Help please with explanations

Alternate exterior angles are formed by a transversal intersecting two parallel lines, therefore, your alternate exterior angles are <1 and <5.

Your alternate interior angles are  <2 and <6/ <3 and <7.

Corresponding angles are formed when two parallel lines are intersected by a transversal. (<1 and <3)

Vertical angles are formed when two lines intersect each other. Therefore, <1 and <7 fall into this category.

Answer:

67% as a fraction is 67/100

using the keyword 'of' they mean to multiply

67/100 x 242.07 = 162.1869, rounding to the nearest cent would be $162.19

Answer:

The number is 1203

Answer below is correct :)

Step-by-step explanation:

Please mark brainliest if it helps! =D

That "shell" figure is supposed to represent 0.

So the number

•••

(shell)

•••

is the base-20 number 303₂₀, which in base-10 is

303₂₀ = 3 × 20² + 0 × 20¹ + 3 × 20⁰ = 1203

Answer: C

Step-by-step explanation:

By the difference of squares, [tex]x^{4}-9=(x^{2}+3)(x^{2}-3)[/tex]

Answer:

B (6,0) because when graphed it would make a 90° angle

Answer: (B)

Step-by-step explanation:

For the triangle formed to be a right triangle in this case, the next point has to have the same x value as one of the two points in order for it to form a right triangle.

Hope that helps!

Answer:

~Y/n here~ I beleive this is your answer!

1/12 (13 - 3x)

(Hope this helps!)

Simplified: xy/3y+4x

factored: 1/(3/x)+(4/y)

Answer:

Step-by-step explanation:

WX = 18sin(57) = 15.1

XZ = 18cos(57) = 9.8

m∠W = 90 - 57 = 33°

Answer:

  b.  ellipse

Step-by-step explanation:

The squared terms have the same sign and different coefficients. That means the equation describes an ellipse.

__

Additional comment

both variables are highest degree 2:

  coefficients have the same sign and magnitude: circle

  coefficients have the same sign and different magnitude: ellipse

  coefficients have different signs: hyperbola*

only one variable has highest degree 2:

  parabola

____

* If the equation can be factored to a product of linear terms that is zero, then the equation is of two intersecting lines. This is a degenerate case of the hyperbola in which the major axis is zero: the two vertices are the same point.

I do not really know what the exact answer you are looking for is but please give me brainiest  in return

Feet: 75

Years: 35

Answer:

A: Vertical angles are congruent, C is the midpoint of BE, and ∠B ≅ ∠E.

B: C is the midpoint of AD, BC ≅ EC, and Vertical angles are congruent.

C: I assume you cannot use CPCTC so AAS and ASA.

Step-by-step explanation:

A: Since vertical angles are congruent, the interior angles using point C of the triangles are congruent. If C is the midpoint of BE, BC ≅ EC. Draw the congruent parts based on the 3 statements with tick marks and you will see that you have two pairs of congruent angles with an included pair of congruent sides, so ASA applies.

B: If C is the midpoint of AD, AC ≅ DC. Since vertical angles are congruent, the interior angles using point C of the triangles are congruent. Draw the congruent parts based on the 3 statements with tick marks and you will see that you have two pairs of congruent sides with an included pair of congruent angles, so SAS applies.

C: ∠B ≅∠E and ∠A ≅∠D since these are pairs of alternate interior angles. Since vertical angles are congruent, the interior angles using point C of the triangles are congruent and it is given that AB ≅ DE. When making the appropriate marks, you will see that only AAS and ASA can be used without CPCTC.

Using the volume of the rectangular prism, it is found that it takes 7 hours to fill the pool.

The volume of a rectangular prism of dimensions l, w and h is given by the multiplication of it's dimensions, that is:

V = lwh.

In this problem, the dimensions in meters are: l = 7, w = 3, h = 0.75. Hence, the volume in cubic meters is:

V = lwh = 7(3)(0.75) = 15.75.

It fill 2.25 cubic meters per hour, hence, for 15.75 cubic meters, the time taken is:

15.75/2.25 = 7 hours.

More can be learned about volume of a rectangular prism at https://brainly.com/question/17223528

We can identify the y-intercept very easily. Since, The equation is given in slope-intercept form:

[tex]y = mx + b[/tex]

Where,

Compare to the given equation:

Observe the point where function meets the y-axis

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] - 5 = - 5[/tex]

Therefore, Both functions have the same y-intercepts...~

Answer:

A

Step-by-step explanation:

The initial amount is 64, so that would be the y-intercept.

Each piece of wood, x, is [tex]6\frac{1}{4}[/tex] inches long, so x pieces would be [tex]6\frac{1}{4}x[/tex] pieces long.

Because you're subtracting the length of the pieces from the total length, you would subtract [tex]6\frac{1}{4}x[/tex] from 64.

Hope this helps!

Answer:

The answer is b, which is 3+x+3

Answer:

decrease of 38% (to nearest percent)

Step-by-step explanation:

Percent change = [ (difference between final and initial value) ÷ initial value] x 100

⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)

Answer:

y = -5/2x + 27/2

Step-by-step explanation:

line formula is y = mx + b

perpendicular means number next to the x (slope or m) becomes a negative reciprocal

2/5x -> -5/2x

then use point slope formula

y - y1 = m (x - x1)

y - 6 = -5/2 (x - 3)

y - 6 = -5/2x + 15/2

y = -5/2x + 15/2 + 6

y = -5/2x + 15/2 + 12/2

y = -5/2x + 27/2

Answer:

D. 30%

Step-by-step explanation:

Answer:

D) 30%

Step-by-step explanation:

→ a = 0.3

General formula,

→ a × 100 = %

Let's solve the problem,

→ 0.3 × 100

→ 30%

Thus, option (D) is answer.

Answer:

[tex]\huge\boxed{\bf\:A = 3W}[/tex]

Step-by-step explanation:

If [tex]\sf\:W = \frac { A } { 3 }[/tex], then A = ?

At first let's shift the the term 'W' to the LHS & A/3 to the RHS to bring the equation in the standard form.

[tex]\sf\:\frac{A}{3}=W[/tex]

Now, we know that, A/3 is the same as ⅓ A. Then,

[tex]\sf\:\frac{1}{3}A=W[/tex]

By multiplting both sides by 3..

[tex]\sf\:\frac{\frac{1}{3}A}{\frac{1}{3}}=\frac{W}{\frac{1}{3}} \\\sf\: A=\frac{W}{\frac{1}{3}}[/tex]

Divide [tex]\sf\:\frac{W}{\frac{1}{3}}[/tex] by its reciprocal.

[tex]\sf\:A=\frac{W}{\frac{1}{3}} \\ \sf\:A = \frac{3W}{1}\\[/tex]

So, the value of A is [tex]\downarrow[/tex]

[tex]\boxed{\bf\:A = 3W}[/tex]

__________

Have a great day ahead!

Answer:

C. 51

Step-by-step explanation:

I did this already on a test and got the answer right.

Answer:

C

Step-by-step explanation:

let's sort the numbers first :

35, 38, 43, 45, 51, 51, 55, 62, 64

the median is now the middle number of the sorted list :

51

Answer:

?????

Step-by-step explanation:

is there any questions you need help with ?

Step-by-step explanation:

Half of 40 is 20 and luckily they already gave us how much she would earn if she worked 20 hours.

So all we have to do is multiply the amount of money she earned when she worked 20 hours by 2 to see how much she earned when she worked 40 hours.

20 hours:165 dollars or 20:165

20 x 2= 40 and 165x2=330

So if Monique worked 40 hours she would earn $330.

Answer:

x=4

Step-by-step explanation:

In a parallelogram opposite sides are congruent. That means BC and AD are congruent if ABCD must be a parallelogram.

[tex]6+3x=x+14\\6+2x=14\\2x=8\\x=4[/tex]

To double check you can substitute x into the equations again and check if they are equal.

[tex]6+3(4)=(4)+14\\6+12=18\\18=18[/tex]

Answer:

a = 3

b = -7

c = 13

Step-by-step explanation:

[tex]\sf{given \ equation: 3x^2+bx+c[/tex]

[tex]\sf{sum \ of \ roots :\sf\frac{7}{3}[/tex]

[tex]\sf{product \ of \ the \ roots:\frac{13}{3}[/tex]

[tex]\sf{sum \ of \ roots \ = -\dfrac{coefficient \of \ x}{coefficient \ of \ x^2} }[/tex]

[tex]\sf \frac{-b}{3} = \frac{7}{3}[/tex]

[tex]\sf b = \frac{-7*3}{3}[/tex]

[tex]\sf b =- 7[/tex]

[tex]\sf{product \ of \ roots \ = \dfrac{constant \ term}{coefficient \ of \ x^2} }[/tex]

[tex]\sf{\frac{c}{3} =\frac{13}{3}[/tex]

[tex]\sf c = \frac{13*3}{3}[/tex]

[tex]\sf c = 13[/tex]

Therefore found that a = 3, b = -7, c = 13

Answer:

b = -7

c = 13

Step-by-step explanation:

[tex]3x^2+bx+c[/tex]

[tex]\textsf{sum of roots}=\dfrac{-b}{a}\\\\\textsf{product of roots}=\dfrac{c}{a}[/tex]

[tex]\textsf{Given sum of roots}=\dfrac73:[/tex]

[tex]\implies \dfrac{-b}{a}=\dfrac73[/tex]

[tex]\implies a=3, b=-7[/tex]

[tex]\textsf{Given product of roots}=\dfrac{13}{3}:[/tex]

[tex]\implies \dfrac{c}{a}=\dfrac{13}{3}[/tex]

[tex]\implies a=3, c=13[/tex]

Therefore,

[tex]3x^2-7x+13[/tex]

NB: The actual calculated roots are imaginary numbers as the function [tex]f(x)=3x^2-7x+13[/tex] does not intercept the x-axis