(SAT Prep) Find the value of x

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

The solution is  : the largest angle is 150°.

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

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If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

Answer:

Option a is the best method with compass and straight edge.

Step-by-step explanation:

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

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Can some one help me solve this x+3/2+3x/7 = 7

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Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]

Answer:

≈ 0.9 cm²

Step-by-step explanation:

I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.

F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.

Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,    

F(x,2)

(2-3) / (x-1) = -2/3            

2x-2 = 3       x = 2.5          

*F (2.5 , 2)

G (3,y)

(y-3) / (3-1) = -2/3     y = 5/3      

*G (3 , 5/3)

*point I (3 , 2)

segment FI = 3-2.5 = 0.5 = 1/2

segment GI = 2 - 5/3 = 1/3

area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083

area of polygon  DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²

Answer:

-20x^2-59x-43

Step-by-step explanation:

Since the two triangles are congruent, we can square the triangle's side to find 't'.

Therefore, t equals 25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

90.95

Step-by-step explanation:

Answer:

4xp-9

Step-by-step explanation:

Answer:

< greater than

Step-by-step explanation:

u need to turn each one into decimals than find out which ones greater that's how you'll get your answer

Answer: The answer would be D

Answer: A

It is a function and no x values repeat .  If the x values repeat more than then it's not a function.

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

[tex]\frac{60}{100} = \frac{x}{1280}[/tex]

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

[tex]\frac{40}{100} =\frac{x}{1280}[/tex]

100x=51,200

x=512 L

Based on the information given, the student should score at least 77 in the last exam.

Since the student wants to get an average of at least 80. Therefore, the total scores should be:

= 80 × 3 = 240

The student received scores of 85 and 78 on the first two exams. The addition of this will be:

= 85 + 78 = 163

Therefore, his score in the last exam should be:

= 240 - 163

= 77

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Answer:

y = 75x + 650

So I think it's linear.

Answer:

a=54.15 and b=14

Step-by-step explanation:

Answer:

x=120

Step-by-step explanation:

this is obtained by finding 22% of x, and equating it to the answer as shown below

x *22/100 = 26.4

22x/100 = 26.4

22x = 2640

x =120

Answer:

42 ice creams in a waffle cone

Step-by-step explanation:

First we try to find how many ice cream does Mr. Moore has:

4*15=60 ice cream

It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.

Answer: -29.9x+37.6

Step by step answer: Use PEMDAS rule

−3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Use the distrubitive property

-6.3x+20.16+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

-6.3x+20.96−5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Reorder/group x's and whole numbers

-6.3x-5.5x-6.3x-5.5x-6.3x+20.96+20.16-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92+1.6

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-3.52

-11.8x-6.3x-5.5x-6.3x+41.12-3.52

-18.1-5.5x-6.3x+41.12-3.52

-23.6x-6.3x+41.12-3.52

-29.9x+41.12-3.52

-29.9x+37.6

x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]

[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]

[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]

[tex]\mathrm{Combine\: like\: terms}[/tex]

[tex]x+8=5\left(2x+4\right)-3[/tex]

[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]

[tex]x+8=10x+17[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]x+8-8=10x+17-8[/tex]

[tex]x=10x+9[/tex]

[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-10x=10x+9-10x[/tex]

[tex]-9x=9[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]

[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]

[tex]\bold{x=-1}[/tex]

Answer:

Perimeter: 14 9/10 cm

Area: 11 7/10 cm^2

Step-by-step explanation:

First, you must find the perimeter of the rectangle. The definition of perimeter in terms of mathematics are: the continuous line forming the boundary of a closed geometric figure. To find the perimeter of any shape, you must add up all the sides. Thus:

2 1/4 + 2 1/4 + 5 1/5 + 5 1/5 = ?

To put it simpler -

2(2 1/4 + 5 1/5) =

4 5/10 + 10 4/10 =

14 9/10 cm

Then, you must find the area of the rectangle. The definition of the area are: the extent or measurement of a surface or piece of land. In other words, the amount of space an object takes up. You must multiply the length and width of the rectangle to find the area.

Formula of area:

A = L x W

A = 2 1/4 x 5 1/5

A = 9/4 x 26/5

A = 234/20

A= 11 7/10 cm^2

To sum it up, the perimeter of the rectangle is 14 9/10 cm and the area 11 7/10 cm^2.

Answer:

26.2

Step-by-step explanation:

Answer:

$3.16

Step-by-step explanation:

0.6+0.08n

Since n represents photocopies, then we replace n with 32.

0.6+0.08(32)

Now we multiply.

0.6+2.56

Finally, add.

0.6+2.56=3.16

So, Clayton will have to pay $3.16 to make 32 photocopies.

-hope it helps

The definition of a quadratic spline is that;

A Quadratic Spline is the creation of a set of polynomial functions that are quadratic and follow the format f(x) = ax² + bx + c.

A Quadratic Spline is simply defined as the creation of a set of polynomial functions that are quadratic, or relatively simple to comprehend and must follow the quadratic function format which is;

f(x) = ax² + bx + c

where;

a, b and c are the values gotten in the process of doing the Splines to create the desired functions.

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Answer:

2677 mi^2

Step-by-step explanation:

Think the shape as an complete rectangle :

The area of the rectangle is calcluated by multiplying height*width

(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:

12*29 = 348 mi^2 the area of the figure:

3025 - 348 = 2677 mi^2

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

The diameter of the cylinder, d = 10 inches

The height of the cylinder, h = 12 inches

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.

So, the length of the rectangle, l = 12 inches.

The breadth of the rectangle, b = 10 inches

The formula for the area of the rectangle is A= l × b

⇒ [tex]A=12[/tex] × [tex]10[/tex]

⇒ [tex]A=120[/tex]

Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

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The answer would be

A. True