Find the measures of the numbered angles in the figure, shown to the right. Name the theorem that justifies each answer.
Measure
m21-110
m22=110
m23-110
m24 110
Justification
angle whose measure is 70° and Linear Pair Theorem
21 and Alternate Interior Angles Converse
angle whose measure is 70° and Vertical Angles Theorem
21 and Corresponding Angles Converse
GEITS
#
70°

An arithmetic sequence is a sequence of numbers which will have a constant common difference throughout the sequence.

The first term of the sequence is given as a₁ = 12 and

The common difference of the sequence is given as d = -2

We need to find the first four terms of the arithmetic sequence

So, the formula to find the first four terms of an arithmetic sequence is

a, a+d , a+2d, a +3d...

where   a = 12

            d = -2

Then, the arithmetic sequence of the first four-term is

= 12,12 + (-2) , 12 + 2(-2) , 12 + 3 (-2)

= 12 , 12-2 , 12 -4 , 12 - 6

= 12 , 10 , 8 , 6

So the arithmetic sequence of the first four-term is

12,10,8,6.

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Based on the number being scaled and the scale factor, the value of 40 when scaled to a factor of 0.25 is 10.

When a mathematical problem is given that requires that you scale a certain number by a certain scale factor, you scale that number by multiplying the number by the scale factor.

In this case, the number is 40 and the scale factor is 0.25. When the number is scaled by a factor of 0.25 therefore, we get:

= Number x Scale factor

= 40 x 0.25

= 10

In conclusion, 40 scaled to factor of 0.25 is 10.

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If your doing ireadys the answer is 1/2(a-8 but no negative 8 it just original 8

The perimeter of triangle ABC is equal to 13.83.

The perimeter of a geometric figure is the sum of its sides. Thus, for a triangle, for example, the perimeter is S1+S2+S3, where S represents the dimension of each side.

Given Data

In this question are given the coordinates of each vertex triangle. Then, you should plot these coordinates  A(1,-6), B(1,-3), and C(-4,-6) in a graph. See the attached  image.

From the plotted points, it is possible to note that  the triangle is a right triangle and its sides are: AB=3 and AC=5. For finding the side BC, it is necessary to apply the Pythagorean Theorem: (hypotenuse)²= (side1)²+(side2)². Thus,

(hypotenuse)²= (side1)²+(side2)²

(BC)²=(AB)²+(AC)²

(BC)²=(3)²+(5)²

(BC)²=9+25

(BC)²=34

BC=[tex]\sqrt{34}[/tex]=5.83

Now, you have all information to calculate the perimeter of the given triangle.

perimeter = AB+AC+BC = 3 +5 +5.83 =8+5.83=13.83

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Answer:

4.5 hectares

Explanation:

Maize=1/3x36=12Ha

Wheat=2/9x36=8Ha

Beans=4 Ha

=36-(12+8+4)

=36-24

=12Ha

Total remaining land=8/8=12

5/8=homestead

8/8-5/8=3/8

3/8=grazing land

=3/8x12

=4.5ha for grazing land

Answer:

24/30

Step-by-step explanation:

5 goes into 30 6 times, so multiply 4 x 6= 24

Answer:

mth 102 intermediate algebra 2 times a number added to another number is 25 3 times the first number minus the other number is 25 the two numbers that two numbers of 88 and 72

Answer:

here is my answersssssssssss...enjoy

Using proportions, the total percentage of the athletes who do not enjoy cycling is: 24.5%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, the proportions of people who do not like cycling are:

Hence the total proportion is:

0.3 x 0.45 + 0.2 x 0.55 = 0.245.

Multiplying by 100% to convert from proportion to percentage, 24.5% of the athletes who do not enjoy cycling.

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The above table can be rewritten as

Name    Calories Consumed

Jorge    2150

Rob        2840

Elan       2910

Pietro    2080

Bill         2425

Calories Consumed are calculated as standard consumption + deviation

1. the number 2300  acts like a base or 0 in this situation

2. Elan's calorie consumption is farthest from the standard and he consume 2910 calories

3. Pietro consumes the fewest calories and he consume 2080

4. Jorge and Bill's  deviations from the standard are opposites

5.Jorge and Bill consumes a number of calories closest to the standard

6.Elan consumes almost 3,000 calories

7.The average deviation from the standard among these five

students is (-125 +540 +610-220 +125)/5 =186  calories

8. the average absolute deviation from the standard among these

five students is 2481 [(2150+2840+ 2910+ 2080+2425)/5]

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-a²+3b²/3ab

Step-by-step explanation:

b/3a - a/3b

= -3a² + 3b²/3ab

=-a²+3b²/3ab

Answer:

1.75

Step-by-step explanation:

Answer: 957.5

Step-by-step explanation: The mean is 1096, and the median is 138.5

The difference is 957.5

Answer:

C

Step-by-step explanation:

3 7/12 - 1 1/6

1. Change 1 1/6 into the same denominator as 3 7/12.

3 7/12 - 1 2/12

2. Subtract whole numbers.

3 - 1 = 2

3. Subtract the fractions.

7/12 - 2/12 = 5/12

4. Answer is 2 5/12 (C).

hope this helps :)

Answer:

y=7x+8

then interchange x and y

x=7y+8

then

x-8=7y

y=X-8/7

Answer:

  28 c

Step-by-step explanation:

You want the amount of change from -13c to 15c.

The amount of change is found by subtracting the beginning value from the ending value:

  (15 c) - (-13 c) = (15 +13) c = 28 c

The temperature changed by 28 c.

Answer:

lol

Step-by-step explanation:

0-2-4-3-5

Answer: 75 pieces

Step-by-step explanation:

The way to answer this question is through simple cross-multiplication.

oz/pieces = 6 oz/45 pieces = 10 oz/x pieces

Cross multiply to get: 6x=450

Simplify: x = 75

the domain will be D = { - 1 , 2 , 4 , 6 } for the function y = 3 x - 4.

We are given a function:

y = 3 x - 4

Now we are also given the range as:

R = { -7 , 2 , 8 , 14 }

For y = - 7, we get the value of x as:

- 7 = 3 x - 4

3 x = - 7 + 4

3 x = - 3

x = - 3 / 3

x = - 1

For y = - 2, we get the value of x as:

2 = 3 x - 4

3 x = 2 + 4

3 x = 6

x = 6 / 3

x = 2

For y = 8, we get the value of x as:

8 = 3 x - 4

3 x = 8 + 4

3 x = 12

x = 12 / 3

x = 4

For y = 14, we get the value of x as:

12 = 3 x - 4

3 x = 14 + 4

3 x = 18

x = 18 / 3

x = 6

So, the domain will be:

D = { - 1 , 2 , 4 , 6 }

Therefore, the domain will be D = { - 1 , 2 , 4 , 6 } for the function y = 3 x - 4.

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Answer:

32. AX = BY

33. 3(p - 3q)

Step-by-step explanation:

distribution means multiply through out, the factored value of 3 should should take you back to the original question. 3×p =3p and 3×-3q=-6q

Answer:

  (c)  (-30)⁴

Step-by-step explanation:

You want to simplify the product (-6)⁴×(5)⁴.

An exponent is an indicator of repeated multiplication:

  (-6)⁴ = (-6)(-6)(-6)(-6) . . . . . . the factor -6 is repeated 4 times

  (5)⁴ = (5)(5)(5)(5)

Then the product is ...

  (-6)⁴ × (5)⁴ = (-6)(-6)(-6)(-6)(5)(5)(5)(5)

The commutative and associative properties of multiplication let you regroup this to ...

  (-6)(5)×(-6)(5)×(-6)(5)×(-6)(5) = (-30)(-30)(-30)(-30)

Using the exponent to signify repeated multiplication, this can be written as the equivalent ...

  (-30)⁴

__

Additional comment

This product has an even number of minus signs, so will be positive. It is fully equivalent to ...

  30⁴.

Greetings from Brasil...

know that three-tenths = 0.3

then

0.3X = 15

3X/10 = 15

Answer: 31

Step-by-step explanation:

27 + 4

Answer= 0

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Keep, Change, Flip...4/6 divided by 4/12 = 4/6 * 12/4 which equals 48/24 which when simplified equals 2.

4/6÷4/12 the answer is 2

Answer:

  (-16, 0)

Step-by-step explanation:

You want the other endpoint of the segment with midpoint (-6, 4) and endpoint (4, 8).

The midpoint of a line segment has coordinates that are the average of the coordinates of the end points.

  M = (A +B)/2 . . . . midpoint M of segment AB

  2M = A +B . . . . . multiply by 2

  B = 2M -A . . . . . solved for the other end point

  B = 2(-6, 4) -(4, 8) . . . . substitute given coordinates

  B = (2(-6) -4, 2(4) -8) = (-16, 0)

The other end point of the segment is (-16, 0).

After plotting the line of the best fit, the estimated values of a and b are

(30,1.15) and the equation is M = 30L ₊ 1.15

Given, the values of L and M are plotted on the graph.

Then the line of best fit is created on the graph.

A line that most accurately depicts the relationship between data points on a scatter plot is called the line of best fit.

When data points appear to be in a straight line, the line of greatest fit is a straight line.

Therefore, we get the point on the line as (30,1.15)

The equation representing the relation:

M = aL + b

(a,b) from the graph is (30,1.15)

substitute the estimated the values,

M = 30L + 1.15

Hence the required values are estimated and plotted on the graph.

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