tell whether each figure is a polygon. if it is a polygon, name it by the number of each sides.

Hello!

[tex]\large\boxed{x = 6}[/tex]

The figure pictured contains two congruent triangles (ASA), so we can assume that:

JK ≅ JM

Therefore:

2x - 4 = 4x - 16

Subtract 2x from both sides:

2x - 2x - 4 = 4x - 2x - 16

-4 = 2x - 16

Add 16 to both sides:

-4 + 16 = 2x - 16 + 16

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

x = 6.

Answer:

B. you need atleast one variable for an algebraic expression.

an equals sign would make it an algebraic equation,

just a coefficient and a variable is the most basic algebraic expression. you don't need anything other than those for an expression. you can have more than one number, and more than one operation, but they don't have to be there.

Step-by-step explanation:

i hope this helps :))

Answer:

m∠A = 115°

m∠C = 50°

Step-by-step explanation:

By triangle sum theorem,

Sum of measures of all interior angles of a triangles equals to 180°.

m∠A + m∠B + m∠C = 180°

By substituting the values of the angles from the given table,

(4x - 13) + 15 + (x + 18) = 180

(4x + x) + (-13 + 15 + 18) = 180

5x + 20 = 180

5x = 180 - 20

x = [tex]\frac{160}{5}[/tex]

x = 32

m∠A = (4x - 13)° = 4(32) - 13

                          = 115°

m∠C = (x + 18)° = 32 + 18

                         = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:

(4 · x - 13) + 15 + (x + 18) = 180

5 · x + 20 = 180

5 · x = 160

x = 32

Finally, the measure of the angles A and C from the triangle ABC are, respectively:

m ∠ A = 4 · 32 - 13 = 115°

m ∠ C = 32 + 18 = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5

Answer:

6.15

Step-by-step explanation:

Answer:

44 words

Step-by-step explanation:

Step one:

given data

The dimension is

7cm long and = 0.07mm

5mm in diameter

radius= 2.5mm

The volume = πr^2h

Volume= 3.142*2.5^2*0.07

Volume= 3.142*6.25*0.07

volume= 1.4 mm^3

If 1.4 mm^3 will write 310 words on an average

1/5(0.2mm^3) liter will write x

cross multiply we have

x= 0.2*310/1.4

x=62/1.4

x=44 words

Answer:

Step-by-step explanation:

the slope would be y2-y1/x2-x1

so the distance is y and the time is x so what you are going to do is 30-18 over 5-3 which then means it would be 12/2 which equals 6

9514 1404 393

Answer:

  v(t) = 30000×0.82^t . . . value in dollars after t years

  v(10) ≈ 4123 . . . . dollars

Step-by-step explanation:

The general form of the decay model is ...

  f(t) = f(0)×(1 -decay rate)^time

where the decay rate is a fraction between 0 and 1, and the time is expressed in the same time units as the decay rate. The multiplier f(0) is the initial value that is decaying.

In this problem, the initial value is $30,000 and the decay rate is 18% per year. So, we can write a function v(t), where v is the car's value in dollars, and t is the number of years after it starts depreciating.

  v(t) = 30,000×(1 -0.18)^t

  v(t) = 30,000×0.82^t

__

The car's value in 10 years is ...

  v(t) = 30,000×0.82^10 ≈ 4123.44

The value of the car after 10 years is about $4,123.

Answer:

x = -3 2/3

Step-by-step explanation:

Given the simultaneous equations;

3 x + 7 y = 31 ..... 1

-3x - 2y = -1 ..... 2

Add both expressions

7y - 2y = 31-1

5y = 30

y = 30/5

y = 6

Substitute y = 6 into equation 2

From 2;

-3x - 2y = -1

-3x - 2(6) = -1

-3x - 12 = -1

-3x  = -1  + 12

-3x  = 11

x = -11/3

x = -3 2/3

Hence the value of x is -3 2/3

Answer:

x = -3 2/3

Step-by-step explanation:

Answer:

Given,

Length and breadth of the rectangle are (x) and (x+10)

Area of the rectangle ( A ) = 144[tex]m^{2}[/tex]

We know ,

Area of rectangle ( A ) = L*B

                        or , 144 = x ( x+10 )

                        or , 144 = [tex]x^{2}[/tex] + 10x

                        or , [tex]x^{2}[/tex] + 10x - 144 = 0

Solving the equation , we get ,

x = 8 and -18

The side has to be positive so ,

x = 8 m , which is the shortest side !

Step-by-step explanation: We were given the area of the rectangle and length & breadth in expression . By using the formula of area of rectangle , we got the equation which then gave 8 and -18 as answers when solved and since the rectangle had positive sides 8 m was the correct value . Also its the shortest side and the other side is simply ( 8 + 10 ) which is 18 m but the question has only asked for the shortest side !

Answer:

Step-by-step explanation:

Interpret the remainder to solve. 1. Hakeem has 100 tomato plants. He wants to plant them in rows of 8. How many full rows will he have? Think: 100 ÷ 8 is 12 with a remainder of 4. The question asks “how many full rows,” so use only the quotient. 2. A teacher has 27 students in her class. She asks the students to form as many groups of 4 ...

Answer:

52

Step-by-step explanation:

The two sides (GJ and GK) are congruent, and the angle of ∠GHJ is 90°.

It means JH ≅ HK.

JH = 26 so you multiply 2.

26 x 2 = 52

JK = 52

The measure of the side JK is 52 units if the GJ=70.2, JH=26, and GK=70.2 after applying the Pythagoras theorem.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

GJ=70.2, JH=26, and GK=70.2,

In the right angle triangle JHG:

GH = √(GJ² - JH²)

GH = √(70.2² - 26²)

GH = 65.20

Similarly, applying Pythagoras' theorem in the triangle GHK:

HK = √(GK² - GH²)

HK = √(70.2² - 65.20²)

HK = 26.01

JK = JH + HK

JK = 26 + 26.01

JK = 52.01 = 52

Thus, the measure of the side JK is 52 units if the GJ=70.2, JH=26, and GK=70.2 after applying the Pythagoras theorem.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ2

Answer:

x=32 I used Jedi powers

Step-by-step explanation:

X+120+130+140+x-4+x+58=360(sum of quadrilateral is 360)

3x+250+140-4+58=360

3x+48-4=360

3x+444=360

3x=360-444

3x=-84

x=-85/3

x=-28

x-4

-28-4

-32

x+58

-28+58

30

It is correct answer

Answer:

[tex]9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}[/tex]

Step-by-step explanation:

A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:

[tex]2x+2(4x-8)=78[/tex], where [tex]x[/tex] is the length of the shorter sides.

Solving, we get:

[tex]2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}[/tex].

Plugging in [tex]x=9.4[/tex] into [tex]4x-8[/tex], we get:

[tex]4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}[/tex].

Therefore, two sides have length [tex]9.4\:\mathrm{cm}[/tex] and two sides have length [tex]29.6\:\mathrm{cm}[/tex].

Answer:

-2 3/4, -1 3/4, -3/5

Step-by-step explanation:

Answer:

she was left with 28$ I'm in high school i think I'm right

Step-by-step explanation:

The answer is Yes, ΔIHJ ≅ ΔIKJ by SSS.

Answer:

Step-by-step explanation:

D)

Yes, ΔIHJ ≅ ΔIKJ by SSS.

Just did this quiz got that one right.

Answer: 4,12

Step-by-step explanation:

Bowl-O-Rama:

y = 2 + 2.50x

Bowling Pinz:

y = 4 + 2x

When you graph this, the solution is (4, 12). This represents that when you play 4 games for either company, both the prices will be the same, $12.

Answer:

$18.00

Step-by-step explanation:

Bowl-O-Rama: $4.50 times 4

Bowling Pinz: $6.00 times 3

Answer:

The radius, in inches, of the base of the cone will be:

r = 6 inches

Hence, option B is correct.

Step-by-step explanation:

Given

The Volume of a right circular cone V = 24 π cubic inches

The height of the cone h = 2 inches

To determine

The radius of the base of the cone r = ?

Using the formula involving Volume m, height h, and radius r of a right circular cone.

[tex]V\:=\frac{1}{3}h\:\pi \:\:r^2\:[/tex]

substituting V = 24 π, h = 2 to find the radius r

[tex]\left(24\pi \right)=\frac{1}{3}\left(2\right)\:\pi \:r^2[/tex]

switch sides

[tex]\frac{1}{3}\left(2\right)\pi r^2=\left(24\pi \right)[/tex]

[tex]\frac{1}{3}2\pi r^2=24\pi[/tex]

simplify

[tex]2\pi r^2=72\pi[/tex]

Divide both sides by 2π

[tex]\frac{2\pi r^2}{2\pi }=\frac{72\pi }{2\pi }[/tex]

[tex]r^2=36[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]r=\sqrt{36},\:r=-\sqrt{36}[/tex]

Thus,

[tex]r=6,\:r=-6[/tex]

As we know that the radius can not be negative.

Therefore, the radius, in inches, of the base of the cone will be:

Hence, option B is correct.

Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric

Step-by-step explanation:

According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.

Note that the two values of Shop B (10 and 11) are alot lower than the other values.

Thus the correct option is Mean for shop A and Median for shop B.

Answer:

D) -1024, 4096,- 16384

Answer:

25 ft

Step-by-step explanation:

The path of the golf ball is given by the equation.

[tex]y=x-0.04x^2[/tex]

The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].

[tex]x[/tex] is horizontal distance

So

[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]

So, the ball will land 25 ft away from the tee.

Answer:

x=1/45

Step-by-step explanation:

do the inverse

please mark it as brainliest!!<3

Answer:

so the first one is 3+12y−2g

and the second one is 7g+5+8x

Step-by-step explanation:

im rlly rlly sorry if its wrong !!

Answer:

2

Step-by-step explanation:

Answer:

this is a vertical

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is No its not similar

because the factors don't work

Answer:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

So one side is 5

Other side is 2

Answer:

Suppose that the wholesale of a bike is A (A is the 100% in this case). If we have an increase of 30% for the sale price, we have the new price of:

Price = A + (30%/100%)A = A + 0.3*A = (1.3)*A

Then if we know that the price tag of the bike is $125, then we have:

$125 = (1.3)*A

$125/1.3 = A = $96.15

The wholesale cost of the bike is $96.15

Answer:

1. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?    $ 96.15

2. If the bike is discounted by 20%, how much will Andre pay (before tax)?  

                        $ 100

                                     I hope this helped <33 !

Answer:

It takes all staff 3 hours

Step-by-step explanation:

So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.

The time to assemble the remaining fraction of the bottle is 3.5 hours.

The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.

The remaining fraction of the bottle is calculated as follows;

[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]

The time to assemble the remaining fraction of the bottle is calculated as follows;

1/8 ----------------- 1/2 hour

7/8 ---------------- ?

[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]

Learn more about time to complete work here: https://brainly.com/question/10929133