Write a rule that transforms ABC into A'B'C'

Answer:

y=60

Step-by-step explanation:

1) Find x

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

[tex]180=x+35+25\\180=x+60[/tex]

Subtract 60 from both sides

[tex]180-60=x+60-60\\120=x[/tex]

2) Find y

A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:

[tex]180=x+y\\180=120+y[/tex]

Subtract 120 from both sides of the equation

[tex]180-120=y+120-120\\60=y[/tex]

There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.

I hope this helps!

Answer:

code answer :unknown 976765 answer .geometric

Answer:

Step-by-step explanation:

Answer:

504

Step-by-step explanation:

A = (.5bh)*6

Plug in your known numbers

A = (.5*12*14)*6

Since there is nothing missing just multiple together and you'll get

Answer:

The answer is 18.

Step-by-step explanation:

You take 7x12 which is 84 and then you take 84 and subtract it from 102 inches so 102-84=18.

Hope this helps!

Noah after using 7 feet of the border is now left with 95 feet of the boarder.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

We also know about some basic properties of arithmetics,

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, Noah has 102 inches of the border for poster board and he uses 7 feet of the border.

Therefore, The amount of border left can be obtained by subtracting the length used from the total length which is,

= (102 - 7) feet.

= 95 feet.

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Answer:

the ans is

Step-by-step explanation:

monday = 40/per gallon

tuesday = 120/per gallon

1) The miles traveled per gallon of fuel on Monday = 4 miles/gallons

2) The number of gallons of fuel used on Tuesday = 12 gallons

"It is a quotient of two mathematical expressions."

"The average rate is the total change in output values divided by the change in the input values."

For given situation,

On Monday,

a dairy farmer used 5 gallons of fuel to drive 40 miles.

So, the miles traveled per gallon of fuel would be the ratio of the distance he drove and the fuel used.

the miles traveled per gallon of fuel:

= 20 / 5

= 4 miles/gallon

Therefore, the miles traveled per gallon of fuel on Monday = 4 miles/gallons

On Tuesday,

he drove 120 miles at an average rate of 10 miles per gallon of fuel.

Let he used 'x' gallons of fuel.

⇒ 10 = 120/x

⇒ 10 × (x) = 120

⇒ x = 120/10

⇒ x = 12 gallons

Therefore, he used 12 gallons of fuel on Tuesday.

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Answer:

(a+b)(c+d)=a c+a d+b c+b d is the formula

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When we subtract 9 from both sides we get

[tex]|x|\leq -2[/tex].

Now when we get rid of the absolute value sign, we make two inequalities.

This first is [tex]x\leq -2[/tex] and for the second we need to switch the negative sign to a positive sign and flip the [tex]\leq[/tex] to a [tex]\geq[/tex]. This makes the second equation [tex]x\geq 2[/tex].

P.S. The second equation wasn't an option in the answer.

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm

Answer:

6 gumballs can be stored in the gumball machine.

Step-by-step explanation:

Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:

10 / 1.5 = X

6.666666 = X

Thus, 6 gumballs can be stored in the gumball machine.

Answer:

1500

Step-by-step explanation:

Answer:

x + 2, x ≠ -2

Step-by-step explanation:

Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2.  The quotient is x + 2, which in this problem has been named h(x).  

The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.

Answer:

1/10 is the common ratio

simplified is 0.1

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Answer:

A. They are multiples of 5

Step-by-step explanation:

10 times 2= 20+5= 25

25 times 2= 50+5= 55

55 times 2= 110+5= 115

115 times 2= 230+5= 235

All of them are multiples of 5.

Hope that helped! :)

Complete question is;

A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.

H0 : μ = 25, Ha : μ > 25

To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.

It is appropriate to conclude which of the following?

Select one:

A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

D. None of the above

Answer:

D. None of the above

Step-by-step explanation:

We see that the researcher wants to test the hypotheses;

Null hypothesis; H0 : μ = 25,

Alternative hypothesis; Ha : μ > 25

Population mean = 25 and standard deviation σ = 4

After testing a sample of 1000 students, he discovered that;

Sample size; n = 1000

Sample mean; x¯ = 25.2

After calculations, he got P-value as less than 0.0001.

Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.

Thus, none of the options are correct.

Answer:

35

Step-by-step explanation:

[tex]\frac{9}{y} =\frac{36}{100}[/tex]

y × 36 = 9 × 100

36y = 900

36y ÷ 36 = 900 ÷ 36

y = 35

Answer:

25

Step-by-step explanation:

36%     9        

--------------       (36% over 100% and 9 over x)

100%    x

Cross multiply: 36% times x and 100% times 9

36% times x=36x

100% times 9=900

Divide: 900 divided by 36=25

25 is your answer

Hope this helped!

Bella was here :)

9514 1404 393

Answer:

  a) y = 3x-1

  b) y = x+5

Step-by-step explanation:

a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.

The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...

  y = 3x -1

__

b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...

  b = y -mx

  b = 7 -1·2 = 5

Then the slope-intercept equation is ...

  y = x + 5

Answer:

y=5x+5

Step-by-step explanation:

to find the slope of the line: 25-(-5)/4-(-2)=30/6=5

so the slope is 5

to find the y-intercept:

y=5x+b

25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)

b=5

so, the equation of the line is: y=5x+5

Answer:

pythagoras theorem

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Answer:

20,000 + 600 + 2 = 20,602

Step-by-step explanation:

twenty thousand = 20,000

six hundred = 600

two = 2

Take those numbers and add them together. You get 20,602

Answer:

C

Step-by-step explanation:

S= (2M-15)=185

2m=185+15= 200

m=200÷2= 100cm-C

Answer:

12m

Step-by-step explanation:

a+b=c

a=?

b=9m

c=15m

a+9m×9m=15m×15m

a+81=225

a=225-81

a=144

find its square root

a=12m

Answer:

7

Step-by-step explanation:

[tex]5 \frac{3}{5} \div \frac{4}{5} [/tex]

[tex]5 \frac{3}{5} = \frac{5 \times 5 + 3}{5} [/tex]

[tex] \frac{25 + 3}{5} = \frac{28}{5} [/tex]

[tex] \frac{28}{5} \times \frac{5}{4} [/tex]

[tex]28 \frac{1}{4} [/tex]

[tex] = 7[/tex]

Answer:

6xy+4x−y

Step-by-step explanation:

Answer:

The answer would be Y=3X+3 .

Hope it was helpful .

The equation of the line shown in the graph is y = 3x + 3.

The equation of the line shown in the graph is determined by calculating the slope and y - intercept of the line as shown below.

The slope of the line is calculated as follows;

m = Δy / Δx

where;

m = ( 9 - 3 ) / (2 - 0 )

m = 6 / 2

m = 3

The  y - intercept of the line is the point where the line intersects y-axis.

c = 3

The general equation of a line is given as;

y = mx + c

So our equation of the line becomes;

y = 3x + 3

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Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

Answer:

79*

Step-by-step explanation:

Answer:

9/2 miles or 4.5 miles

Step-by-step explanation:

First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.