Select all pairs of vertical angles.

Angles 1 and 3, Angles 3 and 4, Angles 2 and 3, Angles 1 and 2, Angles 1 and 4, Angles 2 and 4

Answer:

1. -2 × -6

2. -2 × -y

3. -2× -6 + -2 × -y

4. -2 × -6 - -2 × -y

Answer:

1. 12

2. 2y

3. 12 + 2y

4. 12 - 2y

Answer:

(-1,1)

Step-by-step explanation:

Answer:

(- 1, 1 )

Step-by-step explanation:

2x - 3y = - 5 → (1)

3x + y = - 2 → (2)

multiplying (2) by 3 and adding to (1) will eliminate y

9x + 3y = - 6 → (3)

add (1) and (3) term by term to eliminate y

11x + 0 = - 11

11x = - 11 ( divide both sides by 11 )

x = - 1

substitute x = - 1 into either of the 2 equations and solve for x

substituting into (2)

3(- 1) + y = - 2

- 3 + y = - 2 ( add 3 to both sides )

y = 1

solution is (- 1, 1 )

Problem 1

Answer: The roots are x = 0, x = 2, x = -3

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

Explanation:

The term "root" is another way of saying "zeros of a function" or "x intercept".

To find the roots, set each factor equal to zero and solve for x.

x-2 = 0 solves to x = 2, while x+3 = 0 solves to x = -3

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

Problem 2

Answer: Roots are x = 1, [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex]

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

Explanation:

Factor by grouping

x^3 - x^2 + 5x - 5 = 0

(x^3 - x^2) + (5x - 5) = 0

x^2(x - 1) + 5(x - 1) = 0

(x^2 + 5)(x - 1) = 0

x^2 + 5 = 0 solves to the roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex]

x-1 = 0 solves to x = 1

Note: [tex]i = \sqrt{-1}[/tex]

1) Wat are the real zeros of the function y=x(x-2)(x+3):

Answer: [tex]x_{1} = -3 ; x_{2} = 0; x_{3} =2[/tex]

To find the x-intercept, set y = 0:

x( x -2 ) ( x + 3) = 0

Apply the Zero Product Property:

x - 2 = 0 or x + 3 = 0

x = 2 or x = -3

Find the union of solutions:

x = 0 or x = 2 or x = -3

2) Find all of the solutions of the equation

x^3 -x^2 +5x - 5 = 0

Answer: x = 1 or no real solution

Apply grouping:

[tex](x^{3} -x^{2} ) + *(5x-5)=0[/tex]

Factor out common factor:

[tex]x^{2} (x-1) +5(x-1)=0[/tex]

Factor out --> [tex](x-1)(x^{2} +5) =0[/tex]

Apply zero product property:

[tex]x - 1 =0[/tex] or [tex]x^{2} +5 =0[/tex]

x - 1 = 0

Rearrange variables to the left side of the equation--> x=1 or no real solutions.

Answer:

Step-by-step explanation:

Answer:

See below. (C*a) + (P*b) = M

Step-by-step explanation:

amount of students = 45

amount of candy per student = 1

amount of popcorn per student = 1

Let "S" be the total amount of students

Let "C" be the total amount of candy

Let "P" be the total amount of popcorn

Let "T" be the total number of snacks

Let "a" be the price per candy

Let "b" be the price per popcorn

Let "M" be the total amount of money spent at the game

The price of the candy is unknown.

The price of the popcorn is unknown.

The total amount of money spent at the game is unknown.

(C*a) + (P*b) = M

I am not sure what you are asking for but, here is what I drew up for you. Hope this helps!

To help Carmen find the total after 3 years

We'll have to use the annual compound interest formula: A = P(1 + r)ⁿ

A = Final balance (?)

P = Principal balance (6000)

r = Rate (0.028)

n = years (3)

A = 6000(1 + 0.028)³

A = 6000(1.028)³

A = 6000(1.086373952)

A = 6518.243712

Round that to the nearest cent, and we get $6,518.24 as the answer.

Question :-

Answer :-

[tex] \rule {210pt} {2pt} [/tex]

Given :-

To Find :-

Solution :-

As per the provided information in the given question, Length of Cuboid is 25 cm . Breadth is given 20 cm . Height of Cuboid is given 15 cm . And , we have been asked to calculate the Volume of Cuboid .

For calculating the Volume , we will use Formula :-

[tex] \bigstar \: \: \boxed {\sf { \: Volume \: _{Cuboid} = Length \times Breadth \times Height \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

⇒ Volume = Length × Breadth × Height

⇒ Volume = 25 × 20 × 15

⇒ Volume = 500 × 15

⇒ Volume = 7500

Hence :-

[tex] \underline {\rule {210pt} {4pt}} [/tex]

⇒ Volume = Length × Breadth × Height

⇒ Volume = 25 × 20 × 15

⇒ Volume = 500 × 15

⇒ Volume = 7500

Answer:

x = 57.8°

explanation:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(x) = \dfrac{11}{13}[/tex]

[tex]\hookrightarrow \sf x = sin^{-1}(\dfrac{11}{13} )[/tex]

[tex]\hookrightarrow \sf x = 57.8[/tex]

Answer:

57.8° (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio:

[tex]\mathsf{\sin(\theta)=\dfrac{O}{H}}[/tex]

where:

Given:

[tex]\implies \mathsf{\sin(x)=\dfrac{11}{13}}[/tex]

[tex]\implies \mathsf{x=\arcsin\dfrac{11}{13}}[/tex]

[tex]\implies \mathsf{x=57.8 \textdegree \ (nearest \ tenth)}[/tex]

Answer:

30°

Step-by-step explanation:

AB || DC (Given)

-> AB || DF

-> x = 30° (alternate angles)

Answer:

Step-by-step explanation:

Measure all three aspects--the length, width and height--of an object to get a three-dimensional measurement.

D = 437FT × 4 FEET

multiply the values in order to get the dimension

Answer: B

Step-by-step explanation:

They substitute =AC for =12 from step 1.

Answer:

23.4

Step-by-step explanation:

We can use 1/2absinC for this one

Just substitute the values!

1/2(5.6)(9)sin68

Once you solve that you'll end up with 23.4

It's not hard, really, the real hard thing is figuring out which rule to use because there are so many.

Answer:

x = 27.048

Step-by-step explanation:

sin(x) = 7/15

15 sin(x) = 7

15sin = 0.2588, so

0.2588(x) = 7

Then, divide both sides by 0.2588

x = 27.048

Answer:

∠ ABC = 51°

Step-by-step explanation:

the inscribed angle ABC is half the measure of its intercepted arc AC , so

5x + 11 = [tex]\frac{1}{2}[/tex] (16x - 26) ← distribute parenthesis

5x + 11 = 8x - 13 ( subtract 8x from both sides )

- 3x + 11 = - 13 ( subtract 11 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Then

∠ ABC = 5x + 11 = 5(8) + 11 = 40 + 11 = 51°

Answer:

One solution

(2,0) is the point

Step-by-step explanation:

If the graphs of the equations intersect, then there is one solution that is true for both equations.

When the lines intersect, the point of intersection is the only point that the two graphs have in common, so the coordinates of that point are the solution for the two variables used in the equations.

The point of intersection is (2,0), because that is the point that both lines intersect at.

Hello.

First, let's clarify what the G.C.F. means.

It means "Greatest Common Factor"

So, let's find the Greatest Common Factor of 15 and 48.

First, let's list all the factors of 15:

1, 3, 5, 15

Here are the factors of 48:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Therefore, the GCF of 15 and 48 is 3.

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

10001

Step-by-step explanation:

I don't exactly have explanation. So sorry, but 17 in base 10 is 10001 in base two.

Answer:

It would be -6, 5 but i dont see that for an option so pick -6,-5

Step-by-step explanation:

Answer: When triangles have two pairs of corresponding angles that are congruent, those triangles are similar.

Step-by-step explanation:

Answer:

By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the  formula of the radius over

The building process is as follows:

Circle diameter is plotted.

The method as described in the perfectly straight central axis of a portion is drawn by the bisector of the right angle of the radius.

It is also a circular pattern diameter.

The four areas on the circle that result are indeed the square vertices.

Pls, choose me as brainliest!

Answer:

35m

Step-by-step explanation:

The formula to find the volume of right circular cylinder is: V=πr^2*h

We know the following info:

V = 5390m^3

r = 7m

So the equation would be 5390 = 3.14*7^2*h

so h = 35m

Answer:

h ≈ 35.01m

Step-by-step explanation:

V=Лr²h

r =7m

v = 5390³

h= V / Лr²

h= 5390 / Л7²

=35.01409m

Answer:

1. pt. A) 96:38

pt. B) Because they are the same values, just flipped

2. pt. A) 38:46

pt. B) 19:23

Step-by-step explanation:

hope this helped

The graph looks like an absolute function.

If we were to compare the function [tex]y= |x|[/tex] to this graph (see image attached), we see that the function in the graph has only shifted two to the right.

To write in function form, when shifting the graph horizontally

In this case, since we want to shift over two spots horizontally, we get the function is

 y = |x -2|

Now we want to find the function that is increasing and decreasing over the same interval.

The only function that looks the most similar is y = 4|x-2|.

The reason for that is because the y = 4|x-2| is just a stretched version of y= |x-2| meaning the point where it is increasing or decreasing should stay the same. Look at the second image I attached.

Hope it helps!

The chances of selecting a pregnant guinea pig involves probability

The probability that all are pregnant is 0.187

Probabilities are used to determine the chances of events

From the question, 4 out of 7 guinea pigs are pregnant.

So, the probability that a selected guinea pig is pregnant is:

[tex]p = \frac 47[/tex]

The probability that all the selected 3 are pregnant is then calculated as:

[tex]p = \frac 47 * \frac 47 * \frac 47[/tex]

Evaluate the product

[tex]p = 0.187[/tex]

Hence, the probability that all are pregnant is 0.187

Read more about probability at:

https://brainly.com/question/25870256

» Variables y and x have a proportional relationship, where y = 9 when x = 3. What is the value of x when y = 36? Enter your answer in the box.

— — — — — — — — — —

Since variables y and x have a proportional relationship, then the equation is in the form y=kx.

First, we need to find the constant of variation (k) by substituting the given to the equation of variation.

The constant of variation (k) is 3. So, find the value of x when y = 36.

Hence the unknown value (x) is 12.

Answer:

I think A.

not 100% sure

Step-by-step explanation:

Three students is part of her sample is students 1, 10, and 20.

We have given that,

Karen created a sample of 20 students from a population of 100 in the following way.

First, she gave each student a unique number from 1 to 100. She then obtained a list of 20 randomly generated numbers between 1 and 100.

She used these numbers to identify which students to select. Here is the list of random numbers.

We have to determine the three students are part of her sample.

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.

Therefore option A is correct.

To learn more about the sample space visit:

https://brainly.com/question/9222927

#SPJ2

Answer:

100 - 5n

Step-by-step explanation:

100 - 5n

Hope this helps!

Answer:

1/2 mile

Step-by-step explanation:

30miles / 60 minutes = (30/60) miles / 1 minute = (1/2) mile / 1 minute

Answer:

y = -2x + 5

Step-by-step explanation:

to figure this out you may plug this equation into y = mx + b with b being the unknown

this goes to

-7 = -2(6) + b

then multiply 6 to -2

-7 = -12 + b

then add 12 to both sides

5 = b

b is 5 so that means the equation is

y = -2x + 5