Which of the following theorems verifies that AABC - ASTU?
A. AA
B. HL
C. HA
D. LL

Which Of The Following Theorems Verifies That AABC - ASTU?A. AAB. HLC. HAD. LL

Answers

Answer 1

Answer:

AA

Step-by-step explanation:

See In Triangle ABC and Triangle STU

[tex]\because\begin{cases}\sf \angle A=\angle S=90° \\ \sf \angle B=\angle T=31°\end{cases}[/tex]

Hence

[tex]\sf \Delta ABC~\Delta STU(Angle-Angle)[/tex]

Answer 2

By AA similarity  triangle ABC is similar to triangle SUT. Therefore, option A is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

In the given triangle ABC, ∠C=180°-90°-31°

∠C=59°

In the given triangle SUT, ∠U=180°-90°-31°

∠U=59°

Here, ∠B=∠T (Given)

∠C=∠U (Obtained using angle sum property of a triangle)

So, by AA similarity ΔABC is similar to ΔSUT.

Therefore, option A is the correct answer.

To learn more about the similar triangles visit:

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Related Questions

eastern Aviation equipment pays bob Coleman a $1310 monthly salary plus a 12% commission on merchandise he sells each month. assume Bob's sales were $76,200 for the last month amount of commission: gross pay:​

Answers

Answer:

12/100 *76200 =$9144

so gross pay = $1310 +$9144 =$10454

Factor the trinomial below.
x² - 2x - 48
O A. (x - 12)(x + 4)
B. (x + 6)(x-8)
O C. (x+12)(x - 4)
O D. (x-6)(x+8)

Answers

Answer:

B

Step-by-step explanation:

yes, we need two numbers that multiplied with each other results in -48.

that means already that one of them has to be positive and the other negative.

that gives us (with all +/- alternating sign combinations)

2 and 24

3 and 16

4 and 12

6 and 8

to pick from there we see that the "middle" term is -2x.

that means that the absolute value of the negative number has to be 2 more than the positive number (so that when adding the intermediate multiplication terms we end up with -2x).

the only choice is therefore 6 and -8.

and that makes B the right answer.

please help this is due right now

Answers

Answer:

108.82

Step-by-step explanation:

Help please I need answers for these questions

Answers

I think because the angles are corresponding/opposite to each other u equate them to 180°

Principal=2000,R=12percent,Time=2years and 6 months.​

Answers

Principal=P=2000Rate of interest=12%Time=2years and 6months=2.5years Interest=I

[tex]\boxed{\sf I=\dfrac{PRT}{100}}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{2000(12)(2.5)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{24000(2.5)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{60000}{100}[/tex]

[tex]\\ \sf\longmapsto I=600[/tex]

Given

Principal (P) = 2000Rate of interest (R) = 12%Time (T) = 2 years 6 months

To Find

Simple Interest

Formula Using

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{S.I \: = \: \frac{P × R × T}{100} }}}}}\end{gathered} [/tex]

Basic Terms

Simple Interest - Simple interest is the method of calculating interest charged on the amount invested in a fixed deposit.

Principle - The principal is the amount due on any debt before interest, or the amount invested before returns.

Rate - An interest rate is the percentage of principal charged by the lender for the use of its money.

Time = Time is duration (in months or years) in Simple Interest.

Solution

As we know that , first we need to convert 2 years 6 months into years.

[tex] \sf \ \implies \: 1 \: \: year \: = \: 12 \: \: months[/tex]

[tex] \sf \implies \: 2 \: \: years \: \: and \: \: 6 \: \: months \: = \: 30 \: \:months[/tex]

[tex] \sf \implies \: \:\frac{ \cancel{30} \: \: ^{2.5 \: \: years} }{ \cancel{12 \: }} \\ [/tex]

[tex]\bf{\blue{ Time \: = \: 2.5 \: \: years}}[/tex]

Now , we have to find the Simple interest.

[tex]\Large\rm{\orange{ \begin{cases} \large\begin{gathered} {\underline{\boxed{ \rm {\purple{S.I \: = \: \frac{P × R × T}{100} }}}}}\end{gathered} \end{cases}}}[/tex]

Substuting the values

[tex] \tt \large \longrightarrow \: \: S.I \: = \: \frac{2000 \: × \: 12 × \: 2.5}{100} \\ [/tex]

[tex] \tt \large \longrightarrow \: \: S.I \: = \frac{60000}{100} \\ [/tex]

[tex]\tt \large \longrightarrow \: \: S.I \: = \frac{600 \cancel0 \cancel0}{1 \cancel0 \cancel0} \\ [/tex]

[tex]\tt \large \longrightarrow \: \: S.I \: = \: 600[/tex]

[tex]\large \underbrace{\textrm {{{\color{navy}{Simple Interest \: = \: 600}}}}}[/tex]

How to make my answer for 0.70 a fraction

Answers

Answer:

0.70 = 7/10

Step-by-step explanation:

Answer:

70/100 or 7/10 (Simplified)

Step-by-step explanation:

0.70 is basically .70 of 1. You can wrote this as a fraction, 70/100. If you divide 70 by 100, it gives you .70.

If you want to simplify it, it becomes 7/10, and if you divide 7 by 10, it also gives you 0.70.

Depends if you want your fraction simplified or not.

have a great day.

Factorise:
(5 − )(3 − ) − (2 − )(3 − )

Answers

Answer:

15- 6 =9

Step-by-step explanation:

- ×- =+ now above the question .we can say that _ 5×_ 3=15 .similarly _ 2×_ 3 = 6 now,

15 _6 =9

Help please! it’s due soon

Answers

Answer:

33. That means (A) can be any number and b times any number wilo get 0 so any numbr will do

34.It is wrong because if x equals 40 anything multiply that will be more than that and so isnt a good reasoning

Tom bought 750 shares of a company’s stock for $11.06/share. He pays a broker a commission of $12 to buy and sell stock. After one year, Tom sold all his shares, when they were worth $10.24/share. How much did it cost Tom to buy the stock? Show your work. What was Tom’s net gain or loss? Show your work. What was Tom’s annual rate of return? Show your work.

Answers

Answer:

Answer:

-7.692%

Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share* # of shares ) ;

Total cost= 12 + (11.06*750)= 12+8295 = $8,307

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =10.24 * 750= 7,680

deduct commission= 7680-12= $7,668

Gain or loss= sale-cost = 7668-8307 = -$639, meaning there is a loss.

c.) Annual rate of return= (net gain or loss/amount paid)*100%

return= -639/(8307)*100 = -7.692%

Step-by-step explanation:

I'm 2003, the population of an African country was about 11.2 million people, which is 2 million more than 4 times the population in 1950. Enter and solve the equation to find the approximate population p (in millions) in 1950.

Equation:
Approximate population in 1950:

Answers

Answer: The population was 2,300,000.

Step-by-step explanation:

Let the population in 1950 be x

11,200,000 = 2,000,000+4x

11,200,000-2,000,000 = 4x

0r, 9,200,000=4x

0r, x = 9,200,000/4

so, x = 2,300,000

¿Cuál es la probabilidad de encontrar una persona que gane 6000 si en la empresa en donde trabaja el sueldo medio es de 3500 con una desviación de 1500?

Answers

Answer:

Question in English please I don't understand your language.

Please help with questions 1-4.

Answers

Observe the quantities, ie. see what happens if you increase one or decrease the other.

To simplify imagination, expose one quantity. I will expose y.

1.

[tex]-\frac{y}{4}=2x\implies y=-8x[/tex]

So what is their variation or proportion? If I increase x then y is getting more and more negative. So is this direct or inverse or nothing? It is direct.

2.

[tex]14x=\frac{14}{y}\implies y=x, y\neq0[/tex] again if I increase x then y will match, will also increase. This is again direct.

3.

[tex]y=\frac{13}{x}, x\neq0[/tex] this time if I increase x, y will get smaller. When x is exactly 13, y will be 1 and when x is 10000, y will be 0.0013. This is inverse. One quantity gets really small when other quantity gets really big.

4.

[tex]y=x-2[/tex] if I increase x then y will also increase even though by slightly less (-2) it will still increase. However since there is no multiplication this is not a direct variation nor is it inverse. It is nothing/no-variation.

Hope this helps :)

What is the domain of the function shown on the graph?

Answers

9514 1404 393

Answer:

  all real numbers

Step-by-step explanation:

The arrows on the ends of the curve indicate that the graph extends to infinity horizontally. The domain is the horizontal extent, so is all real numbers.

__

Additional comment

Apparently, y=-7 is a horizontal asymptote, so the range is y > -7.

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing quadratically? x f(x) g(x) 1 3 3 2 6 9 3 11 27 4 18 81 5 27 243 f(x), because it grows faster than g(x) g(x), because it will not intersect f(x) g(x), because it grows slower than f(x) f(x), because it grows slower than g(x)

Answers

Answer:

D

Step-by-step explanation:

Exponential functions always will end up being bigger than quadratic functions and since g(x) is probably the exponential it makes f(x) the quadratic because it is growing slower than the function g(x)

The function g(x) increases faster than the function f(x). Then the correct option is D.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The table below shows the values of f(x) and g(x) for different values of x.

One of the functions is a quadratic function, and the other is an exponential function.

The quadratic function f(x) will be

f(x) = ax² + bx + c

At x = 1, f(x) will be 3

a + b + c = 3 ...1

At x = 2, f(x) will be 6

4a + 2b + c = 6 ...2

At x = 3, f(x) will be 11

9a + 3b + c = 11 ...3

On solving equations 1, 2, and 3, we have

a = 1, b = 0, and c = 2

Then the quadratic function will be

f(x) = x² + 2

The exponential function g(x) will be given as

g(x) = abˣ

At x = 1, g(x) will be 3

ab = 3 ...4

At x = 2, g(x) will be 9

ab² = 9 ...5

From equations 4 and 5, we have

a = 1 and b = 3

Then the exponential function will be

[tex]\rm g(x) = 3^x[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

After running 3/4 of a mile tess has only run 1/3 how long is the race in miles but I want to know how you did it

Answers

Take 3/4 and 1/3 multiply the bottom, thats your denominator. Then since you multiplied 4•3, multiply the top by three.

(a) A square has a perimeter of 56cm. What is the length of each side? (b) A square has an area of 62cm. What is the length of each side?

Answers

Answer:

A) 14

B) 7.874

Step-by-step explanation:

perimeter is all 4 sides add

area is l*w

56/4

√62

what is the area of the parallelogram?

Answers

It’s 45, as the equation for a parallelogram is A= bxh, and 9x5 is 45
The area of parallelogram is base multiply height =b*h

Twice the difference of a number and 9 equals 5.

Answers

Answer:

7

Step-by-step explanation:

if the number is x then you know 2x-9=5

2x=14

x=7

so the number is 7

The hypotenuse of a right triangle measures 14 cm and one of its legs measures 1 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

b=14 cm

Step-by-step explanation:

Use pythagorean equation

A^2+b^2=c^2

1^2+b^2=14^2

1+b^2=196

b^2=195

b=13.964

Select all the correct answers.
is transformed to get function h.
The function ()
h(x) = (2x)} +
+ 5
Which statements are true about function h?
As x approaches -oo, h(x) approaches -o0.
The y-intercept is (0,5).
The domain of function his (-0, 00).
The x-intercept is (5,0).
As x approaches oo, h(x) approaches oo.
The range of function h is (5, 0o).

Answers

The true statements about the function include:

As x approaches -oo, h(x) approaches -o0.The y-intercept is (0,5).The domain of function his (-0, 00).As x approaches oo, h(x) approaches oo.

What is a function?

It should be noted that a function is simply used to illustrate the relationship between variables.

In this case, the given function is f(x) = x^1/3.

The intercept is (0, 5). Also, it can be deduced that as x approaches oo, h(x) approaches infinity.

Learn more about functions on:

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trigonometric identities

Answers

1/tan x = cot x

Cot x + tan x = 1/ sin x cos x

The answer is D.

The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows:

Answers

yes I will send you a check tomorrow morning if I have a time for it tomorrow and if you need any more info let us or you get lost and I


Amira starts an exercise programme on the 3rd of March. She decides she will swim every
3 days and cycle every 4 days. On which dates in March will she swim and cycle on the
same day?

Answers

Answer:

12 days

Step-by-step explanation:

The answer of the problem is the LCM of 3 and 4=12. Hence the answer is 12 days

On 12 March she will swim and cycle on the same day if Amira starts an exercise program on the 3rd of March.

What is LCM?

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

We have:

Amira starts an exercise program on the 3rd of March.

She will swim every 3 days and cycle every 4 days.

Total days =3 + 4 = 7 days = 1 week

The day she swims and cycles on the same day = LCM of 3 and 4

= 3, 6, 9, 12, 15

= 4, 8, 12, 16

= 12

Thus, on 12 March she will swim and cycle on the same day if Amira starts an exercise program on the 3rd of March.

Learn more about the LCM here:

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Tại Trường Tiểu học ABC, số học sinh của Khối lớp 1, Khối lớp 2, Khối lớp 3, Khối lớp 4 và Khối lớp 5 chiếm tỉ lệ lần lượt là 28%; 22%; 20%; 16% và 14% tổng số học sinh toàn trường. Trong mỗi Khối, tỉ lệ học sinh giỏi năm nay của Khối lớp 1 là 45%, Khối lớp 2 là 50%, Khối lớp 3 là 55%, Khối lớp 4 là 65% và Khối lớp 5 là 75%. Xét trong Khối lớp 1, tỉ lệ học sinh giỏi của Khối lớp 1 là bao nhiêu?

Answers

Answer:

hello bro

Step-by-step explanation:

can you translate it on english so i can help you

If the areas of the given pairs of shapes are equal, find the value of x.​

Answers

Answer:

X= 8cm

Step-by-step explanation:

area of the square = s×s = 16×16 = 256cm

area of the rectangle = l×b = 32×x = 32x

Given , area of triangle = area of square

32x = 256

x= 256/32

x= 8cm

Answer:

[tex]x = 8cm[/tex]

Step-by-step explanation:

we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e

the area of the square equal to the area of the rectangle

therefore,

[tex] \displaystyle \rm A _{square } = A _{rect}[/tex]

recall the formula of the area of square and rectangle so,

[tex] \displaystyle {s}^{2} = lw[/tex]

now assign variables

[tex]s \implies16cm[/tex][tex]l \implies32cm[/tex][tex]w \implies x[/tex]

thus substitute:

[tex] \displaystyle 32cmx = {16cm}^{2} [/tex]

simplify square:

[tex] \displaystyle 32cmx = 256cm^2[/tex]

divide both sides by 32:

[tex] \displaystyle \boxed{x = 8cm}[/tex]

and we're done!

The place value of 7 in 87534 is____________​

Answers

Place value of 7 is Thousand (1000)
the value place of 7 is thousand

I Miss math
What 2/3 ×5/7. = What

Answers

Step-by-step explanation:

heres the answer to your

Fourteen boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.

Answers

The greatest common denominator for 14 and 21 is 7. (14 / 7 = 2 21 / 7 = 3). So, if you had groups of 7 you would have 2 groups of boys and 3 groups of girls which gives you a total of 5 groups.

I’m confused of how to do this

Answers

Answer:

y≤0

Step-by-step explanation:

The line is 0 for all x so y must be the one being manipulated

Because the line is solid and shaded on the negative side, y must be less than or equal to 0

Amit makes a cuboid having sides 3cm, 2cm & 3cm. How many such cuboids will be required to form a cube.​

Answers

Start with a volume of a cuboid,

[tex]V=abc=3\cdot2\cdot3=18\mathrm{cm^3}[/tex]

The side of the cube we need equals to the LCM of the cubiod's sides,

[tex]\mathrm{LCM}(a,b,c)=\mathrm{LCM}(3,2,3)=6[/tex]

Now compute the volume of such cube,

[tex]V=\mathrm{LCM}(a,b,c)^3=6^3=216\mathrm{cm^3}[/tex]

Divide the volumes to get how many cubiods are in such cube,

[tex]\dfrac{V_{\mathrm{cube}}}{V_{\mathrm{cubiod}}}=\dfrac{216}{18}=\boxed{12}[/tex]

Hope this helps :)

Answer:

Hi,

Answer: 12

Step-by-step explanation:

lcm(3,2,3)=6

Volume of a cuboid=3*2*3=18 (cm³)

Volume of the cube=6³=216 (cm³)

Number of cuboids=216/18=12.

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