If a rectangle is 10 units wide and x units long what is the perimeter of this rectangle

Drawing the diagonal [tex]\overline {AC}[/tex] of the parallelogram makes the proof of the

congruency of opposite sides of a parallelogram clearer.

[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] and [tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] by ASA rule of congruency

Reasons:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                                 Reasons

ABCD is a parallelogram  [tex]{}[/tex]        Given

∠BAC ≅ ∠DCA  [tex]{}[/tex]                        Alternate interior angles theorem

∠BCA ≅ ∠DAC  [tex]{}[/tex]                        Alternate interior angles theorem

[tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex]   [tex]{}[/tex]                                 Reflexive property

ΔABC ≅ ΔACD    [tex]{}[/tex]                       ASA rule of congruency

[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                 CPCTC

[tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex]   [tex]{}[/tex]                                 CPCTC

Therefore, segment [tex]\overline {AB}[/tex] and segment [tex]\overline {CB}[/tex]  in ΔABC are congruent to

segment [tex]\overline {CD}[/tex] and segment [tex]\overline {DA}[/tex] in ΔACD by Angle-Side-Angle, ASA, rule of

congruency.

CPCTC stands for Congruent Part of Congruent Triangle are Congruent

Learn more here:

Answer:

19

Step-by-step explanation:

First get rid of the brackets:

[tex]2u + 12 - 8 > 3u - 15[/tex]

Then simplify:

[tex]2u + 4 > 3u - 15[/tex]

Get all the u's on one side:

[tex]2u - 3u > - 15 - 4[/tex]

Simplify and find u:

[tex] - u > - 19[/tex]

[tex]u < 19[/tex]

Answer:

5/6 hour = 5/6 × 60 = 300/6 = 50 minutes

8 tasks in 50 minutes

1 task = 50/8 = 6 1/4 minutes

a. robot completes task in 6 1/4 minutes

b. #tasks per hour =

#of tasks × time takes to do task < or = 60

n × 6.25 = 60

6.25n = 60.

n= 60/6.25 = 9.6

robot can complete 9 tasks in one hour

Step-by-step explanation:

Answer:

its always C trush me

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

Hello the answer is - 4

Step-by-step explanation:

[tex]9 = - 3 - 3r \\ 9 + 3 = - 3r \\ - 3r = 12 \\ r = \frac{12}{ - 3} = - 4[/tex]

Answer:

-4

Step-by-step explanation:

-3r-3=9

9+3=-3r

12=-3r

12/-3=-3/-3r

-4=r

9514 1404 393

Answer:

  (-5, -5)

Step-by-step explanation:

After adding (-1, -2) to the coordinates, the image point is ...

  (-4, -3) +(-1, -2) = (-5, -5)

Step-by-step explanation:

By elimination method,

x+y=15

-x+y=5

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

2y=20

i.e y=10

Now,

x+y=15

or, x+10=15

or, x=5

Answer:

first one: 5/8

second one; 1/2

third one 2/7

fourth one 3/14

fifth one 1/11

I hope this is good enough:

Answer:

8.525

Step-by-step explanation:

Answer:

f(-2) = -3

Step-by-step explanation:

[tex]f(x)=-\frac{1}{2} x^{2} +x+1[/tex]

Just plug in x = -2

[tex]f(-2)=-\frac{1}{2} (-2)^{2} -2+1[/tex]

[tex]f(-2)=-\frac{1}{2} (4) -1[/tex]

4 can be rewritten as [tex]\frac{4}{1}[/tex] or [tex]\frac{8}{2}[/tex] so it has a common denominator.

[tex]f(-2)=-\frac{1}{2} * \frac{8}{2} -1[/tex]

[tex]f(-2)=-\frac{4}{2} -1[/tex]

[tex]f(-2)=-2-1[/tex]

[tex]f(-2)=-3[/tex]

Answer:

68

Step-by-step explanation:

LM   +    MN     =   LN

x + 7  + 3x + 20 = 6x - 5

           4x + 27 = 6x - 5

          -4x         -4x      

                   27 = 2x - 5

                    +5        +5

                   32  = 2x

                   ÷2   ÷2    

                    16 = x

MN: 3x + 20

      3(16) + 20

        48   + 20

              68

Answer:

9 out of 16 chances three red marbles are gonna come out

We are given the equation:

DA - 2qA = B³

Taking 'A' common on the LHS

A(D - 2q) = B³

Dividing both sides by (D - 2q)

A = B³ / (D - 2q)

Answer:

9 students

Step-by-step explanation:

because 15x 3 = 45 so 12x3= 36 so 45-36= 9 Can i be branliest

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

no islamic state propaganda in my country

Step-by-step explanation:

Answer:

Denominator for 2/5 is 5, and denominator for 13/16 is 16.

Answer:

Step-by-step explanation: the answer is x= 3[tex]\sqrt{5}[/tex] +5, -3 [tex]\sqrt{5}[/tex] +5

Answer:

47%

Step-by-step explanation:

Answer:

0.47 = 47%

Hope this helps!

Answer:

Answer should be $4242.5

Step-by-step explanation:

Im doing the same thing

Answer:

Step-by-step explanation:

sin(x)=cos(x) × tan(x)

=(-2√23)×(√24)

=(-2√23)×(2√6)

=(-4√138)

=(-4(2√(3×23)))

=(-8√69)

(₋4)²

how i got it -

1st i used the sum-product pattern

x² - 8x + 16

x² -4-4+16

then, found the common fact from the two pairs

x² - 4 - 4 + 16

(-4) - 4(-4)

rewrite in factored form

(x-4)-4(-4)

(-4) (-4)

combine to a square

(-4) (-4)

Answer:

x=4*

Step-by-step explanation:

*THIS IS ASSUMING THAT THIS EQUATION IS EQUAL TO ZERO

X^2-8x+16=0

Let's solve this equation by factoring. First, we need to find factors of 16 that add to -8. We find that those factors are -4 and -4. X^2 is simply x times x.

Therefore, when it is factored It should look like this:

(x-4)(x-4)=0

Now we take both factors and set them equal to zero:

x-4=0; x-4=0

In both of these equations we just need to add 4 to both sides.

x=4; x=4

x=4

HTH :)

Answer:

i think 20 is above 12 and 17 under 30 and 36 is on top of 20 the rule is .50(x) +2

Answer:

Step-by-step explanation:

c = 0.5t + 2

12 = 0.5t + 2 ⇒ 0.5t = 10 ⇒ t = 20

c = 0.5(30)  + 2 ⇒ c = 17

20 = 0.5t + 2 ⇒ 0.5t = 18 ⇒ t = 36

Answer:

your right

Step-by-step explanation:

Answer:

The value of x is 5.

Step-by-step explanation:

In a square, all sides are equal so you can compare the expressions to solve x :

[tex]4x - 2 = 2x + 8[/tex]

[tex]4x - 2x = 8 + 2[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

Answer:

B

Step-by-step explanation:

edg 2021

Answer: b

Step-by-step explanation: