What is the congruence theorem used to prove that the two triangles are congruent?

Answer:

p = 3

Step-by-step explanation:

5p+8 = 7p+2 (subtract boths sides by 2 and 5p)

6 = 2p (Divide both sides by 2)

p = 3

Answer:

p=3 hoped this helped........

Answer:

(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x²  +  1).

(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.

Step-by-step explanation:

(i) Given;

Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3

Factor, = x + 3

            x = -3

if (x + 3) is a factor of the polynomial, then p(-3) = 0

p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3

        = 81 -108 + 36 - 12 + 3

        = 0

(x + 3) is a factor of the given polynomial and the remainder is 0.

The remaining factors can be obtained as follows;

               x³  +  x² + x + 1

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

x + 3 √x⁴ + 4x³ + 4x² + 4x + 3

        - ( x⁴  + 3x³)

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

                    x³ +  4x² + 4x + 3

                   -(x³  + 3x²)

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

                            x² + 4x + 3

                          -(x²  + 3x)

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

                                     x + 3

                                   -(x + 3)

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

                                          0

 Further divide x³  +  x² + x + 1  by x + 1

                      x²  +  1

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

        x + 1 √x³  +  x² + x + 1

                 -(x³  +  x²)

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

                                   x +  1  

                                 -( x  + 1)

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

                                      0              

Thus, the factors of  x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x²  +  1)

(ii) Given;

Polynomial, p(x)= 2x⁴ - 5x² - 2

Factor, = x + 1

            x = -1

if (x + 1) is a factor of the polynomial, then p(-1) = 0

p(-1) = 2(-1)⁴  - 5(-1)² - 2

       = 2 - 5 - 2

       = -5

Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.

Answer:

46.6

Step-by-step explanation:

have a good day

Answer:

1.25y=x

Step-by-step explanation:

If A (or y)=5 and B (or x)=4 then I think the equation will be 1.25y=x

I am sorry if I am wrong :(

But Hope this Helps ;)

Answer:

[tex]\huge \orange {\boxed {y = - \frac{5}{4}x + 5}} [/tex]

Step-by-step explanation:

Line is intersecting x and y axes at the points (4, 0) & (0, 5)

So, y- intercept (b) = 5

[tex] Slope\: (m) = \frac {(5-0)}{(0-4)} = - \frac {5}{4} [/tex]

Equation of line in slope intercept form is given as:

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

Plugging the values of m and b in the above equation, we find:

[tex]\huge \purple {\boxed {y = - \frac{5}{4}x + 5}} [/tex]

1036  genetically altered spiders

Answer:

Scalene right triangle is the triangle with all 3 sides are not equal with each other and makes 90° at one of the angle.

Scalene obtuse triangle is the triangle with all 3 sides are not equal with each other and makes one angle more than 90° at one of the angle.

Isosceles Acute triangle is the triangle with all 2 sides  and makes one angle less than 90° at one of the angle.

Scalene Acute triangle is the triangle with all 3 sides are not equal with each other and makes one angle less than 90° at one of the angle.

equilateral triangle triangle is the triangle whose all 3 sides are equal with each other and makes angle of 60°.

Isosceles obtuse triangle is the triangle with all 2 sides are equal  and makes one angle more than 90° at one of the angle.

Isosceles right triangle is the triangle with all 2 sides are  equal  and makes 90° at one of the angle.

Answer:

Substituting for a Variable

If you know the value that the variable is equal to, you can substitute that value in for the variable in the expression! Let's look at an example. Since we know that x=5, we can directly substitute or replace the x in the expression x+3 with a 5 to solve for y!

Step-by-step explanation:

I hope this kinda helps

Answer:

the answer is =7.6n+0.8

Step-by-step explanation:

hoped I helped

Answer:

free points? ill answer anyway! :)

Step-by-step explanation:

maggie graphed -2-8 so the vertex could be 270 degrees and the B'-2, 2 SO now B' -4 8 and same with C' 3, -8 now instead of C' 1/4! hoped this helped!!

Answer:

1a) 25, 1b) 3, 2a) 14, 2b) 4

Step-by-step explanation:

1a)

x/5 + 10 = 15

Subtract 10 from both sides:

x/5 = 15 - 10

x/5 = 5

Multiply both sides by 5:

x = 5 * 5

x = 25

1b)

25x + 26 = 101

Subtract 26 from both sides:

25x = 101 - 26

25x = 75

Divide both sides by 25:

x = 75/25

x = 3

2a)

Four less than a number is 10.

Let's call the number x. This means:

x - 4 = 10

Now add 4 to both sides:

x = 10 + 4

x = 14

2b)

The product of three and a number equals 12.

Let's call the number x. This means:

3 * x = 12

Now divide both sides by 3:

x = 12/3

x = 4

Answer:

− 2 a 4 − 5 a + 1

Step-by-step explanation:

Answer:

-2a^4 - 5a +1

Step-by-step explanation:

I dunno if this is right but i got this.

9514 1404 393

Answer:

  36

Step-by-step explanation:

"Varies directly" means the relationship is proportional:

  y/9 = 16/4

  y = 9·16/4 = 36

The value of y is 36 when x = 9.

Answer:

1/3

Step-by-step explanation:

She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon

Answer:

Step-by-step explanation:

Answer:

From the Pythagorean Theorem

side^2 = 40^2 -32^2

side^2 = 576

side = 24 inches

Step-by-step explanation:

Answer:

Each computer needs 3/2, or 1.5 feet of cable

Step-by-step explanation:

Firstly, we need to divide 4 1/2 by 3

Then we can make 4 1/2 an improper fraction.

We will also multiply 4 by 2 and then add 1

= 8 + 1

= 9

But;

9/2 = 4 1/2

In order to divide 9/2 by 3/1, we will change 3/1 to 1/3 and then multiply

= 9/2 × 1/3

= 9/6

= 3/2 or 1.5

Therefore, each computer needs 3/2, or 1.5 feet of cable.

Answer:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

Explanation is given below

Step-by-step explanation:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

In order to answer this question we need to have the dimensions of the box.

Let's suppose there are 6 outside surfaces of the box and are equal in dimension including the bottom side which Jan wants to varnish.

So,

Let's suppose,

Surface area of the cube = 6[tex]a^{2}[/tex]

Here, Surface area = 275 square inch

Surface area of the cube = 6[tex]a^{2}[/tex] = 275 square inch

[tex]a^{2}[/tex] = 275/6 = 45.833

a = [tex]\sqrt{45.833}[/tex]

a = 6.77 inches

Now, for the amount of the varnish, we need the spreading rate of the varnish to be used on the box,

Let's suppose it is = 11 square incher per litre.

So,

Required Varnish = Surface area / Spreading rate

Required varnish = 275 / 11

Required varnish = 25 liters

If the 1 container of varnish contains 25 liters then it will be sufficient to protest the outside surfaces of the box.

Answer:

The out-of-state tuition would be $8800.

Step-by-step explanation:

Given that:

The ratio of in-state tuition to out-state tuition = 3:11

If the tuition of in-state is $2400.

Let,

x represent the number of out-of-state tuition.

As the relation is directly proportional.

3 : 11 :: 2400 : x

Product of mean = Product of extreme

11*2400 = 3x

3x = 26400

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{26400}{3}\\x=8800[/tex]

Hence,

The out-of-state tuition would be $8800.

Answer: y=2x+6

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The range of a function is the set of all y-coordinates of the points of the function.

The smallest y-coordinate is 1. Then the y-coordinates increase all the way to infinity.

y >= 1

Answer: D.

Answer:

D. y ≥ 1

General Formulas and Concepts:

Math

Algebra I

Step-by-step explanation:

According to the graph, the line's y-value spans from 1 to infinity. Since 1 is a closed dot (included in the graph), it is inclusive in the range:

[-1, ∞) or y ≥ 1

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have

[tex]4 \div \frac{1}{2} [/tex]

[tex] = 4 \times \frac{2}{1} [/tex]

[tex] = \frac{8}{1} [/tex]

[tex] = 8[/tex]

[tex]8 \times \frac{1}{2} [/tex]

[tex] = 4 \times \frac{1}{1} [/tex]

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

8 pieces

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

Answer:

▢ [tex]$\overline{DG}$[/tex] ≅ [tex]$\overline{FG}$[/tex]

▢ [tex]$\overline{DG}$[/tex] ≅ [tex]$\overline{BG}$[/tex]

▢ [tex]$\overline{GE}$[/tex] bisects [tex]\displaystyle ∠DEF[/tex]

▢ [tex]$\overline{GA}$[/tex] bisects [tex]\displaystyle ∠BAF[/tex]

Step-by-step explanation:

As you can see, angles [tex]\displaystyle BAF[/tex] and [tex]\displaystyle DEF[/tex] form two half-kites, which you should know have two pairs of congruent sides, therefore segments [tex]\displaystyle GA[/tex] and [tex]\displaystyle GE[/tex] are what you call angle bisectours, which is why segments [tex]\displaystyle FG,[/tex] [tex]\displaystyle DG,[/tex] and [tex]\displaystyle BG[/tex] are congruent.

I am joyous to assist you at any time.

Answer:

$1.10

Step-by-step explanation:

order of $49 would result in a $7.35 shipping charge (49 x .15)

order of $50 would result in a $6.25 shipping charge (50 x .125)

difference is $1.10

The company will charge $1.1 for shipping on a $49 order than on a $50 order.

Given is a clothing company charges a 15% shipping fee on orders under $50 and a 12.5% shipping charge on orders of $50 or more.

Now, for $49, the shipping charge will be -

[x] = 15% of 49

[x] = (15/100) x 49

[x] = 7.35

now -

[y] = 12.5% of 50

[y] = (12.5/100) x 50

[y] = 6.25

Now -

[x] - [y] = 7.35 - 6.25 = $1.1

Therefore, the company will charge $1.1 for shipping on a $49 order than on a $50 order.

To solve more questions on equations, expressions and polynomials, visit the link below -

https://brainly.com/question/17421223

#SPJ2

Answer:

your answer is correct -7,-2

Step-by-step explanation:

Answer: the last one

Step-by-step explanation: the negitive sign gets switched

Step-by-step explanation:

Kl²=JL²-JK²=144-49=95

KL=√95

KL×KJ/2=JL×KM/2

KM=7√95/12

JM²=JK²-KM²

JM=49/12

answer : r = y - 28 / 12

explanation :

y - 28 = 12r

y - 28 / 12 = r

switch sides ^

r = y - 28 / 12

Answer:

X=4 and y=4

Step-by-step explanation:

Equate the corresponding coordinate and solves it simultaneously

Answer:

15

Step-by-step explanation:

15÷3=5

15 is between 10 and 20

Answer: 15

Step-by-step explanation: 15 can be divided by 3