James is writing a coordinate proof involving a parallelogram. Knowing that the opposite sides of a parallelogram are congruent, James places his parallelogram on the coordinate plane such that one vertex is at the origin and one side lies along the x-axis.

What coordinates should he assign to the fourth vertex of the parallelogram?

A. (2a, a)

B. (2a, a2)

C. (a2, 0)

D. (2a, 2a)

Answer:

i think the answer is B

Step-by-step explanation:

SORRY if I'm incorrect

Answer:

its 5/4 or 5:4

Step-by-step explanation:

Answer:

A. C(2,-2) , D(-1,-2)

●●●●●●●●●●●●●●●●●

if you solve using subsitution, the point form would be (2,1) and the equation form = 2, y=1

Answer:

x = -2

y = -23

(x, y) --> ( -2, -23)

Step-by-step explanation:

y = 6x - 11

-2x - 3y = -7

***What you need to do is substitute the "y" with what has been given to us which is "6x - 11"***

-2x - 3(6x - 11) = -7

Now what you need to do, is use the distributive property (multiply what is in the parenthesis "6x - 11" by what is outside of it "3").

-3 × 6x and -3 × -11

-18x and 33

Now we have......

-2x - 18x + 33 = -7

Now we can combine like terms (put the numbers that are the same together - variables with variables, and whole numbers with whole numbers)

-2x - 18x = -20x (2 negatives added together gives u a result of a bigger negative number)

-20x + 33 = -7

Now we need to subtract 33 on both sides

-20x + 33 - 33 = -7 - 33

-20x = -40

Now we need to divide by -20 on both sides to isolate the variable

-20x ÷ -20 = -40 ÷ 20

x = -2

Now that we have what "x" is, we can use that to find what "y" is....

y = 6x - 11

Substitute the "x" with the answer we got "-2".

y = 6(-2) - 11

y = -12 - 11

y = -23

x = -2

y = -23

Now we can check our work

y = 6x - 11

All we need to do is substitute the "x" and "y" with the answer we got above.

y = 6x - 11

-23 = 6(-2) - 11

-23 = -12 - 11

-23 = -23

CORRECT

So now that we checked our work, and saw that it was correct, I can hereby say that x is -2 and y is -23

x = -2

y = -23

(x, y) --> ( -2, -23)

Hope this helped!!!

Answer:

-30

Step-by-step explanation:

substitute the values and get -30

Answer:

18 units

Step-by-step explanation:

A picture of what it would look like is at the bottom.

You know that the legs are equal because it's isosceles, so AB = AC. This means:

[tex]4x - 14 = x + 10\\3x - 14 = 10\\3x = 24\\x = 8[/tex]

using the rules of solving an equation.

The length of one leg is:

[tex]x + 10\\8 + 10\\18[/tex]

Answer:

It may be C or D

I think its C.

Sorry if I'm wrong.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

let the number be n then increasing - 7 by n is - 7 + n and

- 7 + n = 12 ( add 7 to both sides )

n = 19

Answer:

1219 square feet

Step-by-step explanation:

cause

answer:

b) reduction

good luck :)

hopefully, this helps

have a nice day !!

Answer:

1 : 4

Step-by-step explanation:

half litre = 500 ml

Milk : water = 125 : 500

                   = 125 ÷ 25  : 500÷25

                   = 5 : 20

                    = 1 : 4

Answer:

380cm

Step-by-step explanation:

i really hope thats right!

Answer:

X=6

Step-by-step explanation:

THE answer IS :X=6

HOPE IT HELPED

Answer:

Step-by-step explanation:

The answer is 570 because if you multiply 38 times 15 = 570 so it is 570. Thank you for answering to hope this helps you if you need more help contact me!

Answer:

$5.70

Step-by-step explanation:

Since it is 15% to make it a decimal you would move the decimal 2 places to the left to make it 0.15 and then multiply like this 38(.15) which is 5.7. So, shipping and handling is $5.70.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]1\ can = 2.2m^2[/tex]

Required

Determine the number of cans for the wall

The dimension of the wall is not given. So, I will use the following assumed values:

[tex]Length=20m[/tex]

[tex]Width = 44m[/tex]

First, calculate the area of the wall

[tex]Area = Length * Width[/tex]

[tex]Area = 20m * 44m[/tex]

[tex]Area = 880m^2[/tex]

If [tex]1\ can = 2.2m^2[/tex]

Then [tex]x = 880m^2[/tex]

Cross Multiply:

[tex]x * 2.2m^2 = 1 * 880m^2[/tex]

[tex]x * 2.2m^2 = 880m^2[/tex]

[tex]x * 2.2 = 880[/tex]

Make x the subject

[tex]x = \frac{880}{2.2}[/tex]

[tex]x = 400[/tex]

400 cans using the assume dimensions.

So, all you need to to is, get the original values and follow the same steps

Answer:

Area of the shaded region = (8x + 6)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the smaller rectangle

Area of the large rectangle = Length × width

                                             = (x + 3)(x + 2)

                                             = x(x + 2) + 3(x + 2)

                                             = x² + 2x + 3x + 6

                                             = x² + 5x + 6

Area of the smaller rectangle = x(x - 3)

                                                 = (x² - 3x)

Area of the shaded region = (x² + 5x + 6) - (x² - 3x)

                                            = x² + 5x + 6 - x² + 3x

                                            = (8x + 6)

Answer:

both are true

Step-by-step explanation:

have a great day

Answer:

a) OP:RT = 10:3

b) OQ = 15 cm

c) m<P = [tex]60^{o}[/tex]

d) m<Q = [tex]94^{o}[/tex]

Step-by-step explanation:

Given that: ΔOPQ is similar to ΔRTS

Then;

a) OP:RT = 12:3.6

                 = [tex]\frac{120}{36}[/tex]

                = [tex]\frac{10}{3}[/tex]

                = 10:3

The ratio of OP to RT is 10:3.

b) The measure of length OQ = [tex]\frac{10}{3}[/tex] x 4.5

                                 = 15 cm

c) m<P ≅ m<T

So that,

m<P = [tex]60^{o}[/tex]

d) m<Q ≅ m<S

But,

26 + 60 + m<S = 180 (sum of angles in a triangle)

86 + m<S = 180

m<S = 180 - (86)

        = [tex]94^{o}[/tex]

Thus,

m<Q = [tex]94^{o}[/tex]

Answer:

Step-by-step explanation:

Measure of RST-- 79*

Measure of angle VWT-- 33*

Measure of angle STR--  68*

Answer:

2 + y

Step-by-step explanation:

all you must do is add y to 2

Answer:

Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

Answer: its the first one "opposite sides with equal length"

Answer:

2/12

Step-by-step explanation:

7/12 -5/12 = 2/12

the number 2 can go into 2 once and 12 six times so you should get 1/6 as your answer

Answer:

6.64 :)

Step-by-step explanation:

83/x = 100%/8%/

Reciprocal is x/83 = 8/100. Cross multiply we get 6.64 :)!

Answer:

Pretty sure it's B!

Step-by-step explanation:

Over the Y axis- (2,1)

To the left two times= (0,1)

Hope this helped!

Answer:

(0,1)

Step-by-step explanation:

Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)

Answer:

102.6296

Step-by-step explanation:

It's just the formula (pi)(r^2)

Answer:

the missing side T-F is 8. the missing side F-K is 3.

Step-by-step explanation:

hope I helped

Answer:

(SR*ST)+(FK*KL)=66cm²

Step-by-step explanation:

RL=ST+F K

9= 6+x

F K=3

T F=8

Area of this figure= (3*2)+(6*10)

=6+60=66 cm²

Answer:

type of music listened to on the radio

Answer:

Step-by-step explanation:

Let us represent

Boxed candles = x

Bag of chips = y

Rafael got 3 boxed candies and 1 bag of chips for $6.99.

3x + y = 6.99....Equation1

His sister got 2 bags of chips and 1 boxed candy for $5.98.

x + 2y = 5.98......Equation 2

Find the cost for 1 of each of these items in dollars.