By which rule are these triangles congruent?

Answer:

a = 2, b = 4, c = 8

Step-by-step explanation:

Let:

First (smallest) number = a

Second number = b

Third number(Largest) = c

The sum of three numbers is 14.

a + b + c = 14...... Equation 1

The largest number is 4 times the smallest number.

c = 4a.... Equation 2

The sum of the smallest and twice the largest is 18.

a + 2c = 18........ Equation 3

We substitute Equation 2 in Equation 3

to solve for a

a + 2(4a) = 18

a + 8a = 18

9a = 18

a = 18/9

a = 2

Hence, the smallest number = 2

We find c

c = 4a.... Equation 2

c = 4(2)

c = 8

The largest number is 8

We find b

a + b + c = 14...... Equation 1

2 + b + 8 = 14

b + 10 = 14

b = 14 - 10

b = 4

What are all three numbers?

a = 2, b = 4, c = 8

Answer:

3

Step-by-step explanation:

(x₁ , y₁) = (-1 , -2)   &    (x₂ , y₂) = (3 , 10)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]

m  = 4

y - y₁ = m (x - x₁)

y - [-2] = 4(x - [-1])

y + 2 = 4(x + 1)

y + 2 = 4x + 4

    y = 4x + 4 - 2

    y = 4x + 2

Answer:

If a graph is an Euler Circuit that mean that it can be traversed and begins and has all even verticies.  This allows you to start and stop at the same verticie.

Step-by-step explanation:

Answer:

I believe this is A

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

look at one hour and you will see that when it is at one hour it is a little bit over 10 but not enough to be 15

plz mark me brainliest like the other person didnt even explain.

Answer:

y = 2x + 2

Step-by-step explanation:

Answer: y=2x+2

Step-by-step explanation:

Answer:

Larger is -30

Smaller is -20

Step-by-step explanation:

-50/2 = -25

difference is -10

add 5 to one number minus 5 from the other

so

-25 - 5 = -30

-25 + 5 = -20

Hope this helps :)

Answer:

be careful how you answer this

the larger number (y) = - 20

the smaller number (x) = - 30  

Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.

Step-by-step explanation:

x + y = -50

x - y =  -10                             Add

2x = - 60                               Divide both sides by 2    

2x/2 = -60/2                         Do the division

x = - 30

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

-30 - y = - 10                         Substitute - 30 for x in the second equation

-30+30- y = -10 + 30            Add 30 to both sides

-y = +20                                Divide by -1 on both sides

y = - 20

Answer: $8.4

Step-by-step explanation:

To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.

Answer:

u ≤ -27/2

Step-by-step explanation:

hope this helps

Answer:

1 (6/6)

Step-by-step explanation:

because 1/3 will turn into 2/6 so when you add them it will be 6/6 :)

Answer:

6/6 which would be simplified as 1

Step-by-step explanation:

First you have to mutiply the second fraction by 2, both numbers so that both of the bottem numbers in both fractions are the same. Then you add the top numbers and the bottem ones stay the same, which would be 6/6

Then if you have an anoying math teacher, like me, who wants you to simplify everything that answer would be one

Answer:

The point (b, f(b)) is a local maximum.

24,10 and 16,5 have slope of a 5/8.

Answer:

[tex]w=\frac{y+1}{a-2} (a\neq 2)[/tex]

Step-by-step explanation:

[tex]y - aw=2w-1\\y-aw-2w=-1\\-aw-2w=-1-y\\-w(a-2)=-(y+1)\\w(a-2)=y+1\\w=\frac{y+1}{a-2} (a\neq 2)[/tex]

Hope this helps!

Answer:

29

Step-by-step explanation:

9+5=14+5=19+5=24+5=29

Answer:

     X' = (6 , 12)

Step-by-step explanation:

Dilation means to stretch or increase with some factor.

We are given the coordinates of rectangle as

W (1,6), Y (3, 2), Z (1,2)

plot this on the Cartesian plane

Coordinate of X is missing

Since the shape is a rectangle so its mid point diagonal intersection point will remain same.

using this the diagonal is

W (1,6) and Y (3,2) are diagonal points

D = ([tex]\frac{3+1}{2} , \frac{6+2}{2}[/tex]) = (2, 4)

Coordinate of X will be

X( x,y) and Z (1,2)

X = ( [tex]\frac{x+1}{2}, \frac{y+2}{2}[/tex]) = (2,4)

this will give x= 3 and y = 6

X ( 3,6)

Now Dilating by the scale factor of 2

Coordinate of X' = X( 2x, 2y)

                       X' = ( 2*3, 2*6)

                       X' = (6 , 12)

Answer:

the correct answer is 38th terms is triple its 18th term

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

From up to down :

[tex]6[/tex]

_________________________________

[tex]60[/tex]

_________________________________

[tex]600[/tex]

_________________________________

[tex]6,000[/tex]

_________________________________

[tex]60,000[/tex]

_________________________________

[tex]600,000[/tex]

_________________________________

[tex]6,000,000[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

1. 6

2. 60

3. 600

4. 6,000

5. 60,000

6. 600,000

7. 6,000,000

Step-by-step explanation:

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

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

solve by any method to get:

x = 65

y = 13

Answer:

8/3

Step-by-step explanation:

(4/-5)/(-3/10)

(4/-5) x (-10/3)

-40/-15

40/15

8/3

Answer:

25

Step-by-step explanation:

16+9

Answer:

The correct should be 25.

Step-by-step explanation:

If this is incorrect let me know and I will correct it.

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

[tex]f(x)=-2x^2-3x-8[/tex]

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

[tex]\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}[/tex]

And:

[tex]\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}[/tex]

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Calculate the slope:

[tex]m=\frac{-52-(-35)}{4-3}=-17/1=-17[/tex]

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.

Answer:

58926938427

Step-by-step explanation:

Answer:

Folow the PEMDAS rules wich show the order in which to do things:

Parenthesis first, then Exponent, then Multiplication/Division and finally Additiion and Subtraction. Therefore we solve whats in parenthesis first then work from there

567x237 is 134,379 and 467x939 is 438,513

now that we solved whats in parenthesis multiply the remaining values:

134,379x438,513=58,926,938,427

58,926,938,427 is correct

Step-by-step explanation:

Answer:

I'm sorry I just dont know it....

Answer:

5 years

Step-by-step explanation:

Alr. The equation is:

x= how long the rose bush took to grow

8 1/4=2+1 1/4x

6 1/4=1 1/4x

5=x

Complete Question:

Frank has a 41% chance of receiving an A grade in statistics, a 36% chance of receiving an A grade in geology, and a 23% chance of receiving A grades in both statistics and geology. Find the probability that he receives an A in statistics or geology (or both) Write your answer as a decimal (not as a percentage).

Answer:

The probability that he receives an A in statistics or geology (or both) is:

0.54

Step-by-step explanation:

Probability of receiving an A grade in statistics = 41% or 0.41

Probability of receiving an A grade in geology = 36% or 0.36

Probability of receiving A grades in both statistics and geology = 23% or 0.23

Let S = statistics and p(S) = probability of A grade in statistics

Let G = geology and p(G) = probability of A grade in geology

Let p(S and G) = probability of A grades in statistics and geology.

The probability that he receives an A in statistics or geology (or both) is:

= p(S + G) - p(S and G)

= (0.41 + 0.36) - 0.23

= 0.54

9514 1404 393

Answer:

  $6,106.87

Step-by-step explanation:

The total of percentage deductions is ...

  state tax + city tax + social security + medicare

  = 3.5% +2.5% +6.2% +1.45% = 13.65%

Then Ryleigh's take-home pay is ...

  gross(1 -13.65%) -112 = 5161.28

  gross = (5161.28 +112)/0.8635 = 6106.87

Ryleigh's monthly gross is $6,106.87.

Answer:

Step-by-step explanation:

The answer is 65

I hope it will help

The required simplified solutions of the function f(g(3) ) = 65.

Given that,
f(x)=2x+7 and g(x)=3x2+2, To find f(g(3)).

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
g(3) = 3[3]² + 2 = 29
f(g(3)) = 2 [29] + 7 = 65

Thus, the required simplified solutions of the function f(g(3) ) = 65.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2