16. Find the missing angle.
60
80

Answer:

x = 2 and -4

Step-by-step explanation:

(x + 1)² = 9

First, take the square root of both sides. This will eliminate the square on the left side.

(x + 1) = √9

Note that √9 can be 3 or -3.

Let's write out both possibilities.

(x + 1) = 3

(x + 1) = -3

Solve.

(x + 1) = 3

[subtract 1 from both sides]

x = 2

--

(x + 1) = -3

[subtract 1 from both sides]

x = -4

Your answers are 2 and -4.

Let's check our answers by plugging in the values back into the original equation.

(x + 1)² = 9

(2 + 1)² = 9

(3)² = 9

9 = 9

That solution is correct.

(x + 1)² = 9

(-4 + 1)² = 9

(-3)² = 9

9 = 9

That solution is also correct.

Your answer is correct.

Hope this helps!

Answer:

2: 45     3: 45   4: 135    5: 135   6: 45   7: 45

Step-by-step explanation:

they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle

9514 1404 393

Explanation:

(a) Keep in mind the meaning of the variables:

With these definitions in mind, we can examine the constraints.

  x ≥ 0 . . . . . we cannot sell a negative number of PS4 units

  y ≥ 0 . . . . . we cannot sell a negative number of X.box 1 units

  y ≥ 5 . . . . . we intend to sell at least 5 X.box 1 units

  y ≤ 10 . . . . we cannot sell more than 10 X.box 1 units

  x + y ≤ 10 . . . . . we can sell at most 10 units total

(Please note that the constraints y ≥ 0 and y ≤ 10 are redundant to other more restrictive conditions.)

__

(b) The objective function tells us the total profit:

  P(x, y) = 100x + 80y

__

(c) Juan's goal: P(2, 7) = 100(2) +80(7) = 200 +560 = 760

  Justin's goal: P(4, 5) = 100(4) +80(5) = 400 +400 = 800

Meeting Justin's goal would result in more profit.

__

(d) It is not possible to sell a negative number of units*, so negative values for the variables do not make any sense. (This is consistent with the x≥0, y≥0 constraints above.)

_____

* Some linear programming problems plan for a certain number of returned items. Those could be considered to be negative sales.

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

Answer:

C. 13

Step-by-step explanation:

26 ÷ 2 = 13

Let me know if that helped!

Thanks for letting me answer!

Answer:

Step-by-step explanation:

Y2 + 72 ÷ x - 12

Putting values of x = 9 and y = 5 in the equation

(5)^2 + 72 ÷ 9 - 12

25 + 72 ÷ 9 - 12

25 + 8 - 12

33 - 12

= 21

Answer:

6

Step-by-step explanation:

(5)*2+72/9-12=6

/=divide

Answer:

I think it's mean, range, median, and outlier

Answer:

range,mode and median I think hehehe

Answer:

I graphed it for you in the image below.

Step-by-step explanation:

Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.

The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.

It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.

The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.

Thus, the graph is attached below.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

happy to help.........................................

Answer:

C

Step-by-step explanation:

hope this helps

Answer:

48

Step-by-step explanation:

by parallel laws

132 + x = 180

x = 48

so x must be 48

Answer:

C: 5√2

Step-by-step explanation:

Answer is C, 5[tex]\sqrt{2}[/tex] hope this helps !!!

Explanation: A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.

Answer:

not a function it's a relation

Step-by-step explanation:

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

Answer:

Each Interior Polygon angle = 180 - [ 360 / number of sides]

Each Angle = 180 - [ 360 / 10]

Each Angle = 180 - 36

Each Angle = 144 degrees  

Source http://www.1728.org/polygon.htm

Step-by-step explanation:

what

i'm sorry I don't understand chinese or whatever it is-

Answer:

The radius is 6

[tex] \sqrt{v \div \pi \times h =} [/tex]

=791.28/3.14×7.0

=

[tex] \sqrt{36} [/tex]

=6

The radius of cylinder is 3.764 cm.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us determine how much material is needed to fill it, such as how much water is needed to fill a bottle, aquarium, or water tank.

Given volume of cylinder = 791.28 cm³

height  = 7.0 inches

so, 1 inch  = 2.54 cm

7 inch  = 2.54 x 7 = 17.78 cm

height  = h = 17.78 cm

volume of cylinder = πr²h

where r = radius

V = πr²h

791.28 = 3.14(17.78)r²

r² = 791.28/55.8292

r² = 14.1732

r = √14.17732

r  = 3.764 cm

Hence the radius  is 3.764 cm.

Learn more about volume;

https://brainly.com/question/1578538

#SPJ5

x, x+10

5(x+10)=40+6x

5x+50=40+6x

x=10

and the other number is x+10

Hence teh numbers are 10,20

Answer:

100 sq. cm

Step-by-step explanation:

The scale factor from the smaller triangle to the larger triangle is 2.

The ratio of the areas is 2² = 4

4 * 25 sq. cm = 100 sq. cm

Answer: [tex]t<444.44[/tex]

Step-by-step explanation:

Given

Texting bill is given by [tex]c(t)=0.09t[/tex]

Spending must be less than [tex]\$40\ \text{per month}[/tex]

So, text billing must be less than $40

[tex]\therefore 0.09t<40\\\\\Rightarrow t<\dfrac{40}{0.09}\\\\\Rightarrow t<444.44[/tex]

Answer:

the volume will be 56 m³

because it is made of 56 cubes of 1m ³ volume

I hope it helps

Answer:

1/3 cubic unit

Step-by-step explanation:

Answer:

[tex]\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}[/tex]

(the other solutions can be obtained by adding 2pi as many times as you want)

Answer:

x-4

Step-by-step explanation:

(x^2-16)/(x+4) = x-4

Answer: 3.14 :) or A pie is a baked dish which is usually made of a pastry dough casing that contains a filling of various sweet or savoury ingredients. Sweet pies may be filled with fruit, nuts, brown sugar or sweetened vegetables. Savoury pies may be filled with meat, eggs and cheese or a mixture of meat and vegetables.

or

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 lol

Answer:

UHMMMM someting u eat?

Step-by-step explanation:

U go nom nom to it

Answer:

It would be B. 3.5 Pints.

Step-by-step explanation:

Answer:

10 x 15 = 150

Area of trapezoid:

10 + 20 = 30

30 x 5 = 150

20 - 15 = 5

150 divided by 2 ( x 1/2) = 75

75 + 150 = 225 square cm

Formula of a trapezoid:

B1(base1) + B2(base2) x H (Height) x 1/2 (basically dividing by 2)

Answer:

Adam and buford

Step-by-step explanation:

Answer:

adam and buford

Step-by-step explanation: