translates the following verbal phrase correctly to algebra:

the product of 12 and y increased by 11

Answers

Step-by-step explanation:

( 12 × y ) + 11

The product of 12 & y = 12 × y

Increasing = adding = (12×y) + 11

12y + 11.

Please help me solve this problem ASAP

Answers

Answer:

Isnt the Area of an triangle a 180 degrees

Step-by-step explanation:

The table shows the membership cost for two CD clubs. How many CDs would you need to buy in a year in order for the total cost of both memberships to be the same?

CD Club Membership
Club #1: Annual Fee = 50$ and Cost Per CD = 7.50$
Club #2: Annual Fee = 35$ and Cost Per CD = 8.00$

Answers

Answer:

Club 1: 16 would be 120

Club 2: 15 would be 120

Isaac planted 64 fewer trees than Leon. Leon planted t trees. Write an expression that
shows how many trees Isaac planted.

Answers

Leon planted 64 more trees the Isaac
As a mathematical expression, if leon planted t trees, we know that Issac planted 64 less, so an expression for this could be

t - 64
(which is read as 64 trees less than 5)

3 ratios equivalent to 5 : 2

Answers

Answer:

25/10 ,30/12,10/4

Step-by-step explanation:

1) 5/2*5/5

2)5/2*6/6

3)5/2*2/2

Ethan's monthly salary is $1850. In a particular month, he spent 20.5% of his salary on room rental, $690 on food and $940 on other expenses. Express the amount that he overspent as a percentage of his monthly salary, giving your answer correct to 2 decimal places.​

Answers

Answer:

He overspent 8.61% as a percentage of his monthly salary.

Step-by-step explanation:

Answer:

8.61% (2 dp)

Step-by-step explanation:

Salary = 1850

Food = 690

Other = 940

Rent = 20.5% = 20.5/100 = 0.205

Therefore, 20.5% of the salary = 0.205 x 1850 = 379.25

Total spent = 690 + 940 + 379.25 = 2009.25

Percent change = [ (difference between initial and final value) ÷ initial value] x 100

=[(2009.25 - 1850) ÷ 1850] x 100 = 8.61% (2 dp)

According to the graph, what is the value of the constant in the equation below?

Answers

well, let's take a look at the graph hmmmm as "x" is moving further towards the right, the line is going down, or namely "y" is lessening and lessening, which is another way to say that "y" is inversely proportional to "x".

well, we know a few points on the line hmmm let's use say hmm (10 , 8) to get the constant of proportionality.  Any point will do btw, we're just using this one.

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"H" varies inversely with "w"}}{H=\cfrac{k}{w}}\qquad \textit{we know that} \begin{cases} H=8\\ w=10 \end{cases} \\\\\\ 8=\cfrac{k}{10}\implies \boxed{80=k}[/tex]

2) What percent of 87 is 55 ?

Answers

Answer:

If you don't add decimals a 63.

Step-by-step explanation:

because 55 out of 87 correct on a test would be a 63%

Your answer is 63.2183908%

What are the factors and zeros of the function f(x)=−2x2+7x+15?

Answers

Solving the quadratic function, it is found that the factors/zeros of the function are given by x = -1.5 and x = 5.

What are the factors/zeros of a function?

They are given by the solutions of the function, that is, the values of x for which f(x) = 0.

In this problem, the function is given by:

f(x) = -2x² + 7x + 15.

Then:

-2x² + 7x + 15 = 0.

Which is a quadratic function with coefficients a = -2, b = 7, c = 15, hence:

[tex]\Delta = 7^2 - 4(-2)(15) = 169[/tex]

[tex]x_1 = \frac{-7 + \sqrt{169}}{2(-2)} = -1.5[/tex]

[tex]x_2 = \frac{-7 - \sqrt{169}}{2(-2)} = 5[/tex]

The factors/zeros of the function are given by x = -1.5 and x = 5.

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ2


in the given figure ABCD is a piece of land find the length of side BD and BC and the area of the land

Answers

Answer:

use Pythagoras theorem by dividing the plane into two triangles one is triangel ABD and triangle DBC.

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