What is the value of x in the equation 3x -
by = 18, when y = 272
5
7
45
63
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Answer:

Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS  Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

UR ≅ TS     CPCTC

Just draw a reverse angle,hence you get comparison.

So, satisfying S-S-S

RUS  ≅ SUT

RSU ≅ TUS

So, angle

URS = angle TUS

2. Pythagoras Theorem

Triangle RUS

A^2 + B^2 = C^2

Uu^2 + Ss^2 = Rr^2

√Rr = Rr^2 = x

Triangle TUS

A^2 + B^2 = C^2

Ss^2 + Uu^2 = Tt^2

√Tt = Tt^2 = x

UR measure / sin (60) x (90) = US measure.

ST measure / sin (60) x (90) = US measure.

Proves angles RSU = 30 degree

Proves angles  TUS = 30 degree

As all adjacent angles in a triangle add up to 180 degree.

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May

Answer:

7x-8x=23

-1x=23

x=-23

Step-by-step explanation:

7x - 8x = 23

-x = 23

x = -23

......

Answer:

Step-by-step explanation:

7,A=9*6sin30°

=54*0.5

A= 27

8,A=6*10sin60°

A= 60*0.86

A=52....... approximately

9, A=1/2bh

A=0.5*x*xroot 3

A=root3/2 x^2

You can find x using trigonometric values

Answer:

Number of  Real Solutions = 1

Number of  Extraneous Solutions = 1

Real Solutions = (x = 3)

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

Answer:

C) 0 ≤ x ≤ 25

Its correct! Hope this helps :)

Answer:

17.7 and 4.09

Step-by-step explanation:

Using the sine ratio in both right triangles

(49)

sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )

26 × sin43° = a, thus

a ≈ 17.7 ( to 1 dec. place )

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

(50)

sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )

6 × sin43° = a , thus

a ≈ 4.09 ( to 2 dec. places )

Answer:

-18p^5 - 30p^4 + 6p^3

Answer:

Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .

Step-by-step explanation:

Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.

Operations on polynomials can sometimes be open, like in division.

Operations on integers can produce irrational results , for example, dividing 11 by 9.

Answer:

x = 9

Step-by-step explanation:

Given

3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides

3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side

[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )

25x = 225 ( divide both sides by 25 )

x = 9

Answer:

the height is 54.99 ft or 659.84 in

Step-by-step explanation:

We know that the sides of similar triangles are proportional, so we can write:

2 ft / 6 ft 3 in = x / 171 ft 10 in

Now what we must do first and pass everything to the same unit of measurement:

Knowing that 1 foot equals 12 inches:

6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in

171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in

2 ft = 2 ft * 12 in / ft = 24 in

replacing:

24 in / 75 in = x / 2062 in

x = 24 * 2062/75

x = 659.84 in

Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft

That is, the height is 54.99 ft or 659.84 in

Answer:

4)

Step-by-step explanation:

When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).

Areas ratio is squared to ratio of their sides, so it is not 3).

Perimeter is sum of the sides. All  corresponding sides in similar triangles have the same ratio. So, answer is 4).

The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."

"It is the comparison of two quantities of the same kind."

For given question,

ΔABC is similar to ΔDEF.

⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]

We know, the perimeters of the similar triangles are in the same ratio as the sides.

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

The ratio of the length of AB to the length of DE is 2:1

[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]

Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

Learn more about similar triangles here:

https://brainly.com/question/25882965

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Answer:

168, a little of both

Step-by-step explanation:

Make 14 out of 50, 14/50 simplified its 7/25, multiply it by 600 and you get 168 its a little of both because half the info we were given its experimental since it is not theorized, what we're being given (the question) and what we gave is theorized since we didn't actually perform an experiment to get a real answer

Answer:

Step-by-step explanation:

A boat is carrying containers that weigh 1000 pounds each.

For the table

2 x 1000 = 2000

4 x 1000 = 4000

7 x 1000 = 7000

For the graph

2, 4, and 7 are given as your X  axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.

Answer:

$535.78

Step-by-step explanation:

First find out the annual earnings. So multiply 3.4% by 445

0.034 x 445 = 15.13

That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.

15.13 x 6 = 90.78

Now add that to the initial value.

90.78 + 445 = 535.78

That's the balance in the account after 6 years...

$535.78

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

The 4y and the -4y will always cancel each other out. This leaves us with

-12 = 14-2

or

-12 = 12

which is never true  

Answer:

x-3

Step-by-step explanation:

x²-6x+9 is equal to (x-3)²

The square root of any term that is positive is equal to the absolute value of the term. If x is greater or equal to 3, it makes the term positive.

So the root of x²-6x+9 is x-3  

Answer:

x ≥ 7

Step-by-step explanation:

2x -9 ≥  5

          +9

      x ≥  14

           14/2

             =7

        x ≥ 7

Answer:

Step-by-step explanation:

Since 20% is taken off, 100%-20% or 80% remains.

80% of $65 is 0.80�$65 or $52.  That's the price without tax.  

The tax on $52 is 0.06�$52 or $3.12,

$52 + $3.12 = $55.12

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]

Answer:

it is 3/y.

Step-by-step explanation:

the answer is 3/y because 3 comes before y in the question.

Answer:

The answers are :

The first number : 6

The second number : 2

The third number : 2

Step-by-step explanation:

The value of the variable x, y, and z will be 6, 2, and 2.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the numbers be x, y, and z.

The sum of three numbers is 10.

x + y + z = 10   …1

The first number minus the second plus the third is 6.

x – y + z = 6   …2

The first minus the third is 2 more than the second.

x – y = z + 2   …3

Add equation 1 and 3, we have

x + x + z = 10 + z + 2

         2x = 12

           x = 6

Subtract equation 2 from 1, we have

2y = 4

  y = 2

Then the value of z will be

6 + 2 + z = 10

            z = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

Acute isoceles

Step-by-step explanation:

Two base angles of the triangle are equal making it isosceles

The top angle is less than 90° making it an acute angle

Answer:

26.67m/s²

Step-by-step explanation:

From the question we are given

Final velocity = 30m/s = v

Initial velocity = 10m/s = u

We were not given time but we were given distance = 15m

Therefore we would be using the formula:

Acceleration = v² - u²/ 2s

Where S = distance

v = final velocity

u = initial velocity

Acceleration (a) = 30² - 10²/ 2 × 15

a = 900 - 100/ 30

a = 200/30

a = 26.666666667m/s²

a = 26.67m/s²

Answer:

1 hour

Step-by-step explanation:

mph means miles per hour so in 1 mile it would be 1 hour

Answer:

An expression that represents the amount of  money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]

Step-by-step explanation:

Jesse had $421.56 dollars in his checking account

Now he deposited g twenty-dollar bills

Now new amount =$421.56+20g

Now he deposited k quarters

1 quarter = 0.25

k quarters = 0.25k

So, Amount in the account = 421.56+20g+0.25k

Hence an expression that represents the amount of  money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]

Answer:

Both are equal in volume

b. c=4s

you multiply x times 4 to get y