Are the following rectangles similar? Why or why not????

use sine law. x = 16.3cm

Step-by-step explanation:

Since triangle angles add up to 180 deg

angle F = 180 -87 -40 = 53

side EF/ sin (angle G) = side EG / sin (angle F )

EF / sin(87) = 13 / sin(53)

EF = 13/sin(53) × sin(87)

EF = 16.3cm

Answer:

l''kkk 1/2 cups

Step-by-step explanation:

To make 45 muffins the amount of flour required will be 6.25.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.

The amount of flour required will be calculated as:-

2 (1/2) flour ⇒ 18 muffins

2.5 flour ⇒ 18 muffins

2.5 x 2.5 flour ⇒ 2.5 x 18 muffins

6.25 flours ⇒ 45 muffins

Therefore, to make 45 muffins the amount of flour required will be 6.25.

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Answer:

10.2

Step-by-step explanation:

Answer:

13 %

I hope it's correct.

Step-by-step explanation:

initial marks (o) = 98

final marks (m) = 85

rate (r) = ?

Now,

r =

[tex] \frac{o - m}{o} \times 100percent[/tex]

= ((98-85)/98)x100%

=13.26%

222Answer:

Step-by-step explanation:

As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39

Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

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Answer:

b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.

Alt: The population average VDAS scores are different for the two groups.

Step-by-step explanation:

Given

The above data

Required

Determine the null and alternate hypothesis

When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.

i.e. statements like "equal to", "the same as", etc.

The alternate hypothesis will then contain inequalities or inequality statements

From the list of options, only option (b) is correct.

Answer:

x = 2

Step-by-step explanation:

5x - 6 = 4

add 6 to each side

5x = 10

divide each side by 5

x = 2

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

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Answer:

I think C

Step-by-step explanation:

sorry if I'm wrong

D i answered this one on khan.

Step-by-step explanation:

There are 6 faces in a die 3 is an even no.

So, probability of getting 3 is

3/6=1/2 Answer

hope it helps...

Answer:

The total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

Step-by-step explanation:

Given that to purchase $ 13,900 worth of lab equipment for her business, Amy made a down payment of $ 1900 and took out a business loan for the rest, and after 3 years of paying monthly payments of $ 365.07, she finally paid off the loan to determine the total cost and interest applied on the loan, the following calculation must be made:

(365.07 x 12 x 3) + 1900 = Total cost

4,380.84 x 3 + 1900 = Total cost

13,142.52 + 1900 = Total cost

15,042.52 = Total cost

13900 = 100

15042.52 = X

15042.52 x 100/13900 = X

1,504,252 / 13,900 = X

108.22 = X

Therefore, the total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

Answer:

[tex]\sqrt{43}[/tex]

Step-by-step explanation:

Answer:

I didnt get what the photo shows....

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

By tangent secant theorem:

[tex]25(25 + x) = {35}^{2} \\ 625 + 25x = 1,225 \\ 25x = 1225 - 625 \\ 25x = 600 \\ x = \frac{600}{25} \\ x = 24[/tex]

Answer:

0.554

Step-by-step explanation:

1.04-.486=0.554

Answer:

Answer:

You paid $8.06

Step-by-step explanation:

3.25 pounds times $2.48 per pound is 8.06.

Can I have brainliest pls :D

Hope this helps

Answer:

Y=620×((1+(0.055÷4))^(4t)

Step-by-step explanation:

Y=X ((1+(r/n))^(nt)

Y future value

X present value 620

R interest rate 0.055

N compound quarterly 4

T time

Answer:

v=433.33

Step-by-step explanation:

Answer:

The perimeter of a rectangle is 36 cm, its breadth is 8 cm

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 36 cm

length (L) = 10 cm

Now,

Perimeter (P) = 2 × (length + breadth)

P = 2 × (l + b)

36 = 2 × (10 + b)

36 = 20 + 2b

2b = 36 - 20

2b = 16

b = 16 ÷ 2

b = 8 cm

Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm

-TheUnknownScientist

The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.

[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.

[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.

Breadth (B) of a rectangle.

We know,

P = 2(L + B)

So,

36 = 2(10 + B)

36 = 20 + 2B

36 - 20 = 2B

16 = 2B

B = 16/2 = 8 cm.

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

Answer:

5 and 48

Step-by-step explanation:

27:45

Simplify the ratio

3:5

The first one must be 5, and option 1 (5 and 48) is the only one with 5.

Answer:

25%

Step-by-step explanation:

Answer:

Step 2

Step-by-step explanation:

I'm not that sure but I think that its right

Answer:

B. Step 2

Step-by-step explanation:

ENDG

Answer:

the answer is 2400 cents

Step-by-step explanation:

if you have 48 candies and each cost 50 cents so u meltiply 48 with 50. so if u mutiply them u get 2400cents, but if u want them in dollar then 1 dollar is 100 cent so if 1 dollar = 100 cent

                   ?        = 2400 cent

you criss -cross them so when u do 2400 multiplyed by 1 is 2400 and 100 multiplyed by ? is 100?  

so your going to get this

2400 = 100?

so u divide both sides by 100 because u want "?" alone. so when u do 100 will vanish because you divided both sides with 100

so it will look something like this

2400/100 = ?

when u divide 2400 with 100 u get 24.

what does that mean? it mean 2400 cents are 24 dollars

do you get it?

Answer:

2 real solutions

Step-by-step explanation:

Determinant of a quadratic equation: [tex]b^2-4ac=(-3)^2-4\times2\times(-7-36)=353.[/tex]

Since the determinant is larger than 0, it has 2 real solutions.