9a. Which equation is set up correctly
to solve for x in the following
diagram?
7 + 18x
20.x - 5
1) 20x - 5+ 7 + 18x = 90
2) 20x - 5 + 7 + 18x = 180
3) 20 X - 5 = 7 + 18x
4) 20x - 5 + 7 + 18x = 360

Answer: [tex]x=\frac{3}{5}[/tex]

Step-by-step explanation:

Move all terms to one side.

[tex]25x^2+9-30x=0[/tex]

Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]

[tex](5x)^2-2(5x)(3)+3^2=0[/tex]

Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](5x-3)^2=0[/tex]

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

Answer:1256

Step-by-step explanation:

You need to find the area which is Area=3.14xradiusxradius

So in short hand A=3.14x20x20 which is 1256 feet

Answer:

-1, -1/2

Step-by-step explanation:

The solution is the intersecting point. The two lines intersect at (-1, -1/2)

Answer:

19.75. The apples cost 19.75 before the tax.

Step-by-step explanation:

0.97(x)=19.16

19.75

Answer:

x=11

Step-by-step explanation:

Start by distributing:

4-2(x-5)= x-19

4-2x+10= x-19

Add 19 and 2x to both sides (the -19 and -2x will turn into 0)

4+10+19= 2x+x

Add 4+10+19

33= 3x

Divide by 3

x=11

Answer:

The center is (-1,0) and the radius is 10

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2

where the center is (h,k) and the radius is r

(x+1)^2+y^2=100

(x - -1)^2+(y-0)^2=10^2

The center is (-1,0) and the radius is 10

Answer:

radius = 10

center = (- 1, 0)

Step-by-step explanation:

eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2

= (x + 1)^2 + y^2 = 100

(x - (-1))^2 + (y - 0)^2 =10^2

The center is (- 1, 0) and the radius is 10

Hope this helps!

Answer: i think its b

Step-by-step explanation:

Answer is B

Step-by-step explanation:

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

Answer:

The rent is the same when 2 months have passed.

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Step-by-step explanation:

Sara has two options, the resort complex and the uptown suites duplex, which can be represented by functions where "c" is the cost and "t" is the number of months Sara lives on each apartment.

The Resort complex:

[tex]c_{resort}(t) = 600 + 950*t[/tex]

The Uptown Suites Duplex:

[tex]c_{uptown}(t) = 300 + 1100*t[/tex]

To find the number of months she has to live in them in a way that they have the same cost, we need to find the value of t that makes both equations equal, this is done below:

[tex]600 + 950*t = 300 + 1100*t\\1100t - 950t = 600 - 300\\150t = 300\\t = \frac{300}{150} = 2\\[/tex]

The rent is the same when 2 months have passed.

If she intends to live in them for 6 months, the cost of each are:

[tex]c_{resort}(t) = 600 + 950*6 = 6300[/tex]

[tex]c_{uptown}(t) = 300 + 1100*6 = 6900[/tex]

If she'd live in them for 6 months, I'd recommend the resort complex, since it'd be cheaper.

Answer:

18 books per box

Step-by-step explanation:

This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.

Answer:

[tex]18[/tex] books per box.

Step-by-step explanation:

To figure out out many books are in each box, divide the total amount by how many boxes there are.

[tex]126/7=18[/tex]

There are 18 books in each box.

:)

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

Answer:

185.43 mm 2

Step-by-step explanation:

,.

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Answer:

hi there!

The correct answer is: 5

Step-by-step explanation:

The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

and since the two points given are: (2,1) and (5,5)

you plug in the points and you get: 5

[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]

[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]

[tex]\sqrt{9+16}[/tex]

[tex]\sqrt{25 } = 5[/tex]

Answer:

The correct answer is five

Step-by-step explanation:

The slope is 4/3 and since  the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples

Answer:

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Step-by-step explanation:

Let the total no. of adults who saw the move be x

Let the total no. of child who saw the move be y

Given that the total number of adults (a) and children (c) who saw a movie was 35

thus. x + y = 35

cost of ticket for 1 adult = $6

cost of ticket for 1*x  adult = $6*x = $6x

cost of ticket for x  adult = $6x

cost of ticket for 1 child = $1

cost of ticket for 1*y  child = $1*y = $y

cost of ticket for y  child =  $y

Total cost for  x adult and y child = $(6x+y)   _______(2)

Given that he total money collected was $70

Thus, we have two equations

6x+y = 70  -------(1)

x + y = 35

y = 35 - x  (using this value of y in equation 1 we have)

6x + 35 - x = 70

=> 5x = 70 -35 = 35

=> x = 35/5 = 7

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Answer:

The answer would be B. 8 to 20

Step-by-step explanation:

You use 2 tablets per 5 days and there are 20 days 5/20=4 4 times you need to add tablets 4 times 2 is 8 which would make the ratio 8 to 20. Hope this helped. :)

Answer:

B

Step-by-step explanation:

Works on edge 2021

Answer:  ∠S corresponds to ∠V.

The solution is Option B.

The measure of angle ∠S corresponds to ∠V

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the first triangle be ΔQSR

Let the second triangle be ΔTUV

Now , the measure of ∠Q = 98°

The measure of ∠R = 37.6°

The measure of ∠U = 98°

The measure of ∠V = 37.6°

So , the measure of the third side of the triangles is

The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )

The measure of ∠S = measure of ∠T = 44.4°

And , ∆QRS ~ ∆TVU based on the angle-angle criterion

So , ∠Q ≅ ∠T based on the third angle theorem

And , ∆RQS ~ ∆VTU based on the angle-angle criterion

Hence , the false statement is ∠S corresponds to ∠V.

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

Answer:

y=1 and x= .5

Step-by-step explanation:

distribute

the x has to be solved

they when got the answer

input the answer you got for x into the y and subtract and divide

the answer is one for x

Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

Answer:

60 degrees

Step-by-step explanation:

A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360

75+75+150+x =360

Combine like terms

300 +x = 360

Subtract 300 from each side

300+x-300= 360-300

x = 60

Answer:

Brainleist is to be given to me!

Step-by-step explanation:

-2/3

its between -1 and 0 but is closer to -1

the only choises are -1/3 and -2/3 but its closer to -1 so it must be -2/3

Answer:

-2

Step-by-step explanation:

There’s a decrease over 7hrs 7•-2= -14

12-14=-2

Answer:

-2

Step-by-step explanation:

Answer:

39.59

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480

Answer:

A and D

Step-by-step explanation:

576 ^ 1/2 = + or - 24

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:

E. CI = 102.79

Answer:

(0,1) should be the anwser your looking for

Answer:

22.22 feet

Step-by-step explanation:

The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.

The piece of wood is 23 feet long and it is the hypotenuse.

The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.

Using trigonometric function SOHCAHTOA:

sin(75) = x/23

=> x = 23 * sin(75)

x = 22.22 feet

The wood is 22.22 feet far from the base of the wall.