Determine which postulate can be used
to prove that the triangles are congruent.
If it is not possible to prove congruence,
write not possible.

Answer:

That is a 45% increase

Step-by-step explanation:

Answer:

y=12/x

Step-by-step explanation:

if y=12, and x=1 so

general formula y=12/x

for x=5 , y=12/5=2.4

you can graph by ploting points such as (1,12), (5, 2.4),...

Answer:

$0.5

Step-by-step explanation:

10*0.05 = 0.5 dollars

Answer:

.50

Step-by-step explanation:

Selling price x sales tax rate = sales tax

10 x .05 (5%) = .50

Answer:

y = -5/3x + 6  

Step-by-step explanation:

A line parallel to it would have the same slope which is -5/3 so then you can plug in the points you were given and find b for the line parallel which would be 1 = -5/3(-3) + b and that would simplify into 6 = b so then you know your y intercept and you can now plug it in for the new equation y = -5/3 + 6

Answer: The base is 17 meters long, and the height is 12 meters.

Step-by-step explanation:

The area of a triangle is:

A = b*h/2

where:

b = base

h = height.

For this particular triangle, we have that:

b = 5m + h

A = 102 m^2 = b*h/2

We can replace the first equation into the second one:

b*h/2 = 102 m^2

(5m + h)*h/2 = 102 m^2

(5m + h)*h = 2*102 m^2 = 204m^2

5m*h + h^2 = 204m^2

We can rewrite this as a quadratic equation:

h^2 + 5m*h - 204m^2 = 0

The solutions are given by the Bhaskara formula, the solutions are:

[tex]h = \frac{-5m +- \sqrt{(+5m)^2 -4*1*(-204m^2)} }{2*1} = \frac{-5m+-29m}{2}[/tex]

Then the two solutions are:

h = (-5m - 29m)/2 = -17 m

This is a negative height, that is not really defined, so this will be discarded.

The other solution is:

h = (-5m + 29m)/2 = 12m

This is positive, so this is the option we will use.

Knowing h, we can find the value of b.

b = 5m + h = 5m + 12m = 17m

Then the area is:

A = 12m*17m/2 = 102m^2

Answer:

Her change was: $3.5

Step-by-step explanation:

Mary bought a shirt on sale for $15.00.

As the sales tax was 10%.

i.e. 10/100 × 15 = $1.5

so the sales tax on $15.00 was $1.5.

Hence, the total cost Mary had to pay to buy the shirt was:

$1.5 + $1.5 = $16.5

As Mary paid with a $20 bill, therefore the change can be calculated as

20 - 16.5 = $3.5.

Therefore, her change was: $3.5

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

16t^2 + 800t + 9000 = 0

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

t^2 + 50t + 562.5= 0

Factorize

-50±√2500-4(562.5)/2

t = -50±√2500-2250)/2

t = -50±15.81/2

t = -65.81/2 and -34.19/2

t = -32.91 and -17.09

Answer: -9

18/x = -2

⇔ x = 18/(-2)

⇔ x = -9

Step-by-step explanation:

Answer:

(3,7)

Step-by-step explanation:

Answer:

g(x) = [tex]4^{(x-1)}+3[/tex]

Step-by-step explanation:

Given exponential function is,

f(x) = [tex]4^{x}[/tex]

If the given function is shifted 1 unit to the right,

h(x) = f(x - 1)

      = [tex]4^{(x-1)}[/tex]

If the function 'h' is shifted 3 units up,

g(x) = h(x) + 3

      = [tex]4^{(x-1)}+3[/tex]

Therefore, transformed function will be,

g(x) = [tex]4^{(x-1)}+3[/tex]

Answer:

She saved 25% or 1/4

Step-by-step explanation:

Please give me brain

Answer:

x < -([tex]\frac{11}{2}[/tex])

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

8x+2 < 6x-9

2x+2 < -9

2x < -11

x < -([tex]\frac{11}{2}[/tex])

Answer:

7.6

Step-by-step explanation:

m<DBA is 68 degrees

Answer:

its B

Step-by-step explanation:

Answer:

y = 11°

Step-by-step explanation:

PR and QS and parallel lines and QR is a transversal.

Now,

5y = 55 (alternate interior angles)

y = 55/5

y = 11

Answer:

Bottom Right Graph (Absolute Value)

General Formulas and Concepts:

Step-by-step explanation:

When we apply the VLT to the 4 different graphs, we see that the only graph that actually passes the VLT is the absolute value graph. Therefore, that is our answer (none of the other graphs pass the VLT).

Answer: C

You can use the formula x = -b / 2a to find the axis of symmetry.

Answer:

+$90;

$1,600

Step-by-step explanation:

The equation, [tex] y = 1600 + 90x [/tex], given to us tells us much about the situation described above.

y = total pay

x = number of copies of Math is fun

1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.

90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.

Therefore, our answers would be:

+$90, and $1,600

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

No of sides= 360/exterior angle

=360/20

=18 sides

the number of the sides of the polygon is 18 sides.

Answer:

The answer is 11/6! Hope this helped!

Steps:

6/3 + (-1/6)

apply rule --> a + (-b) = a - b

6/3 + (-1/6) = 6/3 - 1/6

= 6/3 - 1/6

6/3 = 2

= 2 - 1/6

2 = 6 x 2 over 6

= 6 x 2 over 6 - 1/6

= 12/6 - 1/6

apply fraction rule --> a/c - b/c = a - b over c

12/6 - 1/6 = 12 - 1 over 6

= 12 - 1 over 6

= 11/6

Answer:

x = 20

4x = 80°

5x = 100°

Step-by-step explanation:

The given angles are supplementary so their sum is 180°

4x + 5x = 180

9x = 180 divide both sides by 9

x = 20

The value of the angle marked 4x = 4 × 20 = 80°

The value of the angle marked 5x = 5 × 20 = 100°

Answer:

80°, 100°

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

Thus

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

Answer:

This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks.

Step-by-step explanation:

thats just what it is

The solution is Option C )

This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks

What is Linear model?

A linear model is a model in which the terms are added, such as has been used so far in this section, rather than multiplied, divided, or given as a non-algebraic function. Linear modeling can predict the behavior of complex systems or analyze experimental, financial, and biological data.

Linear regression is a statistical method used to create a linear model. The model describes the relationship between a dependent variable y (also called the response) as a function of one or more independent variables Xi (called the predictors).

Given data ,

Weight of the puppies = y pounds

Number of weeks after birth = t

Linear model representing the relationship between weight of puppies and time after birth in weeks is y = 2.3 + 5.73t

This is a clear idea of Linear models because the data describe a continuous response variable as a function of one or more predictor variables.

Hence , this is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks

To learn more about linear modeling click :

https://brainly.com/question/28436453

#SPJ2

Answer:

I think the answer is D

Step-by-step explanation:

Answer:

Well I'm not a girl soo No.

Step-by-step explanation:

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -3x + 17

f(x) = 2

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that f(2) does equal 2.

∴ x = 5 is the solution.

Answer:

3/8

Step-by-step explanation:

Answer:

3/8 = 9/24

1/3 = 8/24

-1/3 is closer to 0

3/8 is farther from 0

Answer:

it never said how many people died, so 0, because if they lived long enough as together with 80 brothers, plus 25*80 sisters, then no one dies exept the mothers womb and the parents bank account

Step-by-step explanation:

Answer: 18x+16 cm

Step-by-step explanation:

Combine the like terms. 9x+9x = 18x and 8+8=16