If PQR = STU, find the measure of each part.
R
8 m
59°
P
7 m
g
75
T
U

Hello!

[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]

-3(x - 14) + 9x = 6x + 42

Distribute the coefficient of the parenthesis:

-3(x) - 3(-14) + 9x = 6x + 42

-3x + 42 + 9x = 6x + 42

Combine like terms:

6x + 42 = 6x + 42

Both sides of the equation are the same, therefore:

There are infinitely many solutions.

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For solving such problems we need to recall equations .

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When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

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➠ - 3 ( x - 14 ) + 9x = 6x + 42

➠ -3x + 42 + 9x = 6x + 42

Now, we will bring the variable on left hand side and constants on right hand side

➠ -3x + 9x - 6x = 42 - 42

➠ -9x + 9x = 42 - 42

➠ 0 = 42 - 42

➠ 0 = 0

As we can see the equation have end with a zero the equation have indefinitely many solutions

➠ Indefinity many solutions

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Answer:

x ≤ 13

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

1. 9.8 cm

2. 44.5 cm^2

Step-by-step explanation:

1. To find the length of arc AB, we use the formula for the length of an arc

Mathematically, that will be;

theta/360 * 2 * pi * r

theta is the central angle which is 51

r is the radius which is 10 cm

So we have

51/360 * 2 * 22/7 * 10 = 8.9 cm

2. The area of the sector

we use the formula for the area of a sector here,

That is;

theta/360 * pi * r^2

51/360 * 22/7 * 10 * 10

= 44.5 cm^2

Answer:

88%.

Step-by-step explanation:

To calculate percentage: (198 × 100) ÷ 225

This equals 19800 ÷ 225, which is 88%.

Answer:

88%

Step-by-step explanation:

198/225

=0•88

0•88×100

=88%

Answer:the forth answer is correct

Step-by-step explanation:

Answer:

Concept: Mathematical Analysis

Answer:

A) 6

Step-by-step explanation:

The angle 12x is the same angle as the one below 108 degrees. They are supplementary angles so they add up to 180 degrees. 180-108 = 72, 12x = 72 divide each side by 12, x = 6 :)

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

[tex]3x^3+21x^2+36x=0[/tex]

Taking 3x common.

[tex]3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0[/tex]

x = 3

[tex]x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3[/tex]

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

Answer:

k=9

HOPE THIS IS CORRECT!

Answer:

k =9

Step-by-step explanation:

I'm just built different

Answer:

it is the third option

Step-by-step explanation:

you would subtract the 6.4 to the other side of the equation and then you would divide it by -1.1 and you would get 7

Answer:

He will earn $51 more

Step-by-step explanation:

Let us compare the amounts he will earn in both banks

Mathematically, simple interest is;

I = PRT/100

Where P represents principal, R represents rate and T represents time

For Citibank, we have

I = (500 * 4.75 * 12)/100 = $285

For National bank

I = (500 * 3.9 * 12)/100 = 234

The difference between the amount of money earned in both banks will be;

285-234 = 51

Answer:

your mom

i dunno what else to put here lol

Answer:

Total area of four walls is 450ft

Step-by-step explanation:

First to find area of one wall is lenghth times height 2(12 x 9)

Second to find the area of the two other walls it’s height times width 2(13 x 9)

third add then up and you get 450

Answer:

|| slope= 1/3

⊥ slope=-3

Step-by-step explanation:

The line is y=1/3x+5

Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)

That means that the || slope will be 1/3.

Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)

Which means to solve for the slope perpendicular, use this equation

1/3m=-1

multiply by 3 on both sides

m=-3

So that means the ⊥ slope will be -3.

hope this helps!

Answer:

[tex]\frac{1}{3}[/tex] and - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Parallel lines have equal slopes, thus

[tex]m_{parallel}[/tex] = [tex]\frac{1}{3}[/tex]

Give a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3

Answer:

Step-by-step explanation:

Let x be the number of tiles to buy for same cost in both store.

18+0.69 · n = 1.29 · n,

1.29n -0.69n =18 or

0.6n =18

n =18/0.6=30

Therefore, 30 tiles need to buy for same cost in both store.[Ans]

Answer:

I think you need to cross multiply

Answer:

x = 45

Step-by-step explanation:

Find the missing angle first, a line is 180 degrees and for the missing angle there's a line cutting it. The outer angle is 170 so the inner angle is 10.

A triangle equals 180 degrees so:

125 + 10 + x = 180

135 + x = 180

subtract 135 from both sides

x = 45

Answer:

its 1,0

Step-by-step explanation:

because im 4o3 iq trust me

We want to solve the given system of equations graphically

The estimated solution that we will get is (0, -2)

The given system of equations is:

y = 2x - 2

y = -35x + 1

To solve it graphically, we need to graph both lines on the same coordinate axis, and see where the lines intersect.

The graph can be seen below, there we can see that the lines intersect near the point (0, -2)

Note that this does not coincide with any of the given solutions, which means that one of the two lines must be written incorrectly.

If you want to learn more, you can read:

https://brainly.com/question/17641264

Answer:

this system has no solutions

Answer:

5.1y-3.3

Explination: none

Answer:

5.1y-3.3

Step-by-step explanation:

I am sorry if its wrong

your answer is:

6x - 11y = -13

~☆

Answer:

5,10,15,20,25

Step-by-step explanation:

I believe this is correct because, If you find number 1 on the x axis and find 5 on the y axis, they meet up so therefore 1 shirt cost 5 dollars and so on.

Answer:

3 2/3

Step-by-step explanation:

In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:

2 2/9 +1 4/9

3 6/9

simplify

3 2/3

Answer:

y = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

y = mx + b (m is the slope and b is the y-intercept)

Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex]   Given points: (-6, -5) (-4, -4)

[tex]\frac{-5+4}{-6+4}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

y = [tex]\frac{1}{2}[/tex]x + b

The y-intercept is -2

y = [tex]\frac{1}{2}[/tex]x - 2

Answer:

It is (0,6)

Step-by-step explanation:

Find the x intercept, substitute 0 for y and slove for x

find the y intercept, substitue 0 for x and solve for y

the answer is c (0,6)

Answer:

x = 8

Step-by-step explanation:

Let there are x friends.

The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.

Total cost = $83.30

We need to solve for x. The equation for the scenario is given by :

$2.50x + $4.85x + $24.50 = $83.30

Taking like terms together

$2.50x + $4.85x = $83.30-$24.50

7.35 x = 58.8

x = 8

So, there are 8 friends.

The graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function f and a function g(x) is:

[tex]\rm g(x) = (2)2^x[/tex]

If draw a graph of g(x) on the coordinate plane, it will be a exponential function.

For y intercept of g(x):

x = 0,

y = 2

But graph of a function f and graph of a function g(x) has same end behavior.

Thus, the graph of the function f and graph of the function g(x) have the different y-intercept but have the same end behavior option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

A

Step-by-step explanation:

Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs

Answer:

It’s B

Step-by-step explanation:

just answered question

Answer:

No

No

Yes

Step-by-step explanation:

-1/4 is the only correct solution to the equation represented by the graph.