14.) Are the triangles similar? Explain

Answer:

a) 11x

b) x=14

Step-by-step explanation:

So we know that there are 2 shapes

a triangle and a rectangle

The area for a triangle is b*h/2

The area for a rectangle is L*W

Now we know the height and the base for the triangle and we know the length and width of the rectangle

So lets do the triangle first

So we know the height is 6 and the base is x.

Now 6*x is 6x.

And 6x/2 is 3x.

now we know that the triangle angle is equal to 3x

now the rectangle is 8*x

which is 8x

now we know the rectangle (8x)

now we add them up since it’s asking for the total area

Now its 11x

So thats part A, 11x is the expression

A expression is Without a equal sign and it’s used as a basic formula for he unknown variable

The equation now for part b is

11x=154

now that is the equation becuase we sole for x and we an use the previous expression becuase now we know what the area is.

now solve for x and you’ll get x=14.

The amount spent is $1,800.00 less than the amount budgeted. The correct answer would be an option (B).

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Given data as follows

Budgeted: $11,600.00

Spent: $9,800.00

To determine the difference between the amount budgeted and the amount spent, we can subtract the amount spent from the amount budgeted:

$11,600.00 - $9,800.00 = $1,800.00

So, the amount spent is $1,800.00 less than the amount budgeted.

Hence, the correct answer would be option (B).

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

y - 1 = 3/4 * (x + 6)

Step-by-step explanation:

Answer:

$9.3

Step-by-step explanation:

1.35 x 3 = 4.05

3.50 ÷ 2 = 1.75

1.75 x 3 = 5.25

5.25 + 4.05 = 9.30

Answer:

The value of 5·K(-3) - 7·K(-4) is -11

Step-by-step explanation:

The graph of the function y = K(x) is given;

Given that the graph of the function is defined in the given interval of the graph from -5 < x < 5, the value of the function is given from directly reading from the graph

The value of y at x = -3 is read from the graph as y = K(-3) = 2

The value of y at x = -4 is read from the graph as y = K(-4) = 3

Therefore;

5·K(-3) - 7·K(-4) = 5 × 2 - 7 × 3 = -11

The value of 5·K(-3) - 7·K(-4) = -11

Answer:

Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours

Step-by-step explanation:

Let the total number of hours Tadeo volunteered be x

Let the total number of hours Dylan volunteered be y

If together they volunteer at a total of 14 hours, then;

x + y = 14 ...... 1

If Tadeo Volunteered at the library six times as many hours over the weekend as Dylan, then;

x = 6y

Substitute x = 6y into 1;

6y + y = 14

7y = 14

y = 14/7

y = 2

Since x = 6y

x = 6(2)

x = 12

Hence Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours

Answer:m is rational and n is irrational

Step-by-step explanation:

Answer:

do u still need help on this question

x-values can be anything since we don't have any x term to substitute.

It can also be explained by a graph. The constant graph is a horizontal graph and it shows that x can be any real numbers.

Answer:

5y ≤ 15

Step-by-step explanation:

skkskskskksksksk

Answer: New Profit Function is P(x)=-2x^2+44x-42

Step-by-step explanation:

Write a function for Revenue first (Price * Units Sold = Revenue)

r(x)=(48-2x)x

Now you can write a function for profit.

P(x)=(48-2x)x-(4x+42)

48x-2x^2-4x-42

P(x)=-2x^2+44x-42

Pop it into the graph and you would find that she has to sell 11 wind chimes to gain the maximum profit of 200 dollars.

If you want to solve with out a graph, use vertex form equation: -b/2a

-44/-4=11

-2(11)^2+44(11)-42=200.

Answer: 6.5%

Step-by-step explanation:

Given : Principal amount = $ 2000

Time = 8 years

Final amount = $3040

Formula : Simple interest = Final amount - Principal amount

= $3040 - $ 2000

= $1040

Simple interest = Principal x time x rate

Substitute all values in this formula , we get

[tex]1040=2000\times8\times Rate\\\\\Rightarrow\ Rate=\dfrac{1040}{2000\times8}\\\\\Rightarrow\ Rate=0.065\\\\\Rightarrow\ Rate=0.065\times100\\\\\Rightarrow\ Rate=6.5\%[/tex]

Hence, the annual interest rate on this account = 6.5%

Answer:

21

Step-by-step explanation:

Answer:

Honestly love how she's talking to another guy so she dated a guy then cheated on him now shes talking to another guy cheating on him with another guy don't waste your time on her she is a cheater

Answer:

The price for a small glass of milk is $0.95, and the price for a breakfast taco is $1.15.

Step-by-step explanation:

Let the price of a taco be x and the price for a small glass of milk be y.

[tex]x + y = 2.1[/tex]

[tex]2x + 3y = 5.15[/tex]

Multiply the first equation by 2:

[tex]2x + 2y = 4.2[/tex]

Subtract the new third equation from the second equation:

[tex](2x + 3y) - (2x + 2y) = 5.15 - 4.2[/tex]

[tex]y = 0.95[/tex]

Hence, the price for a small glass of milk is $0.95.

Substitute y into the first equation.

[tex]x + 0.95 = 2.1[/tex]

[tex]x = 1.15[/tex]

Therefore, the price for a breakfast taco is $1.15.

Hope this helped!

Answer:

2t + 3m = 5.15

Step-by-step explanation:

  Since the problem tells us that the cost of a breakfast taco and a small glass of milk is $2.10, we can write the equation

t + m = 2.10

Since the cost of two tacos and 3 small glasses of milk is $5.15, we can write the equation

2t + 3m = 5.15

Hope this helps.  :)

Answer:

x a anser is a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Solve through logic and brain rather than lengthy calculations

Trick to be used

See

Only option D contains y≤4

Option D is correct

Answer:

b. 729 cubed inches³

Step-by-step explanation:

A cube's area can be calculated using the length. The formula is length³.

Volume of 9-inch cube = 9³ inch

                                       = 729 cubed inches³

Step-by-step explanation:

assuming two points with coordinates :

(Xa,Ya) and (Xb,Yb)

use formula : (Xb-Xa)/ (Yb-Ya)

= 5+1/-3-1 = 6/-4

the standard form is 6/-4 × x

Answer:

d

Step-by-step explanation:

i got it right on the quiz

Answer:

12 + 2w > 40

w > 19

Minimum value of w is 20 feet.

Step-by-step explanation:

Consider the provided information.

Sharon has at most $25 to spend on her sister's birthday gift.

That means Sharon can spend not more than $25.

She already bought a knitting machine for her, which cost $14.99.

She would also like to get her sister some skeins of yarn to go with it. Each skein costs $2.75.

Let y represent the number of skeins of yarn.

Thus, the required inequality is:  

Now solve the above inequality.

Skeins must be an integer.

Hence, the most number of skeins Sharon can afford to buy is 3.

ona wants to bake at most 30 loves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50 , And each loaf of nut bread sells for $2.75. Cora wants to make at least $44. Write a system of inequalities to model the situation

Answer:

Yes these triangles are congruent, because they are the same angles and size, just rotated -90 degrees. that mean that these have the same shape just different looks.

Step-by-step explanation:

Ok so this next one is "milo0anderson's" im just putting it in an answer because he could only comment, so here

"yes two right triangles are congruent because... If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent. An included side is the side between the two given angles. Congruent Triangles When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

"

Answer:

yes, by the Angle Angle Side theorem (AAS), the 2 triangles are congruent

Answer: 20 cents per pencil

Step-by-step explanation:

Answer: x= -3t/26

if it’s for x = -3t/26

If it’s for t= 26x/3

Step-by-step explanation:

Hope it helps

Answer:

13, 22, 31

Step-by-step explanation:

a(n) = a +(n-1)d

a=4

d=9

°.° a(n) = 4 +(n–1)9

a(2) = 4 +(2–1)9 =13

a(3) = 4 +(3–1)9 =22

a(4) = 4 +(4–1)9 =31

hope this helps

Answer:

60 inches by 25 inches

Step-by-step explanation:

because my calculator said so