from 500 to 645 what is the percent increase

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Answer:

22

Step-by-step explanation:

11 x 2 = 22

22 teams played

Answer:

I think you are asking for the price Robert paid after the 30% off. There are two ways to do this. The first way is to find 30% of the full price and substract it from the full price or we could find 70% of the full price.

Lets make x the new price.

Step-by-step explanation:

First way:

x = 79.95 - (79.95 x 0.30)

x = 79.95 - 23.985

x = 55.965

(we round to the hundredth)

x = 55.97

Second way:

x = 79.95 x 0.70

x = 55.965

(we round to the hundredth)

x = 55.97

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1) Go...

[tex] - 4x = - x + 3[/tex]

Add sides x

[tex]x - 4x = x - x + 3[/tex]

[tex] - 3x = 3[/tex]

Divide sides by - 3

[tex] \frac{ - 3x}{ - 3} = \frac{3}{ - 3} \\ [/tex]

[tex]x = - 1[/tex]

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2) Go...

[tex] - 3x = 5x + 8[/tex]

Subtract sides 5x

[tex] - 5x - 3x = - 5x + 5x + 8[/tex]

[tex] - 8x = 8[/tex]

Divide sides by - 8

[tex] \frac{ - 8x}{ - 8} = \frac{8}{ - 8} \\ [/tex]

[tex]x = - 1[/tex]

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3) Go...

[tex] - 5x = 3x + 16[/tex]

Subtract sides 3x

[tex] - 3x - 5x = - 3x + 3x + 16[/tex]

[tex] - 8x = 16[/tex]

Divide sides by - 8

[tex] \frac{ - 8x}{ - 8} = \frac{16}{ - 8} \\ [/tex]

[tex]x = - 2[/tex]

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4) Go...

[tex] - 5x = - 2x + 6[/tex]

Add sides 2x

[tex]2x - 5x = 2x - 2x + 6[/tex]

[tex] - 3x = 6[/tex]

Divide sides - 3

[tex] \frac{ - 3x}{ - 3} = \frac{6}{ - 3} \\ [/tex]

[tex]x = - 2[/tex]

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5) Go...

[tex] - 5x = 2x - 28[/tex]

Subtract sides 2x

[tex] - 2x - 5x = - 2x + 2x - 28[/tex]

[tex] - 7x = - 28[/tex]

Negatives simplifies

[tex]7x = 28[/tex]

[tex] \frac{7x}{7} = \frac{28}{7} \\ [/tex]

[tex]x = 4[/tex]

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Answer:

SAS since only one angle, the right angles are congruent on them. Two sides are marked congruent to each of their corresponding sides so it is side angle side.

Step-by-step explanation:

Answer:

$525.62

$13,244.64

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = principal = $24,600

r = interest rate = 7.2% = 0.072

n = number of periods = 12

t = time = 6 years

A = P(1 + r/n)^nt

= 24,600(1 + 0.072/12)^12*6

= 24,600(1 + 0.006)^72

= 24,600(1.006)^72

= 24,600(1.5384)

= 37,844.64

12 months × 6 years = 72 months

Each monthly payment = Total payment / number of months

= $37,844.64 / 72

= $525.62

Total amount of interest = Total payment - Principal payment

= $37,844.64 - $24,600

= $13,244.64

Answer:

The history of irrational numbers, The discovery of irrational numbers is usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction. However Pythagoras believed in the absoluteness of numbers, and could not accept the existence of irrational numbers. He could not disprove their existence through logic, but his beliefs would not accept the existence of irrational numbers and so he sentenced Hippasus to death by drowning. Irrational numbers are important because without it we wouldn't have the continuum of real numbers which would make geometry impossible to do in life.

Step-by-step explanation:

Answer:

Expression

Step-by-step explanation:

The definition of an Algebraic Expression is this:

Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.

It can not be an Algebraic Equation because that only includes one variable.

I Hope That This Helps! :)

Answer:

x=−5

Step-by-step explanation:

calculator

Answer:

It will take 135 minutes or 2 hours and 15 minutes

Step-by-step explanation:

What we need here is to get the total

amount in pounds of turkey to be cooked

each person eats 3/8 pound servings

Total pound per person would be 3/8 * 2 = 3/4 pound servings

From what we have, there are 15 people at the dinner,

The total pounds to cook will be

15 * 3/4 = 45/4 pounds

Per pound of turkey, it takes 12 minutes

For 45/4 pounds, it will take

45/4 * 12 = 135 minutes

Let us convert this to hours

That will be 2 hours and 15 minutes

y=-3x-1

Is your answer if thats how you need it.

Answer:

8:50

Step-by-step explanation:

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Sum of the interior angles of any triangle is 180° .

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Thus ;

[tex]In \: \: ∆ DEF→D + E + F = 180° \\ [/tex]

[tex]D + 77° + 31° = 180°[/tex]

[tex]D + 108° = 180°[/tex]

Subtract sides 108°

[tex]D + 108° - 108° = 180° - 108° \\ [/tex]

[tex]D = 72°[/tex]

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The correct answer is Option four .

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Answer:

x = 8

Step-by-step explanation:

Ratios can be expressed in fractions as well

x:4 = ˣ⁄₄

so we can solve this using fractions

x:4 = 16:x

ˣ⁄₄ = ¹⁶⁄ₓ

x² = 64

x = 8

Answer: 1.67 feet in 1 second

Step-by-step explanation: To find out how far the penguin walked in 1 second, you’ll have to divide 10 by 6 or use the ratio 10 : 6 and divide. You should get a final answer or result of 1.67 feet in 1 second.

*Tip: If you want to make sure your answer is correct, simply multiply your answer times 6, and see if it equals to 10 or is near 10.

Answer:

5/3 ft

Step-by-step explanation:

10 ft = 6s

x ft = 1s

cross multiply

10ft × 1s = 6s × x

{divide both sides by The coefficient of x (6x) }

(10 ft × s) ÷ 6s= x

10 ft ÷ 6 = x

5/3 ft = x

x = 5/3 ft

Answer:

7/5

Step-by-step explanation:

The slope equation is y2 - y1/x2 - x1

Answer:

7/5

Step-by-step explanation:

Use slope formula:

m = (6 - 13)/(3 - 8) = -7/ -5 = 7/5

Hope this helps!

Answer:

Yes

Step-by-step explanation:

2 pennies and 3 dimes = 60 cents

I penny = 1 cent

1 dime = 10 cents

Answer:

Work shown below!

Step-by-step explanation:

[tex](2x^{2} -4xy+2y^{2})(3x-4)=6x^{3}-8x^{2}-12x^{2}y+16xy+6xy^{2}-8y^{2}[/tex]

Answer:

(-2,0)

Step-by-step explanation:

intercepts at (-2,0) horizontally. look at the graph

Answer:

The y-intercept is -5

G.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, which in this case is at -5.

First, we need to find how much Beatrice earns each month, so you need to find the difference between the two- and four-month amount and divide by 2, which gives you 150. So, we know she gets 150 dollars each month. Multiply that by two to get 300, and subtract that from 850 to see how much she was awarded in the beginning, which was 550. So, the answer is G.

Answer:

8 Shampoo Concentrate

Step-by-step explanation:

There's a ratio of 9:2 so for every 9 cups of water there's two cups of shampoo concrete.

We'll need 9 multiplied by 4 is 36

so we need to multiply 2 with 4

4 multiplied by 2 is 8

Answer:

8. is the answer

Step-by-step explanation:

Answer:

3n^4(n-3)(n-8)

Step-by-step explanation:

Always factor out the GCF which is 3n^4

This leaves you with (n^2-11n+24)

Factor that out and then you get (n-3)(n-8)

If c is positive then there are like signs; if negative then opposite

if b is positive then the signs are positive; if negative then the larger number will be the sign that b has.

Answer:

If you didn't know what the question was, here is the translation:

The ethanol density is 0.79 gr / ml. Calculate the mass of ethanol 25.7 ml of ethanol.

Answer: x <4

Step-by-step explanation: Divide each term by 4 then simplify.

Answer:

x <4

Step by step explanation:

Answer:

4x+y=−3

Step-by-step explanation:

simplify −4(x+2).

Apply the distributive property.

y−5=−4x-4⋅2

Multiply −4 by 2.

y−5=  --4x−8

Move all terms containing variables to the left side of the equation.

4x+y=−3

Answer:

I will try and give you the answer

Answer:

[tex]13x^{2}[/tex]-20x+8

Step-by-step explanation:

Step 1: rearrange the equation

16x^2 - 3x^2 - 7x - 13x +8

Step 2: solve the equation

16x^2 - 3x^2 = 13x^2

-7x - 13x = -20x

(the +8 will stay the same)

so when we put it all together it gives us

13x^2 - 20x + 8

Answer:

V=22/7×r^2×h

=22/7×(5.93/2)^2×10

=276.26cm

Step-by-step explanation:

Use the equation V=22/7×r^2×h

V=volume

r=radius

h=height

Substitute the values for r and h, then find the value for V

The volume of cylinder is 276.04 cm³.

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula πr²h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder.

Given:

d= 5.93

h= 10cm

r= 5.93/2

Now, volume of cylinder

= πr²h

= 3.14 x 5.93/2 x 5.93/2 x 10

= 31.4 x 8.7912

= 276.04 cm³

Hence, the volume of cylinder is 276.04 cm³.

Learn more about volume of cylinder here:

https://brainly.com/question/16134180

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Answer:

George will swim 45 laps on Monday.

Step-by-step explanation:

The number is being increased by 9 each time, starting at 18 laps on Friday; it increases by 9 laps each day.

Answer:

45 laps on Monday; start at 18 and add 9 each time.

Step-by-step explanation:

The pattern is adding 9 each time. You can see that 18, 27, and 36 are all numbers that go up every time. They are all also multiples of 9. (9*2=18, 9*3=27, 9*4=36, etc.) So, if you add 9 to 36, it equals 45, so George swims 45 laps on Monday.

Hope this helps you out!! Have a wonderful day :3

Answer:

m=3

Step-by-step explanation:

9m-19=8.

9m=27. Add 18 on both sides

m=3 divide by 9 on both sides

Hope this helps plz mark brainliest :D  

Answer:

3 = m

Step-by-step explanation:

9m - 19 = 8

      +19 +19

9m = 27

9 divided by 9 is m

27 divided by 9 is 3