For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.


Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Answer:

d) 16 degrees Fahrenheit

Step-by-step explanation:

What do we know? Initial temperature: -2. Then the temperature rose by 18 degrees. We can express this mathematically:

[tex]-2+18[/tex]

If you are not particularly comfortable with negatives, you can rewrite this expression as such:

[tex]18-2[/tex]

[tex]16[/tex]

Thus the temperature at sunset was 16 degrees Fahrenheit.

Answer:

16 degrees

-2 + 18 is 16

Step-by-step explanation:

If this is wrong EXPLAIN HOW ITS WRONG

Answer:

50

Step-by-step explanation:

The x-axis represents the number of broken light bulbs, as labelled on the histogram. The highest range is 41 to 50, therefore the greatest possible number of broken light bulbs is 50.

Answer:

50

Step-by-step explanation:

The last bar on the number of broken light bulbs (x) axis covers the range 41-50. Thus, 50 is the maximum number of broken light bulbs that can be and is represented in this histogram.

You can apply the formula of perimeter of rectangle and that is 2(l+b)....

Answer:

14m

Step-by-step explanation:

Answer:

d.  64.3 m

Step-by-step explanation:

Answer: The answer is A my bro trust me *Fist Bump*

Answer:

A

Step-by-step explanation:

I did it and got it right.

Hope this helps:)

The combined cost of one loaf of bread and one package of cheese is $6.50.

Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1.50 more than the cost of a loaf of bread. To find out the combined cost of one loaf of bread and one package of cheese, we need to use a system of equations.

Let the cost of one loaf of bread be x. Therefore, the cost of one package of cheese would be x + $1.50. Since Mason bought 6 loaves of bread and 3 packages of cheese, we can express the total cost as:

6x + 3(x + $1.50) = $27

Distributing the 3 into the parentheses, we get:

6x + 3x + $4.50 = $27

Combining like terms, we have:

9x + $4.50 = $27

Subtracting $4.50 from both sides, we get:

9x = $22.50

Dividing both sides by 9, we find out that one loaf of bread (x) costs:

x = $2.50

Now, adding the additional $1.50 for the cheese, we find that one package of cheese costs:

x + $1.50 = $4.00

The combined cost of one loaf of bread and one package of cheese is therefore:

$2.50 (bread) + $4.00 (cheese) = $6.50

Answer:

48

Step-by-step explanation:

48=2×2×2×2×3

78=13×2×3

48 has 5 factors.

Answer:

√2 - 1

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

F(x)=7x^2 or G(x)=7x^2

Step-by-step explanation:

Answer:

X= 5  Y= -2

Step-by-step explanation:

Answer:

0

4

5

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(p+5)

Final answer:

To carpet a room measuring 3 meters by 2 meters, you need 6 square meters of carpet.

Explanation:

To calculate the area of a rectangular room that measures 3 meters in length and 2 meters in width, you multiply the length by the width.

Using the formula Area = length × width,

As we can see that the room is a rectangle with width 2 and length 3

So,

Length = 3 m

Width = 2 m

We find that the room's area is 6 square meters (3m × 2m = 6m²).

Therefore, to carpet a room of this size, you would need to buy 6 square meters of carpet.

Answer:

correct answer = 90%

Step-by-step explanation:

Let x be the percent of the question did she answer correctly.

Given:

An engineering student answered 81 questions correctly on a 90 question test.

Find the percent of the question did she answer correctly.

Solution:

Percentage formula is given below

% answer [tex]=\frac{correct\ answer}{total\ questions}\times 100[/tex]

% answer [tex]=\frac{81}{90}\times 100[/tex]

% answer [tex]=\frac{81\times 100}{90}[/tex]

% answer [tex]=\frac{81\times 10}{9}[/tex]

% answer [tex]=9\times 10[/tex]

% answer [tex]=90[/tex]

correct answer = 90%

Therefore, she answered 90% correctly.

Answer:

90%

Step-by-step explanation:

Answer:

What was the question (I can't see the picture)

Step-by-step explanation:

Answer:

B. 180 degrees

Step-by-step explanation:

∠A, ∠B and ∠C are collective the internal angles of a triangle.

By definition, the internal angles of a triangle sum to 180degrees

hence ∠A + ∠B + ∠C = 180 degrees

(see also attached graphic for reference)

Answer:

[tex]2^8[/tex]

Step-by-step explanation:

To find the quotient of:

[tex]\frac{2^4}{2^{-4}}[/tex]

Solution:

We will apply quotient rule of exponents to find the quotient of the given expression.

By Quotient rule: [tex]\frac{a^x}{a^y}=a^{(x-y)}[/tex]

Thus the quotient for the expression can be given as:

[tex]\frac{2^4}{2^{-4}}[/tex]

⇒ [tex]2^{(4-(-4))}[/tex]

⇒ [tex]2^{(4+4)}[/tex]

⇒ [tex]2^8[/tex] (Answer)

The expression [tex]\frac{2^4}{2^-4}[/tex] can be simplified to 256.

To solve the expression [tex]\frac{2^4}{2^-4}[/tex], we can use the properties of exponents :

Therefore, the value of the expression [tex]\frac{2^4}{2^-4}[/tex] is 256.

Answer:

63 pizzas

Step-by-step explanation:

In the problem it states that Sam sold half as many pizzas as Odel and sold 126 together in total. If you divide 126 pizzas by 2 or 1/2, you should get 63 pizzas for both people. Hope this helps.

The total number of frozen pizzas which Sam sell for a class fundraiser is 42 which is half as many pizzas sell by Odel.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Sam and Odel have been selling frozen pizzas for a class fundraiser. Let the Sam has sold x number of pizzas and Odel is sold y number of pizzas.

Now it is given in the problem that, Sam has sold half as many pizzas as Odel. Thus,

[tex]x=\dfrac{y}{2}\\y=2x[/tex]                               ......1

Together Sam and Odel have sold a total of 126 pizzas. Thus,

[tex]x+y=126\\[/tex]

Put the value of y from the equaiton 1 in the above equation,

[tex]x+2x=126\\3x=126\\x=\dfrac{126}{3}\\x=42[/tex]

Hence, the total number of frozen pizzas which Sam sell for a class fundraiser is 42 which is half as many pizzas sell by Odel.

Learn more about the system of equations here;

https://brainly.com/question/13729904

Answer:

x = 13.25 or 13 1/4

Step-by-step explanation:

4x - 50 = 3

4x = 53

x = 13.25 or 13 1/4

Answer:

53 / 4

13 whole number, 1/4

Step-by-step explanation:

Answer:

[tex](f+g)(x)=x^2+2x-5[/tex]

Step-by-step explanation:

Given:

The functions given are:

[tex]f(x)=2x+3\\g(x)=x^2-8[/tex]

To find: [tex](f+g)(x)[/tex]

[tex](f+g)(x)[/tex] is equal to the addition of both the functions. So, we need to add the values of both the functions and then simplify to arrive the final answer.

Therefore, [tex](f+g)(x)[/tex] is given as:

[tex](f+g)(x)=f(x)+g(x)[/tex]

Plug in the values of [tex]f(x)\ and\ g(x)[/tex] and simplify. This gives,

[tex](f+g)(x)=2x+3+x^2-8[/tex]

Combining like terms using commutative property of addition, we get

[tex](f+g)(x)=x^2+2x+3-8\\(f+g)(x)=x^2+2x-5[/tex]

Therefore, the addition of the two functions is simplified to:

[tex](f+g)(x)=x^2+2x-5[/tex]

Answer:

The shopkeeper lost $500

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15 or 14.8, depending on whether it is a ehole number on on decimal place

Step-by-step explanation:

Answer: Tara paid more per box

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

f(x)=8(x−3)+13

f(5)= 8(5-3)+13

f(5) = 8(2) +13

f(5) = 16 +13

f(5)= 29

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

Answer:

Your correct answer is 29! Here is the step by step explanation!

Step-by-step explanation:

f(x)=8(x−3)+13

f(5)= 8(5-3)+13

f(5) = 8(2) +13

f(5) = 16 +13, wich means when you do this,

f(5)= 29

you get your answer of 29! Please mark brainliest! Hope it helped! Have a nice day!

Answer:

2:23 pm

Step-by-step explanation:

We can solve this considering a a right triangle

let t = travel time of both ships

therefore,

15t = distance traveled by ship A

however, it is traveling toward the point of reference, therefore we write it

(30-15t)

and

10t = distance traveled by ship B, away from the point of reference

Let d = distance between the ships at t time, (the hypotenuse of the right triangle)

[tex]d= \sqrt{(30-15t)^2+10t^2}[/tex]

and combine like terms

[tex]d= \sqrt{(900-900t+225t^2)+100t^2}[/tex]

[tex]d= \sqrt{3325t^2-900t+900}[/tex]

from this d to minimum we can find the axis of symmetry, where in

a=325 and b= -900

the t=-b/2a

[tex]t= -\frac{-900}{2\times325}[/tex]

t= 1.384 hours

now putting the value we get

[tex]d= \sqrt{3325(1.384)^2-900(1.384)+900}[/tex]

solving this we get

d= 16.64 miles

therefore,

16.64 mi apart after 1.3846 hrs, minimum distance between the ships

now, 1.384 hours = 1+60(0.348) hour

= 1 hour and 23 minutes

so, the time at which the distance d between the ships is minimal = 1:00 pm + 1 hour and 23 minutes = 2:23 pm

Answer:

Answer:

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

(((2•(x3))+(10•(x2)))-(22x2•y))-20xy

Step  2  :

Equation at the end of step  2  :

(((2 • (x3)) +  (2•5x2)) -  22x2y) -  20xy

Step  3  :

Equation at the end of step  3  :

((2x3 +  (2•5x2)) -  22x2y) -  20xy

Step  4  :

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

 2x3 - 4x2y + 10x2 - 20xy  =

2x • (x2 - 2xy + 5x - 10y)

Final result :

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

Answer:

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (((2•(x3))+(10•(x2)))-(22x2•y))-20xy

Step  2  :

Equation at the end of step  2  :

 (((2 • (x3)) +  (2•5x2)) -  22x2y) -  20xy

Step  3  :

Equation at the end of step  3  :

 ((2x3 +  (2•5x2)) -  22x2y) -  20xy

Step  4  :

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  2x3 - 4x2y + 10x2 - 20xy  =

 2x • (x2 - 2xy + 5x - 10y)

Final result :

 2x • (x2 - 2xy + 5x - 10y)

Answer: 126 and 128

Step-by-step explanation: In this problem have two consecutive even integers whose sum is 254.

Consecutive even integers can be represented as followed.

X ⇒ first even integer

X + 2 ⇒ second even integer

Since the sum of these is 254, our equation reads X + X + 2 = 254.

We can simplify on the left side of the equation to get 2x + 2 = 254.

Now, we subtract 2 from both sides of the equation to get 2x = 252.

Lastly, we will divide both sides of the equation by 2 in order to isolate x. On the left side, the 2's cancel out and on the right, 252 divided by 2 is 126.

If our first integer is 126, our next consecutive even integer will be 126 + 128 which simplifies to 254.

Therefore, our two consecutive even integers are 126 and 128.