AB is parallel to DC.
AB = 5p DC = p DA = 2q-p
a) Find CB in terms of q and p.
Simplify your answer.
CB = 3p + 29
b) Pis the midpoint of AD.
AQ: QB = 2:3
Show that PQ is parallel to CB.
Please help im stuck on this questionnn

Answer:

4/25

Step-by-step explanation:

P(Y, Y) = 2/5 x 2/5

Answer:

there is a probable chance of 40% of picking up two yellows, but if you take one marble out, then 25% of picking up another one

Step-by-step explanation:

Answer:

80p2 - 180r2

20(4p²-9r²)

20(2p+3r)(2p-3r)

Answer:

20(2p - 3r)(2p + 3r)

Step-by-step explanation:

Given

80p² - 180r² ← factor out 20 from each term

= 20(4p² - 9r²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b)

4p² - 9r²

= (2p)² - (3r)² ← with a = 2p and b = 3r

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

Thus

80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form

Answer:

Step-by-step explanation:

5x + 4 = 0.5×38

5x + 4 = 19

5x = 19 - 4

5x = 15

 x = 3

Answer:

7-D)8[tex]u^{3} v^{6}[/tex]

8-B)[tex]u^{6} v^{9}[/tex]

Step-by-step explanation:

Hope this helps! :)

[tex] \huge \blue{\tt{Answer:}} [/tex]

Answer:

Area=36.66 cm^2

Step-by-step explanation:

First, you need the height.

Use the Pythagorean theorem:

hypotenuse^2=height^2+(1/2 base)^2  

It's one-half base because it's an equilateral triangle.

1/2 base =4.6

(9.2)^2-4.6^2=height^2

84.64-21.16=height^2

height^2=63.48

height=7.97

Area=(1/2)(base)(height)

Area=(1/2)(9.2)(7.97)=36.66 cm^2

Answer:

65.6% is the answer.........

Answer:

= 3r - 2

Step-by-step explanation:

would you like an explanation or are you fine!

Answer: 3 lessons

Step-by-step explanation:

Matt starts swimming lessons on Day 5.

He then goes to swimming lessons every 10 days. The dates he went on lessons are therefore:

First lesson = Day 5

Second lesson = Day 5 + 10 days = Day 15

Third lesson = Day 15 + 10 days = Day 25

Fourth lesson = Day 25 + 10 days= Day 35

He therefore only went for 3 lessons because the 4th lesson was after Day 30.

The radius of the circle will be √-18 and the center is ( -3,-5).

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

This equation is in what’s called general form. To convert to standard form (the form needed to graph: (x-h)²+(y-k)²), you would need to first put the x’s next to each other and the y’s next to each other and also put the 18 on the other side.

The radius of the circle will be calculated as below:-

1. x²+6x+y²+10y=-18

2. Complete the square: (b/2) x 2

(x²+6x+9)+(y²+10y+25)=-18

(x+3)²+(y+5)²= -18

Here the center coordinates are ( -3,-8) and the radius is √-18.

Therefore, the radius of the circle will be √-18 and the center is ( -3,-5).

To know more about circles follow

https://brainly.com/question/14150470

#SPJ2

Answer:

5

Step-by-step explanation:

45/9

Answer:

20....................

Answer:

Kerry should cut it into 1 1/3 pieces

Step-by-step explanation:

divide the total by the parts you want to get the length of a part

8/6=4/3

Answer:

He baked 448 on the second day

Step-by-step explanation:

Why because he Baked 224 on the 1st day 448 on the second day and 112 on the 3rd

Answer:

128 on the second day

Step-by-step explanation:

Answer:

51473829

Step-by-step explanation:

Answer:

Linear - 4

Quadratic - 1

Quartic - 3

Quintic - 2

Step-by-step explanation:

Answer:

The probability he will row a 4 is 1/6 or 0.16667 or 16%

Step-by-step explanation:

Answer:

She will get $21.58 back

Step-by-step explanation:

50 - 28.42 = 21.58

Hope this helps :)

Answer:

21.58

Step-by-step explanation:

50 - 28.42 = 21.58

Just subtract the two numbers to get the answer

Answer:

15.) -21f - 16

16.) 5s + 2t

Step-by-step explanation:

15.)

-12f - 16 - 9f (Distribute 4 through the parentheses)

-21f - 16 (Collect like-terms)

16.)

4s + 2t + s + s - s (Since two opposites add up to zero, remove them from the expression)

4s + 2t + s (Collect like terms)

Answer:

x - 4

Step-by-step explanation:

The volume V is calculated as

V = lbh

Given 2 of the dimensions

(x - 1)(x - 3) = x² - 4x + 3

Then the third dimension is found by dividing V(x) by x² - 4x + 3

Using long division

                                                 x      - 4

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

x² - 4x + 3        | x³   - 8x²    + 19x    - 12

                         x³   - 4x²     + 3x

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

                               - 4x²      + 16x    - 12

                               - 4x²      + 16x    - 12

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

                                                           0 ← remainder

Thus quotient = x - 4

That is the missing dimension is x - 4

Answer:

$216

Step-by-step explanation:

................

Area of room =(l*b)

=(3*8)m²= 24m²

Carpet needed = 24m²

Cost of 1m² carpet= $9

Cost of 24m² carpet= $(9*24)

= $216

Answer:

i think ur answer would be $243

Step-by-step explanation:

sorry if wrong

hope this helps

Answer:

7610 ÷ 50  and 0.761 ÷ 0.005

Step-by-step explanation:

761/5 is 152.2

7610 ÷ 50 = 152.2

762 ÷ 6 = 127

76.1 ÷ 0.05 = 1522

7.61 ÷ 0.5 = 15.22

0.761 ÷ 0.005 = 152.2

Answer:

12.30

Step-by-step explanation:

1.30x4=5.20

54.40-5.20=49.20

49.20/4= 12.30

Answer:

y=45+30x

Step-by-step explanation:

Answer:

B. 7/16

Step-by-step explanation:

The answer to this question is the option whose value is closest to 1/2.

We know that the fraction 1/2 is 0.5, now we have to get that fraction out of all these fractions that is closest to the value 0.5

10/12 = 0.833

7/16 = 0.43

2/9 = 0.222

1/8 = 0.125

The value closest to 0.5 is obviously 0.43 from the above. Therefore we can conclude that the fraction 7/16 is closets to 1/2 given these other fractions.

Thank you!

Answer:

3(x-y)

Step-by-step explanation:

Answer:

The answer is -

Number bond: 1 times 56 = 56.

Number bond: 4 times 14 = 56.

Number bond: 7 times 8 = 56.

Step-by-step explanation:

We can define a factor pair as a set of two factors, which, when multiplied together, give a particular product.

For example -

5 and 6 are factors of 30 because 5×6 = 30

Now,

Given -

Number bond: 1 times 56 = 56.                         ...................(1)

Number bond: 4 times 14 = 56.                         ...................(2)

Number bond: 5 times 6 = 56.                         ...................(3)

Number bond: 7 times 8 = 56.                         ...................(4)

In equation (1)

1 times 56 = 1×56 = 56

⇒1 and 56 are the factor pairs of 56

Satisfies

In equation (2)

4 times 14 = 4×14 = 56

⇒4 and 14 are factor pairs of 56

Satisfies

In equation (3)

5 times 6 = 5×6 = 30 ≠ 56

⇒5 and 6 are not factor pairs of 56

Not Satisfies

In equation (4)

7 times 8 = 7×8 = 56

⇒7 and 8 are factor pairs of 56

Satisfies

∴ we get

The answer is -

Number bond: 1 times 56 = 56.

Number bond: 4 times 14 = 56.

Number bond: 7 times 8 = 56.

Answer:

x = 11

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

so in order to solve this equation we need to know the value of x and to do that we need to look at our problem:

2x – 10 = 12

Now that we can see the problem the first thing we are going to do is segregate 2x in the equation by adding 10 to each side of the equal sign:

2x – 10 = 12

2x (– 10 + 10) = (12 + 10)

2x = 22

Now we are going to divide 2 from both sides of the equation to separate 2 from x:

2x = 12

2x/2 = 22/2

x = 11

Now we have to check our work by inserting 11 in place of x in the original equation :

2x – 10 = 12 or 2(11) - 10 = 12

2(11) - 10 = 12

22 - 10 = 12

12 = 12

SO the answer to the question: What is the solution of the equation 2x – 10 = 12? is x = 11.

Hope this helps you!!