PLEASE HELP!

Prove that the diagonals of a parallelogram bisect each other. The midpoints are the same point, so the diagonals ___


A. are perpendicular to each other

B. are parallel to each other

C. bisect each other

D. have the same slope

Answer:

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line

Answer:

a = 7

b = 3 1/2

Step-by-step explanation:

if you add the equations together then the 'b' will zero out

6a = 42

a = 7

substitute 7 for 'a' to solve for 'b'

3(7) - 2b = 14

21 - 2b = 14

-2b = -7

b = 7/2 or 3 1/2

Answer:

aa, ca, ac, cc

Step-by-step explanation:

Answer:

d) 4 + 7 - 2

Step-by-step explanation:

7 + 2 - 4 = 5

2 + 7 - 4 = 5

7 - 4 + 2 = 5

4 + 7 - 2 = 9

Answer:

Step-by-step explanation:

4+7=2

Answer:

65°

Step-by-step explanation:

Complementary angles add up to 90°. This means the measure of the other angle can be represented as

90° - 25°

or

65°

Step-by-step explanation:

4) a) add up to +5x

b) multiply to -14

5) x^2 - 4x + 3 = (x - 3)(x - 1)

Answer:

Step-by-step explanation:

Answer:

the number is 3

Step-by-step explanation:

X= the number

7(x+9) = 84

7x+63 = 84

7x = 21

x=3

     Check:

    7(3+9) =84

      7 x12 = 84

       84=84

Answer:

4

Step-by-step explanation:

2+2

=4

Answer:

The real answer

Step-by-step explanation:

Answer:

The team won 10 games.

Step-by-step explanation:

The statement indicates  that the football team played a total of 16 games, which means that  the total number of games they won, lost or tied is equal to 16 and you can express this as:

x+y+z=16, where:

x is the number of games the team won

y is the number of games the team lost

z is the number of games the team tied

As you know that they tied one game, it means that z=1:

x+y+1=16

x+y=16-1

x+y=15

Also, the statement says that they won twice as many games as they lost which means that the number of games they won is equal to two times the number of games they lost, which is:

x=2y

Now, you can replace x=2y in x+y=15 and solve for y:

2y+y=15

3y=15

y=15/3

y=5

Finally, you can replace the value of y in x=2y in order to find the value of x:

x=2(5)

x=10

According to this, the answer is that the team won 10 games.

Answer:

[tex]\{5,8\}[/tex] is a subset of [tex]\{2,5,8\}[/tex]

Step-by-step explanation:

Required

Difference between subset and proper subset

To answer this question, I will use the following illustration.

[tex]A = \{1,2,3\}[/tex]

[tex]B = \{2,3\}[/tex]

[tex]C = \{1,2,3\}[/tex]

In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.

Set C is a subset of A because [tex]A = C[/tex]

Using the above illustration, we have:

[tex]\{5,8\}[/tex] and [tex]\{2,5,8\}[/tex]

[tex]\{5,8\}[/tex] is a subset of [tex]\{2,5,8\}[/tex], because 5 and 8 are in [tex]\{2,5,8\}[/tex] but 2 which ca be found in [tex]\{2,5,8\}[/tex] is not in [tex]\{5,8\}[/tex]

Answer:

i have explained in this picture

Step-by-step explanation:

Answer:

A.

C.

Step-by-step explanation:

the shape is a 2d shape and is a polygon as a polygon needs at least 3 straight sides

Answer:

3670

Step-by-step explanation:

In 1000, there are 3 zeroes

So when multiplying by 3.67(or 3.670), you just move the decimal 3 places to the right

3.670 =36.70 = 367.0 = 3670.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

its A just got it right

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

Just enter the equation into desmos and then find where the line meets the y-axis, which is the line that comes down the middle.

Answer:

[tex]X = \sqrt{39}[/tex]

Step-by-step explanation:

[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]

[tex]2)\ Y^2 + 6^2 = 10^2[/tex]

[tex]3)\ X^2 + 25 + 36 = 100[/tex]

[tex]4)\ X^2 = 39[/tex]

[tex]5)\ X = \sqrt{39}[/tex]

Answer:

X = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

Answer:

my first thought was B but C has 2 similarities in 2 answered B is 4 D is 7.5, but C has a 4 and a .5 so try C

Answer:

Option C, 4.5

Step-by-step explanation:

We can say that;

8/6 = 6/x

=> [tex]\frac{8}{6} x=6\\[/tex]

=> x = [tex]\frac{6}{(8/6)}[/tex]

=> x = 4.5

Hope this helps!

Answer: C: x = 1/2

Step-by-step explanation:

The solution is , O c. 1/2 must be a root of the polynomial 2x² +9x-5.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here we have this:

Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:

Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:

2x-1=0

2x=1

x=1/2

and, we have,

x+5=0

x=-5

Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option C.

Hence, The solution is , O c. 1/2 must be a root of the polynomial

2x² +9x-5.

Know more about Polynomials here:

brainly.com/question/2833285

#SPJ7

Answer:

the answer's option 3 * landslide *

Step-by-step explanation:

-

Answer:

Option 3

Step-by-step explanation:

A landslide is the most occurring disaster for people living in hills

Hope it helps

Answer: linear

Step-by-step explanation

Answer:

first option

Step-by-step explanation:

have a good day

Answer:

x = 8b + 3

Step-by-step explanation:

BRAINLIST PLZ

Answer:

x = 8b + 3

Step-by-step explanation:

x = 8b + 3

You can kick "b" balls in 2 minutes. There are 8 two-minute intervals in 16. So 8 is multiplied by "b" soccer balls. 3 is the extra number of balls kicked after the break. x is the total number of soccer balls kicked.

Answer:

15 cabins will be needed

3 ......................

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]2 + 1 \\ = (1 + 1) + 1 \\ = 1 + 1 + 1 \\ = 3[/tex]