Should I use SAS (side angle side) or SSS (side side side) to see if the triangles are congruent? AND WHY?

Answer:  

1.) The sum of 12 and x   12 + x   or   x + 12

2.) The product of 25 and p     25 × p    or  25p

3.) 24 increased by twice a number z    24 + 2z     or  2z + 24

4.) The quotient of a number x and 4   x ÷ 4 .  or   x/4

5.) 6 less than a number x     x - 6

6.) One-half of n squared       n² ÷ 2     or    n²/2    

Step-by-step explanation:  In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math.  As you advance into Algebra, the ÷ and × are rarely used in favor of  /  or fraction form like   [tex]\frac{x}{4}[/tex] and  [tex]\frac{x^{2} }{2}[/tex]  for division.  Parentheses replace × for multiplication, for example  (25)(p)=25p   to avoid confusion with x, commonly used as an unknown or variable.

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

Answer:

L: y= -4x + 17

Step-by-step explanation:

For a line L to pass through two points, we use the slope formula to calculate the slope, m, where

m = (y2-y1) / (x2-x1)

= (9-1) / (2-4)

= 8 / -2

= -4

Next we use the point slope form to find the line equation:

L: (y-y1) = m (x-x1)

substitute (x1,y1) = (4,1)

L: y-1 = -4 (x-4)

Simplify:

L: y = -4x + 16 + 1

L: y= -4x + 17

Check: substitute (4,1)

y = -4(4)+17 = 1  checks

substitute (2,9)

y = -4(2)+17 = 9 checks

so

L: y= -4x + 17

Answer:

y is equal to 5 and x is equal to 11

Answer:

t

Step-by-step explanation:

The letter that comes next in the given sequence is K.

The given sequence is F H K N Z.

We need to find which letter comes next in the given sequence.

The pattern followed by the given sequence is they are letters of sounding board consonants.

Therefore, the letter that comes next in the given sequence is K.

To learn more about the sequence visit:

https://brainly.com/question/21961097.

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Answer:

y = -4

Step-by-step explanation:

x = 3 is a vertical line.

The perpendicular line passes through (0, -4) (x, y)

y = -4

The line is perpendicular, so the line should be also horizontal.

Answer:

y = -4

Step-by-step explanation:

The line x = 3 is a vertical one; any line perpendicular to x = 3 is a horizontal line (which has a zero slope).  

Thus, the desired line is a horizontal one that passes through (0, -4) and is represented by y = -4.

Answer:

-9ab3a3b-52

Step-by-step explanation:

-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2

-8a3b-6a-52+5a2b3a3b

-14a3b-52+5a2b3a3b

-9ab3a3b-52

Answer:

The answer is 19

Step-by-step explanation:

I am not good at explainig at all and im not sure how to explain but I had this question

Cecilia is 19 m behind the Arman.

Arman, Babken, and Cecilia decided to compete in a 100m run.
When Arman crossed the finish line, Babken was 10m behind him.
When Babken crossed the finish line, Cecilia was 10m behind him.

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Here,
When Babken is 10m behind the Arman, distance covered by babken is 90 m. Cecilia is 10 m behind when Babken cross the finish line implies Cecilia cover 90% of Babken covered distance.
So Cecilia covers 90% of Babken covered distance when Arman crossed finish line.

As arman crossed finish line Cecilia is at  = 90% of run covered by babken, 
= 90 * 90/100
= 81
Now, Cecilia behind Arman when he crossed the finish line = 100-81
=19

Thus, Cecilia is 19 m behind the Arman.

Learn more about percentage here:

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Hey there! :)

Answer:

21 minutes.

Step-by-step explanation:

Begin by calculating the number of 12 hour periods in a week.

Each day contains two 12 hour periods. (24 hours/12 = 2)

There are 7 days in a week, therefore:

2 × 7 = 14 times the watch will lose minutes.

Multiply to find the total number of minutes lost:

14 × 1.5 = 21 minutes.

Answer:

21 minutes

Step-by-step explanation:

There are 24 hours in one day, and 7 days per week.  Thus there are

(24)(7), or 168, hours in one week, or 14 - 12-hour periods.

Thus, we multiply 14 - 12-hr periods to answer this question:

1.5 minutes / 14 - 12-hour periods)= 21 minutes will be lost in one week.

Answer:

S(t) = 2 - 0.25 t

Step-by-step explanation:

i am not explaining :> (me being lazy)

Answer:

B. 240

Step-by-step explanation:

We are given an equilateral triangle. By definition, each angle of this triangle is equal to 60 degrees and the sides are all congruent.

We would like to rotate the triangle clockwise so that A maps exactly onto C. Since the internal angles are 60 degrees, when we turn the triangle one time to the right so that B is now at the top, we have rotated the entire figure 60 degrees.

Already, A is actually on C; however, none of the answer choices matches 60 degrees, so we realise that we want a multiple of 60 that will still ensure our triangle maps A to C. We notice that if we rotate the triangle three more times after that first rotation (so that's another 60 degrees, 60 degrees, and 60 degrees), we will obtain a position that is exactly what we want: A is on C!

Thus, the number of angles is 60 + 60 + 60 + 60 = 240.

The answer is B.

~ an aesthetics lover

Answer:

240

Step-by-step explanation:

Since this is an equilateral triangle, we can divide the circle into 3 pieces and the figure will look the same

360/3 = 120

Every rotation of 120, and the figure is identical

120, 240 ,360 will give an identical figure

Since we need to move point A to C we can move it 240 counterclockwise and point A will be at point C

Answer:

money invested at 3% is $4000

Step-by-step explanation:

let the money invested in 3% account be x

then money invested in 5% account = 6000 - x

we know interest = p*r*t/100

p is the principle amount invested

here t = 1 year

interest on 3% money

interest= x*3*1/100 = 3x/100

interest on 5% money

interest= (6000-x)*5*1/100

Total interest earned on both the account

3x/100 + 5(6000-x)/100 = (3x + 30,000 - 5x)/100 =( 30000-2x)/100

given that total interest earned = $220

thus

( 30000-2x)/100 = 220

=> 30000-2x = 220*100= 22,000

=> -2x = 22,000- 30,000

=> x = -8000/-2 = 4000

Thus, money invested at 3% = x = $4000

Answer:)

$4000

Step-by-step explanation:

Answer:170

Step-by-step explanation:

122+24+24=170

Answer:

24.

Step-by-step explanation:

To solve this question, you might need to do a little math. So, there are four digits, correct? And they cannot be repeated? Well, you can solve this problem by creating the numbers. Here are the ones I came up with:

1234

1324

1432

1342

1243

1423

See? There are 6. You can do the same with these:

2341

2413

2314

2143

2134

2134

These are only half of the expressions. Hopefully this helps you come up with the rest. Best of luck.

Step-by-step explanation:

[tex]a)

\\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}[/tex]

Solve b part yourself in the same way.

Answer:

The independent variable is the depth below the surface of the lake the dependent is the tempeature of the water

Step-by-step explanation:

Tempeture = depth x

Answer:

Step-by-step explanation:

Given,

R = 8 m

H = 15 m

Slant height :

[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]

[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]

[tex] = \sqrt{64 + 225} [/tex]

[tex] = \sqrt{289} [/tex]

[tex] = \sqrt{ {(17)}^{2} } [/tex]

[tex] = 17 \: m[/tex]

Now, Finding the surface area of the cone:

[tex]\pi \: r(r + s)[/tex]

Plugging the values:

[tex] = \pi \: \times 8(8 + 17)[/tex]

[tex] = 8\pi \: \times 25[/tex]

[tex] = 200 \: \pi[/tex]

Hope this helps...

Good luck on your assignment...

Answer: (C) 9

Step-by-step explanation:

F+V-E = 2

F + 14 - 21 = 2

F = 9

Answer:

65 degrees

Step-by-step explanation:

65 degrees

it is 65 because of the vector relationship: 30 + 100 = 130. 130/2=65 degrees

Answer:

115

Step-by-step explanation:

The total circle is 360 degrees.  The sum of the arcs of the circle is 360

Arc DC = 360 - Arc CB - Arc BC

DC = 360 -30-100

DC =230

Inscribed Angle =1/2 Intercepted Arc

<DBC = 1/2 CD

<DBC = 1/2 (230)

           = 115

Answer:

The cross-section of the rectangular prism is a:

Step-by-step explanation:

When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.

Answer:

2) 49.5°

Step-by-step explanation:

From the above diagram, we are asked to calculate the measure of ∠C.

The formula to be used for this calculation is given as:

∠C = 1/2 (Far Arc - Near Arc)

∠BAD = 127° = Far Arc

∠EAF = 28° = Near Arc

The measure of ∠C = 1/2 (BAD - EAF)

= 1/2 ( 127° - 28°)

= 1/2 × 99°

measure of ∠C = 49.5°

Answer:

49.5

Step-by-step explanation:I took the test

Answer:

3) (x – 2)^2 + (y + 1)^2 = 16

Step-by-step explanation:

Equation of circle:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center, and r is the radius.

From the graph, we see the center is at (2, -1), so h = 2, and h = -1.

The radius is 4, so r = 4.

The equation is

(x - 2)^2 + (h - (-1))^2 = 4^2

(x - 2)^2 + (h + 1)^2 = 16

Answer:

The area of a triangle is base * height / 2. In this case that is:

3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²

Answer:

3x-6 inches^2

Step-by-step explanation:

[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]

Answer:  You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4    (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b:  -2x + 4x = 2x  You know a = 1 because x²  will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a   x = -(2)/2(1)  -2/2 = -1  

-1 is the "x-value" of the vertex.  

The y value is the 'c' in the quadratic formula. You get that from the  L part of FOIL   -2 × 4 = -8 .

So, your coordinates for the vertex:  ( -1, -8 )

If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.  

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

Answer:

Option C, i.e., point B.

Step-by-step explanation:

The given system of inequalities is

[tex]y>-2x+10[/tex]     ...(1)

[tex]y>\dfrac{1}{2}x-2[/tex]     ...(2)

If a point is a solution of given system of inequalities, then the both inequalities must be satisfy by the point.  

From the given graph it is clear that coordinates of point E are (4,-2).

Put x=4 and y=-2 in (1).

[tex]-2>-2(4)+10\Rightarrow -2>2[/tex] False.

From the given graph it is clear that coordinates of point K are (2,3).

Put x=2 and y=3 in (1).

[tex]3>-2(2)+10\Rightarrow 3>6[/tex] False.

From the given graph it is clear that coordinates of point B are (4,7).

Put x=4 and y=7 in (1).

[tex]7>-2(4)+10\Rightarrow 7>2[/tex] True.

Put x=4 and y=7 in (2).

[tex]7>\dfrac{1}{2}(4)-2\Rightarrow 7>0[/tex] True.

Since both inequalities are true for B(4,7), therefore point B is the solution.

From the given graph it is clear that coordinates of point D are (-7,1).

Put x=-7 and y=1 in (1).

[tex]1>-2(-7)+10\Rightarrow 1>24[/tex] False.

Since the given inequalities are false for points E, K and D, therefore they are not the solution.

Answer:

The inverse of the function is

[tex] \sqrt[3]{x - 8} [/tex]

Step-by-step explanation:

To find the inverse of the function we equate f(x) to y

That's

f(x) = y

So we have

[tex]y = {x}^{3} + 8[/tex]

Next interchange the terms x becomes y and y becomes x

That's

[tex] x = {y}^{3} + 8[/tex]

Next make y the subject

That's

[tex] {y}^{3} = x - 8 \\ \\ y = \sqrt[3]{x - 8} [/tex]

Hope this helps you.

Answer:

30 in^3

Step-by-step explanation:

5 x 3= 15 x 2= 30

Answer:

30 in³

Step-by-step explanation:

V = 2in×3in×5in

= 6in²×5in

= 30 in³