are the triangles congruent ? if they are state how they are congruent .

Answer:

Perimeter: perimeter = (12 x 2) + (x-2 times 2)

Area: 12 x (x-2)

Step-by-step explanation:

I hope im right im only in grade 6 so wouldnt  trust me with that :/  

Answer: I don’t have a number line, but...

Step-by-step explanation:

If you add -1 to any number, you lose one, right?

So, do that five times, and use the properties to show that there is no difference between them.

Answer:

16-g=x

Step-by-step explanation:

You know you need to subtract because it says ate out of. Next you don't know how many gumdrops Logan ate so they gave a the variable g. Since you don't know how many gumdrops he ate you don't know how many are left. You need another variable to represent how many gumdrops are left.

Answer:

75°

Step-by-step explanation:

m∠W = m∠Z = 180° - 105° = 75°

Answer:

75°

Step-by-step explanation:

Answer:

No she isn't. The value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]

Step-by-step explanation:

We know that all quadratic equation can be written in the following way :

[tex]y=ax^{2}+bx+c[/tex] (I)

Where [tex]a,b[/tex] and [tex]c[/tex] are real numbers.

I will attach a drawing with the quadratic graph to understand the situation.

We know by looking at the drawing and analyzing it that the parabola passes through the points : [tex](0,0) ; (60,80)[/tex] and [tex](120,0)[/tex]

[tex](0,0)[/tex] because we put our coordinates origin there.

[tex](120,0)[/tex] because that's where the golf hole is.

And [tex](60,80)[/tex] because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).

Finally, we work with the three points and the equation (I) in order to find the values of [tex]a,b[/tex] and [tex]c[/tex] ⇒

The parabola passes through [tex](0,0)[/tex] ⇒

[tex]y=ax^{2}+bx+c[/tex] ⇒

[tex]0=a(0)^{2}+b(0)+c[/tex] ⇒ [tex]c=0[/tex]

The parabola passes through [tex](60,80)[/tex] ⇒

[tex]80=a(60)^{2}+b(60)[/tex] ⇒

[tex]80=3600a+60b[/tex] (II)

The parabola passes through [tex](120,0)[/tex] ⇒

[tex]0=a(120)^{2}+b(120)[/tex] ⇒

[tex]0=14400a+120b[/tex]

[tex]120b=-14400a[/tex]

[tex]b=-120a[/tex] (III)

Now if we use (III) in (II) ⇒

[tex]80=3600a+60(-120a)[/tex]

[tex]80=3600a-7200a[/tex]

[tex]3600a=-80[/tex]

[tex]a=-\frac{1}{45}[/tex]    ⇒ [tex]b=\frac{8}{3}[/tex]

Finally the equation of the parabola is

[tex]y=-\frac{x^{2}}{45}+\frac{8}{3}x[/tex]

Where the value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]

Answer: $5

Step-by-step explanation: 4 children divided by 20 equals 5

Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation:

Answer:162

Step-by-step explanation:

162

Answer:

Shoes with discount = $17

Necklace = Price * 0.85

Step-by-step explanation:

-If the tennis shoes store sells other things than shoes-

Shoes = $20.00

Discount = 15%

*Price expressed as a percentage*

Price without discount = 100%

Price after discount = 100% - 15%

Price after discount = 85%

*Normal price*

Price without discount = 20

Price after discount = 20 * 0.85

Price after discount = 17

You could say "7328 dollars and 42 cents", but the shorter format is preferred in my opinion.

====================================

Work Shown:

A = P*e^(r*t)

A = 6000*e^(0.04*5)

A = 7328.41654896153

A = 7328.42

The symbol 'e' is a special number in math similar to how pi = 3.14 is another important symbol. If your calculator doesn't have a button labeled 'e', then replace 'e' with 2.718 to use its approximation.

Answer: I think it's 12

Answer:

64

Step-by-step explanation:

Multipy 80 by 80% or 0.80 to find the new population of 20% less

Answer:

255.5 minutes or 255 minutes and 30 seconds

Step-by-step explanation:

146 pages/ x minutes

20 pages/ 35 minutes

All you have to do is cross-multiply to find the answer.

146x35= 5110

5110/20=x

5110/20= 255.5

x= 255.5

Answer:

3kg 700g

hope it helps:-) :-)

Answer:

greater number is 8 lesser number is 3

Step-by-step explanation:

So, we have f / -(2/3) = -(1/3), right?

Well, this means that f = -(1/3) * -(2/3) = positive 2/9 !

Your answer is f = 2/9 :)

Answer:

F = 2/9

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b/2a

in our case

y=x^2+2

a=1 b=0 c=2

so x=-b/2a=-0/2*1=0

x=0 is axis of symmetry

Answer:

Step-by-step explanation:

20 Min=30% complete

40 min=60% complete

60 min (1 hr)= 90% complete

67 min=100% complete

Answer: The larger piece is 16 inches

Step-by-step explanation: Median of a triangle is a line segment uniting a vertex and the midpoint of the opposite side. A triangle has 3 medians and the point where these 3 intersect is called centroid.

The ratio of one median is 2:1, which means the line segment is divides by the centroid into two parts, one the double of the other. So:

2x + x = 24

3x = 24

x = 8

Then, the larger piece is

2x = 2(8) = 16

The larger part of the median measuring 24 inches is 16 inches

Answer:

The coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280

Step-by-step explanation:

Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;

1  7  21  35  35  21  7  1

Thus;

[tex](x - 2y)^{7}[/tex] = 1. [tex]x^{7}[/tex] + 7.[tex]x^{6}[/tex](-2y) + 21.[tex]x^{5}[/tex][tex](-2y)^{2}[/tex] + 35.[tex]x^{4}[/tex][tex](-2y)^{3}[/tex] + 35.[tex]x^{3}[/tex][tex](-2y)^{4}[/tex] + 21.[tex]x^{2}[/tex][tex](-2y)^{5}[/tex] + 7.x[tex](-2y)^{6}[/tex] + [tex](-2y)^{7}[/tex]

        = [tex]x^{7}[/tex] -14[tex]x^{6}[/tex]y +84[tex]x^{5}[/tex][tex]y^{2}[/tex] -280[tex]x^{4}[/tex][tex]y^{3}[/tex] + 560[tex]x^{3}[/tex][tex]y^{4}[/tex] - 672[tex]x^{2}[/tex][tex]y^{5}[/tex] + + 448x[tex]y^{6}[/tex] - 128[tex]y^{7}[/tex]

Therefore, the coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280

Answer:

Write 6.384 correct to 1 decimal place ?=6

Answer:

6.4

Step-by-step explanation:

Rounding 6.384 to one decimal place would be the same as rounding it to the nearest tenth. The tenth in this number is 3. To round a number up, look at the number to the right of it - if the number is 5 or greater, then you increase the value of the number you're rounding by 1. If the number to the right of it is 4 or less, then the value of the number you're rounding stays the same.

In this case, the number we're rounding is 3 and the number to the right of it is 8. Since 8 is greater than 5, we have to increase the value of 3 by 1, which means that the number in the tenths position is now 4.

The number rounded to one decimal place is 6.4.

Answer:

2 i think

Step-by-step explanation:

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

Hope this helped

Answer:

They get .83 cup per.

Step-by-step explanation:

Divide 6 by 5. So do 6 / 5, which gets you 0.833333333

Answer: 20a + 20b

Step-by-step explanation:

Combine the like terms.

13b + 7b = 20b

7a + 13a = 20a

Our answer to the question is 20a + 20b.

Answer:

100+25m=700

Step-by-step explanation:

i just took a good guess so don't trust it :)

Answer: 700/25=28

28x25=700               28 months

Step-by-step explanation:

since he saves $25 per month you have to divide 700 and 25 and you get 28

if You aren’t sure Its right then multiply 25 and 28 and you get 700

Answer:

800.00

Step-by-step explanation:

so you give me a hint that was for every 16.00 it was 1000.00

i did 16x50=800

i got 50 from 50 in 50000 and the 16 from 16.00 so then i times 16 from 50 which is 800