In the diagram below, PQ is parallel to MN. Solve for 2. Round your answer to the
nearest tenth if necessary.

X=

Answer:

Hello,

Answer D

Step-by-step explanation:

I suppose that i is the imaginary (i²=-1)

i^4=1

i^99=i^(4*24+3)=i^3

i^3-i^3=0

Answer D

Answer:  D)  0

======================================================

Explanation:

Take note of this pattern

After this point, we repeat the cycle. The cycle is 4 units long. This means we can divide the exponent over 4 and look at the remainder

99/4 = 24 remainder 3

So i^99 = i^3

which means i^99 - i^3 = i^3 - i^3 = 0

Answer:

0.36

Step-by-step explanation:

To find the probability, just multiply.

probability of red candy * probability of pink cookie

0.9*0.4=0.36

I hope this helps!

8m+4m-6m-12

12m-6m-12

12m-6m

-6m

Answer:

It's true. We can write integers in fraction by giving it a denominator of 1.

Answer:

true

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Total number of cards in a normal pack = 52

Red cards in a pack = 26

Probability of getting a red card = 26/52

or 1/2 (simplest form)

Answer:

Its 6

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.

4/16 = 1/4

Answer:

123

Step-by-step explanation:

We can square and cube the equation, then multiply the results together.

(a + [tex]\frac{1}{a}[/tex]) = 3 ← square both sides

a² + 2 + [tex]\frac{1}{a^2}[/tex] = 9 ( subtract 2 from both sides )

a² + [tex]\frac{1}{a^2}[/tex] = 7 → (1)

-----------------------

Now cube both sides

a³ + [tex]\frac{1}{a^3}[/tex] + 3(a + [tex]\frac{1}{a}[/tex]) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 3(3) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 9 = 27 ( subtract 9 from both sides )

a³ + [tex]\frac{1}{a^3}[/tex] = 18 → (2)

------------------------------

Multiply (1) and (2)

(a² + [tex]\frac{1}{a^2}[/tex] )(a³ + [tex]\frac{1}{a^3}[/tex] ) = 7(18)

[tex]a^{5}[/tex]  + ( [tex]\frac{1}{a}[/tex] + a) + [tex]\frac{1}{a^5}[/tex] = 126

[tex]a^{5}[/tex] + 3 + [tex]\frac{1}{a^5}[/tex] = 126 ( subtract 3 from both sides )

[tex]a^{5}[/tex] + [tex]\frac{1}{a^5}[/tex] = 123

hi

so 3X = 18

      X = 18/3 = 6

Answer:

$8

Step-by-step explanation:

$96 divided by 12

Answer:

D

Step-by-step explanation:

The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5

Answer:

D

The y-intercepts of the two functions are opposites.

Step-by-step explanation:

f(x) = 3x-4  which has a slope of 3 and a y intercept of -4

g(x)

m = (5-4)/(3-0) = 1/3

g(x) = 1/3 x +4

g(x) has a slope of 1/3 and a y intercept of 4

Answer:

x [tex]\geq -10\\[/tex]

Step-by-step explanation:

x[tex]x\geq -10[/tex]

Answer:

0.02

Step-by-step explanation:

either picking a green then blue;

5/22 x 1/21= 5/462

or picking a blue then green;

1/22 x 5/21= 5/462

total is 10/462 which is approximately 0.02

since there was no specific order in the question i assumed you add them both.

Answer:

She will get more money than what she will get in the question

Answer:

the triangles are congruent by SSS criterion

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Vertical angles are equal to each other

-2x + 90 = x - 30

90 + 30 = x + 2x add like terms

120 = 3x divide both sides by 3

40 = x

angle <ZD is x - 30 so the answer is 10

Answer:

the correct answer is 16ft^2

Answer:

1. 12 + x = 20        2. x + 8 = 4x + 6

Step-by-step explanation:

problem 1 :      

12 + x = 20

problem 2:

x + 8 = 4x + 6

Answer:

D) y - 4 = -2 ( x - 1 )

Step-by-step explanation:

Point-slope form is y - y₁ = m ( x - x₁ )

so you just plug in your points, hope this helped

Answer:

C. $1,260

Step-by-step explanation:

80 × 14.5 = 1,160

2,500 × 0.04 = 100

Answer:

C. $1260

Step-by-step explanation:

Step-by-step explanation:

use cos since we're given the adjacent and asked to find the hypothenus.

cos 33° = 6/x

cross multiply

xcos33° = 6

divide both sides by cos 33°

(cos 33 is approximately 0.8387)

then x = 7.15

Answer:

[tex]x \approx 7.2[/tex]

Step-by-step explanation:

The given triangle is a right triangle this is indicated by the box around one of its angles, signifying that the angle is a right angle. One of the properties of a right triangle is the right angle trigonometric ratios. these are a series of ratios that relate the sides and angles of a right triangle. Such ratios are as follows:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the sides named ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) Are subjective and change based on the angle by which one refers to. However the side ([tex]hypotenuse[/tex]) indicates the side opposite the right angle, this side does not change its name.

In this case, one is given a (33) degree angle, and the measure of the side adjacent to is, (6). One is asked to find the measure of the hypotenuse (x). It would be most logical to use the ratio of cosine (cos). Substitute the given values in and solve for (x).

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(33)=\frac{6}{hypotenuse}[/tex]

Inverse operations,

[tex]cos(33)=\frac{6}{hypotenuse}[/tex]

[tex]hypotenuse=\frac{6}{cos(33)}[/tex]

[tex]hypotenuse \approx 7.15[/tex]

Answer:

32 female - 23 right-handed || 9 left-handed

22 male - 18 right handed || 4 left handed

Step-by-step explanation:

I find it easiest to write all the information out and fill the gaps.

From what we're given, 32 employees are female, that means 22 are male, as 54 - 32 = 22.

We are also given that there are 41 right-handed employees, which means there is 13 left-handed employees by subtraction.

If 18 of the right-handed employees are male, then 23 of them are female, and  4 are left-handed males.

If 23 of the female employees are right-handed, then 9 female employees are left-handed.

It's quite simple if you write everything out :D

Answer:

11/5

Step-by-step explanation:

f(x) = 6/x-1

f(x) = 5

6/x-1 = 5

=> 6 = 5(x-1)

=> 6 = 5x - 5

=> 11 = 5x

=> 5x = 11

=> x = 11/5

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

D.

area of triangle = 1/2 × base × height

therefore,

1/2× 9× 13= 58.5in^2

The area of the triangle with a base of 9 inches and height of 13 inches  is 58.5in^2

We have given that,9 in,16 in, and 13 in

Drawing not to scale

We have given that the triangle

area of triangle = 1/2 × base × height

therefore,

Use the given value in the formula so we get

[tex]1/2\times 9 \times 13= 58.5in^2[/tex]

Therefore the area of the triangle is 58.5in^2.

To learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Step-by-step explanation:

the measure of the segment YZ

[tex] \sin(30) = \frac{yz}{50} \\ yz = 50 \times \sin(30) = 25[/tex]

YZ= 25 m