Which Two Triangles Are Congruent? Complete The Congruence Statement. (2024)

[tex] \frac{58 - 34}{0.453} = 52.98[/tex]

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

The number of years it will take to double the investment is 15 years.

What is compound interest?

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Principal = $9000

Rate = 5%

The formula is given as:

A = p [tex](1 + \frac{R}{100} )^{n}[/tex]

n = number of years

Double the investment:

Amount = 2 x 9000 = 18000

Now,

18000 = 9000 [tex](1 + \frac{R}{100} )^{n}[/tex]

2 = [tex](1 + 0.05)^{n}[/tex]

2 = [tex]1.05^{n}[/tex]

Taking log on both sides.

[ log a² = 2 log a ]

log 2 = n log 1.05

0.30 = n 0.02

n = 0.30 / 0.02

n = 15

Thus,

The number of years it will take to double the investment is 15 years.

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Answer:

true

Step-by-step explanation:

no false sorry

Answer:

40

Step-by-step explanation:

Girls=(25+b)

boys=b

girls + boys=105

(25+b)+b=105

2b=80

b=40

Check answer

girls=b+25

girls=40+25

girls=65

boys+girls=105

40+65=105

105=105

There are 40 boys in the school.

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let 'x' be the number of girls and 'y' be the number of boys in the school.

There are 105 pupils in a school.

So, we get an equation,

⇒ x + y = 105 ..................(1)

the girls are 25 more than the boys.

So, we get an equation,

⇒ x = y + 25 .........................(2)

Substitute above value of x in equation (1)

⇒ (y + 25) + y = 105

⇒ 2y + 25 = 105

⇒ 2y = 80

⇒ y = 40

Substitute above value of y in equation (2),

⇒ x = 40 + 25

⇒ x = 65

Therefore, there are 40 boys in the school.

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The answer is 10

Because the formula for area of a triangle is b x h/2 so you would 8 *10 which would be 80 then you would divide 80 by two and then you would get your answer.

Answer:

C)

B)

C)

Step-by-step explanation:

Question-1:

recall the surface area formula of cylinder

[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]

given that,h=5 and r=0.7

substitute:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =25.0572 sqm[/tex]

hence, our answer is C

Question-2:

remember the surface area formula of cone

[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]

given that,r=7 and s=10

substitute:

[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =373.66sqcm[/tex]

hence, our answer is B

Question-3:

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]

we are given that,[tex]A_S=600[/tex] Thus

substitute:

[tex] \displaystyle 6 {a}^{2} = 600[/tex]

divide both sides by 6:

[tex] \displaystyle {a}^{2} = 100[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 10[/tex]

hence, the measurement of each

edge is 10 cm therefore our answer is C)

y = -3(x - 6)

y = -3x + 18

3x + y = 18

Answer:

The team scored more free throws in fewer attempts (68 versus 66) and, furthermore, if the same amount of free throws had been attempted, the number of hits with that percentage would be 72. Therefore , it can be stated that the team significantly improved its free throw percentage.

Step-by-step explanation:

Given that in an early home game, an NBA team made 70.21 percent of their 94 free throw attempts, and in one of their last home games, the team had a free throw percentage equal to 76.4 percent out of 89 attempts, to determine if the team significantly improved its free throw percentage, the following calculation must be performed:

100 = 94

70.21 = X

70.21 x 94/100 = X

66 = X

100 = 89

76.4 = X

76.4 x 89/100 = X

68 = X

100 = 94

76.4 = X

76.4 x 94/100 = X

72 = X

Therefore, at first glance, the team scored more free throws in fewer attempts (68 versus 66) and, furthermore, if the same amount of free throws had been attempted, the number of hits with that percentage would be 72. Therefore , it can be stated that the team significantly improved its free throw percentage.

Answer:

D similar by AA

Step-by-step explanation:

L B = L D ( right angle)

L BCA = L DCE (push back angle)

Step-by-step explanation:

from the triangle

let angle close to 130⁰ be y

130⁰+y⁰=180⁰(sum of angles on a straight line)

y⁰= 180⁰-130⁰

y = 50⁰

70 + y + x = 180⁰(sum of angles in a triangle)

70 + 50 + x= 180⁰

x= 180⁰-120⁰

x=60⁰

Answer:

The expected value of a ticket is of -$5.

Step-by-step explanation:

The expected value of the ticked is the probability of earning each prize multiplied by the prize, and subtracted by the value of the ticket.

Value of the ticket:

$10.

100 tickets are sold. They will award one first prize of $300, one second prize of $150, and one third prize of $50.

Thus, 1/100 probability of earning $300, 1/100 probability of 150 and 1/100 probability of 50. So

[tex]E = \frac{1}{100}300 + \frac{1}{100}150 + \frac{1}{100}{50} - 10 = 3 + 1.5 + 0.5 - 10 = -5[/tex]

The expected value of a ticket is of -$5.

Step-by-step explanation:

I hope you understand what I wrote

Answer:

cos=Adjacent / hypotenuse

[tex] \cos = \frac{35}{37} [/tex]

choose B.

Answer:

The correct answer is "0.0000039110".

Step-by-step explanation:

The given values are:

[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]

[tex]\mu = 40n[/tex]

[tex]\sigma^2=100n[/tex]

[tex]n=20[/tex]

then,

The required probability will be:

= [tex]P(Y_{20}>1000)[/tex]

= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]

= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]

= [tex]P(Z>\frac{200}{44.7214} )[/tex]

= [tex]P(Z>4.47)[/tex]

By using the table, we get

= [tex]0.0000039110[/tex]

Answer:

b. because if there is a bigger population the sample will be more random

Answer:

80 degrees

Step-by-step explanation:

first we need to find the measure of F, we know a straight line equals 180 so we subtract 120 from 180

180-120=60

then add that to angle D

60+40=100

and all triangle angles add up to 180 so subtract 100 from 180

180-100=80

80 is your answer

Answer: hello your question is poorly written hence I will provide the required matrix

answer :

A = [tex]\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right][/tex]

Step-by-step explanation:

Given that the basis of the orthogonal complement have been provided already by you in the question I will have to provide the Matrix

The required matrix

[tex]\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right][/tex]

column1 = column 3 - column2

where column 3 and column 2 are the basis of the orthogonal complement of the column space of the Matrix

Answer:

D, they eat so consumers.

Step-by-step explanation:

Answer: 54 people

Step-by-step explanation:

Given:

There are 135 people.

There are 3 facilities - Gym, Swimming Pool and Track.

Gym = 77

Swimming Pool = 62

Track = 65

Gym and pool = 27

Pool and track = 23

Gym and track = 31

All 3 facilities = 4

To FInd:

The number of people who use exactly one facilities.

Explanation:

Such question is easiest solved by using a Venn diagram. See attached.

Solution:

Find the number of people who goes to Gym and Swimming Pool only:

Gym and Swimming Pool only = 27 - 4

Gym and Swimming Pool only = 23

Find the number of people who goes to Swimming Pool and Track only:

Gym and Swimming Pool only = 23 - 4

Gym and Swimming Pool only = 19

Find the number of people who goes to Gym and Track only:

Gym and Swimming Pool only = 31 - 4

Gym and Swimming Pool only = 27

Find the number of people who goes to Gym only:

Gym only = 77 - 23 - 27 - 4

Gym only = 23

Find the number of people who goes to Swimming Pool only:

Swimming Pool only = 62 - 23 - 19 - 4

Swimming Pool only = 16

Find the number of people who goes to Track only:

Track only = 65 - 27 - 19 - 4

Track only = 15

Find the total number of people who goes to one facility only:

One Facility = 23 + 16 + 15

One Facility = 54

Answer: 54 people.

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

So we know that 20% goes into 100% 5 times.

700/5 will give you a clean 140, meaning 20% of the price is 140

Thus 700-140 and you get 560 dollars

If you have a calc you could also do 700 x .80 (since .80 is also equal to 80%) and get the same answer

Answer:764.11

Step-by-step explanation:

Answer:

8 / 15

Step-by-step explanation:

Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Required outcome :

Even numbers = (2, 4, 6, 8, 10, 12, 14) or 13

Total required outcomes = 8

Probability = required outcome / Total possible outcomes

P(even number or 13) = 8 / 15

Answer:

C. 336 cm²

Step-by-step explanation:

Area formulas:

Area of a right triangle: a × b ÷ 2 Area of rectangle: length × width

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

In this figure, there is a rectangle with a width of 12 and a height of 6.

[tex]12 *6 = 72[/tex]; the area of the rectangle is 72 cm².

There are two right triangles with legs of 6 and 8.

[tex]6 * 8 / 2 = 24.[/tex]

There are two right triangles so..

[tex]24 * 2 = 48.[/tex]

The area of a single triangle is 24 cm²; the area of the triangles combined is 48 cm.

There is a rectangle in the middle with a width of 8 and a height of 12.

[tex]12 * 8 = 96.[/tex]

The area of the rectangle is 96 cm².

Lastly, there is a rectangle with a width of 10 and a height of 12.

[tex]12 *10 = 120.[/tex]

The area of the rectangle is 120 cm².

Now, add the areas of every shape to find your answer.

[tex]72 + 24 + 24 + 96 + 120 = 336.[/tex]

Therefore, the surface area of this three-dimensional figure is 336 cm².

Answer:

its D. on an average day they will see about the same percentage of patients with types A and B.

Edit: There are two similar question here on brainly, but two different answer, D and B. so i'm not sure

Answer:

9

Step-by-step explanation:

2 + 7 - 14 flipped around =

14 - 7 + 2 =

7 + 2 =

9

Hope that helps! :)

-Aphrodite

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

4x+2x+6=90

6x=84

x=84/6=14

Answer:

3.66

Step-by-step explanation:

( 1.2 ) x 3.05 = 3.66

Answer:

well Liam is right that is the same statement

Answer:

D. Speed (74) = 72.2

Step-by-step explanation: