In Exercises 1-4, ill in the blank.
1. If the sum of the measures of two angles is 1809, the angles are
00
45
2. If the sum of the measures of two angles is 90%, the angles are
3. When two angles in a plane share a vertex and a side but no common interfor potnts, they
angles. Example: ZAOB and ZAOD.
are called
B
4. When two lines Intersect, they form two pairs of opposite" angles
called
angles
. Example: ZAOB and COD.

Answer:

Part 1)

A

Part 2)

C

Step-by-step explanation:

1)

We are given:

[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]

And that:

[tex]h(x)=f(x)/g(x)[/tex]

And we want to now for which values of x is h(x) undefined.

So, by substitution:

[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]

Remember that for rational functions, the function will be undefined if and only if the denominator is 0.

This is because we cannot divide by 0.

So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:

[tex]x^2-9=0[/tex]

Add 9 to both sides:

[tex]x^2=9[/tex]

Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:

[tex]x=\pm 3[/tex]

So, h(x) is undefined for ±3.

Our answer is A.

2)

We are given:

[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]

And we want to find:

[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]

So:

[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]

Distribute:

[tex]h(x)=3^x-3^{2x}+3^x[/tex]

Combine like terms:

[tex]h(x)=2(3^x)-3^{2x}[/tex]

Rewrite:

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

Factor out:

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

So, our answer is C.

Answer:

x=10

Step-by-step explanation:

x+ 5= 3x - 21 +6

x+5 = 3x - 15

20= 2x

Answer:

x=7

Step-by-step explanation:

okay so you can see that there is a isocales triangke so that means the other base angle has to be 8x

then you know that the dioganels are perpendicular to each other

so then you know that 8x+5x-1+90=180

13x-1=90

13x=91

x=7

hope that helps

I'm guessing 90cm ?? I'm not sure

Answer:

not a function

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3(4) + 3(2)

12 + 6 = 18

Answer:

A. Three inches

Step-by-step explanation:

Exact amount is: 2.84765625

Answer: Given:

4 shirts, 4 pairs of trousers , and 2 hats is $560

9 shirts, 9 pairs of trousers , and 6 hats is $1,290

1) Let x be the price of 1 shirt

Let y be the price of 1 pair of trousers

Let z be the price of 1 hat

2) 4x + 4y + 2z = 560

3) 9x + 9y + 6z = 1,290

4) (9x + 9y + 6z) / 3 = 1,290 / 3

3x + 3y + 2z = 430

5)

4x + 4y + 2z = 560

- (3x + 3y + 2z = 430)

x + y = 130

6) 3(x+y) + 2z = 430

3(130) + 2z = 430

390 + 2z = 430

2z = 430 - 390

2z = 40

z = 40/2

z = 20

7) x = price of 1 shirt; y = price of 1 pair of trousers ; z = price of 1hat

x + y = 130 ; z = 20

130 + 20 = 150

The price of 1 shirt, 1 pair of trousers, and 1 hat is $150.

So this is not impossible!

-chiyoku toga

Answer:

hey

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

4x-12=28

4x = 40

x = 10 (Answer)

Answer:

b

Step-by-step explanation:

i think

Answer:

B

Step-by-step explanation:

Answer:

(2,3)

Step-by-step explanation:

Answer:

(2,3)

Step-by-step explanation:

Once again the answer to the equations is where the two lines intersect and they intersect at (2,3)

Answer:

OOPEEEEEEEEEEEEEEEE

Step-by-step explanation:

The answer is,

4.53

25-25=0

Assuming that x is five then this would work.

Answer:

x-5

Step-by-step explanation:

divide both sides by 5

5x-25

/5   /5

_____

x -  5

Answer:

17) (4 x 3) - 2 = 12 - 2 = 10

18) (3 x 2) + (2 x 4) - 3 = (6 + 8) - 3 = 14 - 3= 11

Step-by-step explanation:

Answer:

A. y > -3 All real numbers greater than -3

Step-by-step explanation:

Answer:

n = 4

Step-by-step explanation:

To do this you would find the cube root of 64 which is 4.

n =4 will be the only solution of the following equation. n to the power of 3 =64.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an equation n to the power of 3 =64.

This equation can also be represent as:

n³ = 64

taking cube root of the Both sides

n = ∛64

n = 4

Therefore,  the real solution of the following equation. n to the power of 3 =64 is n = 4.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

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Answer:

1. no

2. 36+196=232    c=441 Obtuse.

3. x is greater than 3, less than 21.

Step-by-step explanation:

1. no

2. 36+196=232    c=441 Obtuse.

3. x is greater than 3, less than 21. is the correct answer to the question

Answer:

Step-by-step explanation:

[tex]\text{rule}=a+\frac{b}{c}=\frac{ac+b}{c}\\ \\ 5\frac{1}{2}=\frac{5(2)+1}{2}\\ \\ \frac{11}{2}[/tex]

Answer:

63.585 sq. inches

Step-by-step explanation:

r = 9in ÷ 2

A = π (4.5)²

A = 63.585 sq. inches

Radius of pie plate is 63.58 square inches

Given that;

Diameter of pie plate = 9 inches

Find:

Area of pie plate

Computation:

Radius of pie plate = 9/2 inches

Radius of pie plate = 4.5 inches

Area of circle = Area of pie plate

Area of pie plate = πr²

Area of pie plate = (3.14)(4.5)²

Radius of pie plate = 63.58 square inches

Find out more information about 'Radius'.

https://brainly.com/question/1014866?referrer=searchResults

Answer:

That is a 30 60 90 triangle.

In such a triangle the "middle" size = short side * sq root (3)

height = 5 * sq root (3) =  8.6602540378

Area = (1/2) * 5 * 8.6602540378

Area = 2.5 * 8.6602540378

Area = 21.6506350946 square centimeters

Step-by-step explanation:

Answer:

            A=24√3

            Put In Decimal Form:41.5692193817^3

Step-by-step explanation:

4 Inches on short side, this means that the long side is 8 inches because the short side is always 1/2 the length of the long side, The medium side length is 4√3. So you need to take the short side and medium side and multiply them by 1/2, look below for how to do it.

A=1/2(4)(4√3)

2(12√3)

24√3

Answer:

m = 7

Step-by-step explanation:

21 = m + 14

21 - 14 = m

m = 7

Answer:

2 answer is right

Step-by-step explanation:

I think

Answer:

1. Elaborate on how two mostly unlike things are alike.

Step-by-step explanation:

took the test lol

Answer:

the 192 plus 158 is 350 your welcome