1. Use your notes from the Work Backwards to prove activity to fill in the proof below that if the diagonals of a parallelogram are congruent, that
parallelogram must be a rectangle
Given: ABCD is a parallelogram with AB parallel to CD and AD parallel to BC Diagonal AC is congruent to diagonal BD
Prove: ABCD is a rectangle (angles A, B, C and D are right angles),
12
I know 1 is congruent to 2 because it's the same segment. I know _3 is congruent to _14 because it's given. I know
5 is congruent to_6 because _7 is a parallelogram (given) and opposite sides of a parallelogram are congruent
Because_8 is congruent to 9 10 is congruent to _11 and
is congruent to 13 _, by the Side-Side
Side Triangle Congruence Theorem triangles_14
and 15
are congruent. Angle_16_ is congruent to angle
_17_because they are corresponding parts of two congruent triangles Angles 18
and
19 are right angles
because they're congruent and supplementary (because they are adjacent angles in a parallelogram). Congruent supplementary angles
must be right angles. Opposite angles in a parallelogram are congruent, so if angles_20 and 21 are right angles, then
angles 22 and 23
must be, too. I know 24 is a rectangle because angles_25
26
27
and
28 are all right angles, and a quadrilateral with four right angle is a rectangle.

Answer:

The answer is 315 inches

Step-by-step explanation:

180+75%

Answer:315

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helped you!!

Answer:

y= 3x

Step-by-step explanation:

Because between each point your going up by 3

Hope this helps you

Answer:

y = 3x

Step-by-step explanation:

This is dealing with slope so think of it as rise over run

[tex]\frac{Rise}{Run}[/tex]

The y intercept is a 0 so you don't have to worry about adding a number after the plus symbol. You can if you want but that's not an option. You go up 3 over 1 and then you get to your next point.

Answer:

step by step

STEP

1

:

Equation at the end of step 1

((((3•(m3))+5m2)-5m)+1)

(———————————————————————•m)-1

3

STEP

2

:

Equation at the end of step

2

:

(((3m3+5m2)-5m)+1)

(——————————————————•m)-1

3

STEP

3

:

3m3 + 5m2 - 5m + 1

Simplify ——————————————————

3

Checking for a perfect cube :

3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 3m3 + 5m2 - 5m + 1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5m + 1

Group 2: 5m2 + 3m3

Pull out from each group separately :

Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)

Group 2: (3m + 5) • (m2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 8.00

-1 3 -0.33 3.11

1 1 1.00 4.00

1 3 0.33 0.00 3m - 1

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

3m3 + 5m2 - 5m + 1

can be divided with 3m - 1

Polynomial Long Division :

3.4 Polynomial Long Division

Dividing : 3m3 + 5m2 - 5m + 1

("Dividend")

By : 3m - 1 ("Divisor")

dividend 3m3 + 5m2 - 5m + 1

- divisor * m2 3m3 - m2

remainder 6m2 - 5m + 1

- divisor * 2m1 6m2 - 2m

remainder - 3m + 1

- divisor * -m0 - 3m + 1

remainder 0

Quotient : m2+2m-1 Remainder: 0

Trying to factor by splitting the middle term

3.5 Factoring m2+2m-1

The first term is, m2 its coefficient is 1 .

The middle term is, +2m its coefficient is 2 .

The last term, "the constant", is -1

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

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .

-1 + 1 = 0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

(m2 + 2m - 1) • (3m - 1)

(———————————————————————— • m) - 1

3

STEP

4

:

Equation at the end of step 4

m • (m2 + 2m - 1) • (3m - 1)

———————————————————————————— - 1

3

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

1 1 • 3

1 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m • (m2+2m-1) • (3m-1) - (3) 3m4 + 5m3 - 5m2 + m - 3

———————————————————————————— = ———————————————————————

3 3

Polynomial Roots Calculator :

5.3 Find roots (zeroes) of : F(m) = 3m4 + 5m3 - 5m2 + m - 3

See theory in step 3.3

In this case, the Leading Coefficient is 3 and the Trailing Constant is -3.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 -11.00

-1 3 -0.33 -4.04

-3 1 -3.00 57.00

1 1 1.00 1.00

1 3 0.33 -3.00

3 1 3.00 333.00

Polynomial Roots Calculator found no rational roots

Final result :

3m4 + 5m3 - 5m2 + m - 3

———————————————————————

3

Terms and topics

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Answer: 3.5

Step-by-step explanation:

y=(10)-6.5

Answer:

after a discount of 35% it would be $35.75

Step-by-step explanation:

hope this helped :D have a great day!

Answer:

1.

( n + 4 ) - 9

- n - 4 - 9

- n - 13

2.

40 = x - 1

- x = - 1 + 40

- x = 39

Step-by-step explanation:

I duno if this is right...

Answer:

25

I believe

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

since they are both negative, they both will add up to be -6

Answer:

3

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

20 times 5

Answer:

the answer is 54

Step-by-step explanation:

48 / 4 is 12, so then divide that by 2 so they split equally because theirs combined added to 48, so 6.

6 * 9 is 54

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

Answer:

the number 8

Step-by-step explanation:

Answer:

f(-2) = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 2

f(-2) is x = -2

Step 2: Evaluate

Answer    4

Step-by-step explanation:

3(-2)= -6

-6+2= -4

Answer:

Log7(1/49)=x  The first one

Step-by-step explanation:

I can't really explain how but hopeful this help

Answer:

1/9a

Step-by-step explanation:

i used math.way lm.ao hope it helps

Answer:

x > 19

Step-by-step explanation:

Answer:

m ≤ -19

Step-by-step explanation:

81 ≥ 100 - m

-100  -100

-19 ≥ m

or

m≤-19

hope this helps!!!

Answer:

1 hour=35+15=50

2 hours=35+15(2)=65

3 hours=35+15(3)=80

4 hours=35+15(4)=95

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is

s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:

[tex]s=5(\frac{\pi}{3})[/tex] so

[tex]s=\frac{5\pi}{3}[/tex] inches

Answer: Right and isosceles

Answer: (-7,3)

Step-by-step explanation:

Answer: [tex]\dfrac{7}{12}[/tex] .

Step-by-step explanation:

To find : Ratio of 0.14 quarts to 0.24 quarts.

In fraction it will be

[tex]\dfrac{\text{0.14 quarts}}{\text{0.24 quarts}}\\\\=\dfrac{14}{24}\ \ \ \ \\\\=\dfrac{7}{12}\ \ \ \ \ [\text{Divide numerator and denominator by 2}][/tex]

= 7:12

Hence, the required fraction = [tex]\dfrac{7}{12}[/tex] .

Answer:

1:4

Step-by-step explanation:

1/4

4/16 ->1/4

16/64-> 1/4

Answer:4 is the answer to all of this

Answer: I do believe its A.

Tho I advise you plug it into Midpoint Calculator (Free math website) just to be sure.

Happy Holidays and Good luck

Answer: w=−4

Step-by-step explanation:

hoped this helped

Answer:

94.248 feet

1,131.0 inches

94′ 3″ feet and inches

28.727 meters

2,872.7 centimeters

Step-by-step explanation:

Answer:     Tahat= 40.5 marks    Promi =29.5 marks,  Kabi =24.5 marks

Step-by-step explanation:

Step 1

Let the marks be represented as  x+11, x and x-5 for Tahat, Promi and Kabi respectively

and Tahat's marks which was 75% of the sum of Promi and Kabi's marks be expressed as

x+11 = 75/100(x + x-5)  

Step 2 --- Solving

x+11 = 75/100(x + x-5)  

x+ 11 = 3/4(2x-5)

x+11= 6x-15/4

4x+44=6x-15

44+15=2x

x= 59/2= 29.5,

A) x= Promi's  mark was 29.5

B)Promi secured 5 marks more than kabi

Therefore, Kabi's mark was 5 marks less than Promi

= x-5

29.5- 5= 24.5 marks

C)Promi secured 11 marks less than Tahat, Therefore Tahat marks were 11 marks more than Promi

x+11= 29.5 + 11= 40.5

Answer:

Angle 1 and angle 8

Angle 2 and angle 7

Step-by-step explanation:

Alternate exterior angles are angles positioned alternating each other along the transversal, where both angles are found outside the two parallel lines cut across by the transversal.

Thus from the diagram given, the following are alternate exterior angles that are congruent:

Angle 1 and angle 8

Angle 2 and angle 7