Which pair of triangles is similar?

Answer:

STEP

1

:

Equation at the end of step 1

 ((3 • (x3)) -  32x2) -  12x  = 0

STEP

2

:

Equation at the end of step

2

:

 (3x3 -  32x2) -  12x  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x3 - 9x2 - 12x  =   3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 3x - 4

The first term is,  x2  its coefficient is  1 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  -4

Step-1 : Multiply the coefficient of the first term by the constant   1 • -4 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -3 .

     -4    +    1    =    -3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  1

                    x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-4)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-4)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-4)

            Which is the desired factorization

Equation at the end of step

4

:

 3x • (x + 1) • (x - 4)  = 0

STEP

5

:

Theory - Roots of a product

5.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Step-by-step explanation:

I hope this helps

Last year the chess club had 30 members. This year the club has 24 members.

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

[tex]\frac{Difference}{Original} \times 100[/tex]

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

[tex]\frac{Difference}{Original} =\frac{6}{30} =0.2[/tex]

To convert the decimal to a fraction, multiply the decimal by 100.

[tex]0.2 \times 100 = 20 \%[/tex]

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

____

Answer:

Decreasing

Step-by-step explanation:

The percentages are decreasing because one year the club had 30 members and the present year has 24 members that decreased by 6!

Answer: 0.4 Inches

Step-by-step explanation:

Someone said it in the comments, give credit to them.

Answer:

a

Step-by-step explanation:

Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer: Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S             b. Given

2. ∠1 ≅ ∠2                                                            e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS                          a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ     c. AAS

5. ∠3 ≅ ∠4                                                            d. CPCTE

6. TQ ≅ TQ                                                           f. Reflexive

Step-by-step explanation:

Good luck on the rest of your assignment!

Answer:

(0,-3)

Step-by-step explanation:

Apex

Answer:

168 miles total

Step-by-step explanation:

42 miles x 4 hours = 168

Answer:

168 miles in 4 hours

Step-by-step explanation:

42x4=168, meaning that in 4 hours, the car travels at a constant speed of 42mph and travels a total of 168 miles in 4 hours

Answer:< RSC

Step-by-step explanation:

The angle has a measure equal to the sum of m <SQR and m <QRS is

m <RSC.

The correct option is A.

We have the information from which we can write

<SQR and < QRS are two interior angles of triangle QRS

Then, m<QSR = 180 - (sum of other 2 angles)

m<QSR = 180 - (m<SQR + m<QRS) (Angle sum property)

Also, m<RSC = 180 - m<QSR

Then <RSC = (m<SQR + m<QRS)

Thus, the ideal solution is A.

Learn more about Angle Sum Property here:

https://brainly.com/question/11596981

#SPJ7

Answer:

slope = - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Given

5x + y = - 9 ( subtract 5x from both sides )

y = - 5x - 9 ← in slope- intercept form

with slope m = - 5

Parallel lines have equal slopes, thus

The slope of a parallel line to the given equation is m = - 5

Answer:

the output is 52 and the equation is y=5x+27

Answer:

14

Step-by-step explanation:

because 6+6 is 12 and add 2 is 14

Answer:

2 13/20

Step-by-step explanation:

Answer:

2 13/20

Step-by-step explanation:

we can split up 2.65 into a whole number and a decimal

2.65

= 2 + 0.65      (note that 0.65 = 65/100)

= 2 + 65/100

= 2 65/100   (we can see that both numerator and denominator are multiples of 5, hence we can try to simply by dividing both numerator and denominator by 5)

= 2 (65÷5) / (100÷5)

= 2 13/20   (answer)

Answer:

He can wash 14 cars in one day. 14:1

Step-by-step explanation:

You divide 58 by 4

Answer:

14.5 cars

Step-by-step explanation:

58 Cars

÷ 4

4 Days

÷ 4

=

14.5 Cars

1 Day

=

14.5 Cars

Day

= 14.5 Cars per Day

Answer:

One pair of jeans costed 18.64

Step-by-step explanation:

37.28 divided by 2.

the answer is 240 seconds :)

give the other person brainliest

Answer:

6 time 2 is equal to 9 week then u do 6 divided by 3 to find one week then add it~

Step-by-step explanation:

As a result, Ben will play basketball 20 times in 10 weeks.

A mathematical expression is simplified when it is translated into an equivalent, often shorter statement. Procedure simplification is one way to promote consistency in work effort, cost, and duration. It removes diversity and variation that is harmful, ineffective, or unnecessary.

Given, ben plays basketball every 6 times in 3 weeks.

Since,

Ben plays basketball for 3 weeks  = 6 times

Ben plays basketball for 1 weeks  = 6/ 3 = 2 times

Ben plays basketball for 10 weeks  = 2 *10 = 20 times

Therefore, Ben play 20 times basketball in 10 weeks.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

Answer:

multiply by

Convert from Convert to

US gpd US gpm cfm IMP gpd IMP gpm

m3/s 22800000 15852 2119 19000000 13200

m3/min 380000 264.2 35.32 316667 220

m3/h 6333.3 4.403 0.589 5277.8 3.67

liter/sec 22800 15.852 2.119 19000 13.20

liter/min 380 0.2642 0.0353 316.7 0.22

liter/h 6.33 0.0044 0.00059 5.28 0.0037

US gpd 1 0.000695 0.000093 0.833 0.000579

US gpm 1438.3 1 0.1337 1198.6 0.833

cfm 10760.3 7.48 1 8966.9 6.23

Imp gpd 1.2 0.00083 0.00011 1

Step-by-step explanation:

googled it

Answer:

its the last choice

Step-by-step explanation:

Answer:

it is the second from the top

Answer:

i don't under stand the question

Step-by-step explanation:

Answer:

i think it is x=11,22 y= 21,42, then x=10,20 y=19,28, then x= 9,18 y=17,34,then x=7,14 y=13,26, then x=5,10 y=9,18

Step-by-step explanation:

Answer:

m<P = 60 degrees

Step-by-step explanation:

All sides of the triangle are equivalent to each other.

All three sides of the triangle equal 180 degrees total.

Since there are 3 sides, we divide 180 by 3 to find the measurement for all sides

180 ÷ 3 = 60

Q = 60 degrees

P = 60 degrees

R = 60 degrees

Check your work by adding all three sides together to equal 180:

60 + 60 + 60 = 180

180 = 180

Work is correct

Answer:

TRUE

Step-by-step explanation:

Answer:

y=5/4

Step-by-step explanation:

Solve for  y  by simplifying both sides of the equation, then isolating the variable.

Answer:

7

Step-by-step explanation:

Wherever we see an x, we just input 4 to find f(4)

f(4) = 2(4) - 1 = 8 - 1 = 7

Hope this helps!!!!!!!

Answer:

D.

−2x + 2y − 8

Step-by-step explanation:

x − 9 − 3x + 2y + 3 − 2 ( collect like terms)

-2x + 2y - 8

x - 3x = -2x

2y = 2y

-9 + 3 - 2 = -8

Answer/Step-by-step Explanation:

Given:

a = no. of DVDs

b = no. of CDs

Total cost ($) for DVDs and CDs = [tex] 2.5a + 2b [/tex]

a. The cost for 1 DVD = 2.5(a) = 2.5(1) = $2.5

The cost for 1 CD = 2(b) = 2(1) = $2

b. Total cost for 4 DVDs and 4 CDs:

Substitute a = 4, and b = 4 into the equation.

[tex] 2.5(4) + 2(4) [/tex]

[tex] 10 + 8 = 18 [/tex]

Total cost for 4 DVDs and 4 CDs = $18

c. To find out if $20 would be enough to buy 6 DVDs and 3 CDs, substitute a = 6, and b = 3 into the equation. Solve for the total cost to see if it equals $20 or is less than $20. If it's greater than $20, then it won't be enough.

[tex] 2.5(6) + 2(3) [/tex]

[tex] 15 + 6 = 21 [/tex]

6 DVDs and 3 CDs cost more than $20, therefore, $20 is not enough.

Answer:

c

Step-by-step explanation:

Answer:

x<9

Step-by-step explanation: