which postulate proves these two triangles are congruent

Answer:

85 + z <= x <= 255 + z

Step-by-step explanation:

An inequality system will be given by a lower limit and an upper limit, therefore it is only necessary to raise an equation for each case, h being the hours worked and z the extra money you can earn by delivering the pizzas:

For the lower limit:

8.5 * h + z, knowing that in this case it is 10 hours.

85 + z would be the lower limit value

For the upper limit:

8.5 * h + z, knowing that in this case it is 30 hours.

225 + z would be the upper limit value

Therefore the inequality system would be as follows, let x be the money earned:

85 + z <= x <= 255 + z

Which means that the money earned will be determined by the previous inequality.

Answer:

Option C, y = -1/3x + 2

Step-by-step explanation:

2x + 6y = 12

Step 1:  Solve for y

2x + 6y - 2x = 12 - 2x

6y / 6 = (12 - 2x) / 6

y = 2 - 1/3x

Answer:  Option C, y = -1/3x + 2

Answer:

y = (1/3)x + 2

Step-by-step explanation:

2x + 6y = 12 can be reduced by dividing all three terms by 2; we get:

1x + 3y = 6.

We solve for y.  First, subtract 1x from both sides, obtaining:  

3y = -1x + 6.

Next, divide all three terms by 3.  We get

y = (1/3)x + 2

Answer:

x = 8/3

Step-by-step explanation:

3x - 1 = 7

3x = 8

x = 8/3

Answer:

the number is 8/3 (= 2 2/3)

Step-by-step explanation:

let the number be x

"3 times a number" --> 3x

"one less than 3 times a number" --> (3x - 1)

"one less than 3 times a number is 7" --> (3x - 1) = 7  (solve for x)

3x - 1 = 7    (add 1 to both sides)

3x = 7 + 1

3x = 8   (divide both sides by 3)

x = 8/3

Answer: 12.56 feet

Step-by-step explanation:

Given: The width of the circular path= 2 feet

The inner diameter of circular path= 150 feet

Therefore, the inner radius of circular path=

Now, the outer radius= 75+2=77 feet

We know that the circumference=

Inner circumference=

Outer circumference=

The difference=

Hence, the outer edge of the path is 12.56 feet farther than the inner edge

Answer:

c. 4 4÷2 =8 hope it helps

Any polygon that has exactly 3 sides is called a triangle. Here you haven't provided any figure, so I'll assume that we have two triangles as indicated in the figure below. As you can see, we have two sides:

[tex]KM \ and \ FH[/tex]

When placing together we realize that those sides measures the same, so:

[tex]KM=FH[/tex]

So [tex]KM/FH[/tex] is the diagonal of the shape. From the figure we also know that opposite sides are equal and parallel, therefore, this shape represents a parallelogram. Remember that a parallelogram is a quadrilateral where both pairs of opposite sides are parallel.

So correct option is:

Parallelogram

Answer:

The correct answer is A. parallelogram

Step-by-step explanation:

Right on ED2021, goodluck!

Answer:

Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines that never touch, perpendicular lines must intersect.

Therefore, the shape with 2 lines that don't intersect/touch each other, is the shape that does not have perpendicular lines.

Option A:

[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]

Solution:

Given expression [tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)[/tex].

To find the product of the above expression:

[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)[/tex]

First multiply first two factors with each term.

           [tex]=(x^{4} \times 3 x^{3}- x^{4} \times 2 ) \left(4 x^{2}+5 x\right)[/tex]

Using exponent rule: [tex]a^m \cdot a^n=a^{m+n}[/tex]

            [tex]=(3 x^{7}- 2x^{4} ) \left(4 x^{2}+5 x\right)[/tex]

Now multiply these two factors with each term.

            [tex]=3 x^{7} (4 x^{2}+5 x)- 2x^{4} \left(4 x^{2}+5 x\right)[/tex]

            [tex]=(4 x^{2} \times 3 x^{7} +5 x \times 3 x^{7} )- \left(4 x^{2} \times 2x^{4}+5 x \times 2x^{4}\right)[/tex]

Using exponent rule: [tex]a^m \cdot a^n=a^{m+n}[/tex]

            [tex]=(12 x^{9} +15 x^{8} )- (8 x^{6}+10 x^{5})[/tex]

           [tex]=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]

[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]

Hence option A is the correct answer.

Answer:

slope: 5x/3 and y-intercept: 1

Answer:

5/3 is slope

(0, 1) or 1 is y-int

Step-by-step explanation:

y = mx + b

m is slope

b is y-int

y = 5 x/3 + 1

y = 5/3x + 1

5/3 is slope

(0, 1) or 1 is y-int

Answer:(1,2), (2,4), (3,6), and alot more here is the graph so you can see!

Step-by-step explanation: hope this helps have a great day!

Step-by-step explanation:

in two months

Decrease of 25%

so you need to do

25%*12 is 3 minutes

Find the difference from 12 minutes

12-3 is 9 minutes.

therefore, his mile time is 9 minutes in two months

After improving his running speed by 25%, Guy would now run a mile time 9 minutes.

It would take for Guy to run a mile after improving his running speed by 25%. Guy's original mile time was 12 minutes. To find his new mile time, we calculate 25% of 12 minutes, which is 3 minutes.

Then, we subtract that from the original 12 minutes: 12 minutes - 3 minutes = 9 minutes. Therefore, Guy's new mile time, after reducing it by 25%, is 9 minutes.

Answer:

$1.40

Step-by-step explanation:

Divide 4.20 by 3.

Answer:

$1.4

Step-by-step explanation:

The price of one hamburger will be equal to the total price of the hamburgers divided by the number of hamburgers .

Therefore $4.20/3

$1.4

So each hamburger cost $1.4

Answer:

3

Step-by-step explanation:

List all the different teams:

A+B, C+D

A+C, B+D

A+D, B+C

There are 3.

Answer:

3

Step-by-step explanation:

2*2 - 1 = 3

Answer:

10/16  

Step-by-step explanation:

Simplified: 5/8

A student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels is 0.625.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

There are 8 bags of potato chips, 5 bags of popcorn, 2 bags of pretzels and 1 bag of cheese puffs.

The number of bag of potato chips and bag of pretzels,

= 8 + 2

= 10

If a student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels:

The probability = number of favorable outcomes / total outcomes

The probability = 10 / 16

The probability = 5/8

The probability = 0.625

Therefore, the probability is 0.625.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

they are increasing by 9 so next is 108

[tex](5x+2)(7x-2)[/tex]

Applying distributive property:

[tex]5x\cdot \:7x+5x\left(-2\right)+2\cdot \:7x+2\left(-2\right) \\ \\ 35x^2-10x+14x-4[/tex]

Combining like terms:

[tex]\boxed{35x^2+4x-4}[/tex]

[tex](5p-5)(7p+6)[/tex]

Applying distributive property:

[tex]5p\cdot \:7p+5p\cdot \:6+\left(-5\right)\cdot \:7p+\left(-5\right)\cdot \:6 \\ \\ 35p^2+30p-35p-30[/tex]

Combining like terms:

[tex]\boxed{35p^2-5p-30}[/tex]

[tex](n-7)(3n+1)[/tex]

Applying distributive property:

[tex]n\cdot \:3n+n\cdot \:1+\left(-7\right)\cdot \:3n+\left(-7\right)\cdot \:1 \\ \\ 3n^2+n-21n-7[/tex]

Combining like terms:

[tex]\boxed{3n^2-20n-7}[/tex]

The figure below shows the result of each case.

Answer:

  P'(-3, 5)

Step-by-step explanation:

The transformation for a 90° rotation CCW is ...

  (x, y) ⇒ (-y, x)

  (5, 3) ⇒ (-3, 5)

The coordinates of the rotated point are (-3, 5).

Answer:B) 81

Because it cannot be divided into two equal figures.

Answer:

y=−113x−323

Step-by-step explanation:

there u go

Answer:

It is equal to

11x-2.5-3e

Answer:

11x-5.5

Step-by-step explanation:

If you combine like terms it will be equivalent still.

5x and 6x can be added together which is 11x

you can also combine -2.5 and -3 which is -5.5

So the product will be 11x-5.5

Hope this helped :)

Answer:

the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.

Step-by-step explanation:

Answer:

x=-8,8

Step-by-step explanation:

[tex]\frac{x^2}{2} -32=0\\multiply ~by~2\\x^2-64=0\\x^2-8^2=0\\(x+8)(x-8)=0\\ether~ x=-8\\or~x-8=0\\x=8\\x=-8,8x=-8[/tex]

missing  either x+8=0

x=-8

Answer:

Johnny is incorrect because the slope is actually 6.

Step-by-step explanation:

To find the slope:  m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Step 1:  Plug in the points

m = [tex]\frac{4 - 10}{4 - 5}[/tex]

m = [tex]\frac{-6}{-1}[/tex]

m = 6

Answer:  Johnny is incorrect because the slope is actually 6.

Answer:

1 minute on the x-axis; 10 mph on the y-axis

Step-by-step explanation:

The distance between exit ramps is less than 6 miles and since you are traveling at 70 mph on the highway you should get there in less than 5 mins, so the scale on the x-axis should be 1 minute. Since you have 10 tick marks on the y-axis and will be going at a speed of 70 mph at some point, the scale on the y-axis should be 10 mph (100 mph total). A good scale would be 1 minute on the x-axis; 10 mph on the y-axis.

Answer:

1 minute on the x-axis; 10 mph on the y-axis

Step-by-step explanation:

The distance between -45 and -98 on a number line is 53 units.

The distance between -45 and -98 on a number line can be determined by subtracting the smaller number from the larger number:

-98 - (-45) = -98 + 45 = -53

The distance between -45 and -98 is 53 units.

https://brainly.com/question/16901376

#SPJ2

Answer:

A; C; D; E

Step-by-step explanation:

The answer is A, C, D, and E

A: 10, 24, 26

C: 8, StartRoot 161 EndRoot, 15

D: 20, 21, 29

E: 39, 80, 89

Answer:

A, C, D, E

Step-by-step explanation:

It's correct

Answer:

50%

Step-by-step explanation:

You can figure out the percentage that it is off by diving the price it is not at (12) by the full amount (24) and then multiplying it by 100 because it is a percent.

(12/24)= 0.5

(0.5)*(100)= 50%

Answer:

56

Step-by-step explanation:

Answer:

m = 1

Step-by-step explanation:

Step 1:  Add 14m to both sides

-13m + 14m = 1 - 14m + 14m

m = 1

Answer:  m = 1