a different way of proving the angle sum of a triangle is to use diagram

A Different Way Of Proving The Angle Sum Of A Triangle Is To Use Diagram

Answers

Answer 1

a.yes

Step-by-step explanation:

a.angle BCD =b because angle BCD is alternate angle of angle ABC

b.the two angles angle BAC and angle ACD is co-interior angle because they are inside a parallel line


Related Questions

3 6/12 rounded to the nearest whole number

Answers

Answer:

4

Step-by-step explanation:

6/12= .5

3.5≈4

Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7

Answers

Answer:

Step-by-step explanation:

f(x) = (x - 2)(x - 5)x(x+ 7)

f(x) = (x^2 - 7x + 10)*x * (x + 7)

f(x) = x(x^3 - 39x + 70)

f(x) = x^4 - 39x^2 + 70x

To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.

M U N = { 7,8,9,10,11,12,} and M = {7,8,10} then which of the following represent set N​

Answers

N represent (9,11,12), (7,8,9,10,11,12), (7,8,9,11,12)

Given M∪N=(7,8,9,10,11,12)

                  M=(7,8,10,)

N=[9,11,12] or [7,9,11,12] or [8,9,11,12] or [10,9,11,12] or

[7,8,9,11,12] or [7,10,9,11,12] or [8,10,9,11,12] or [7,8,9,10,11,12]

Inconclusion N represent (9,11,12), (7,8,9,10,11,12), (7,8,9,11,12)

Learn more here:

https://brainly.com/question/18877138

Solve.

2x−y−4z=4
3x−2z=7
x−2y=−2

Enter your answer, in the form (x,y,z), in the boxes in simplest terms.

Answers

9514 1404 393

Answer:

  (x, y, z) = (2, 2, -1/2)

Step-by-step explanation:

Most manual solutions to a system of 3 equations in 3 unknowns are ad hoc. The idea is to take advantage of any relationships that might exist between the coefficients.

Multiply the first equation by 2, then subtract the third equation.

  2(2x -y -4z) -(x -2y) = 2(4) -(-2)

  4x -2y -8z -x +2y = 8 +2 . . . . . . . eliminate parentheses

  3x -8z = 10 . . . . . simplify

Now, we can subtract this from the second equation:

  (3x -2z) -(3x -8z) = (7) -(10)

  6z = -3 . . . . . . . simplify

  z = -1/2 . . . . . . . divide by 6

Using the second equation, we can find x:

  3x -2(-1/2) = 7

  3x = 6 . . . . . . . . subtract 1

  x = 2 . . . . . . . . . divide by 3

Using the last equation, we can find y:

  2 -2y = -2

  1 -y = -1 . . . . . . divide by 2

  y = 2 . . . . . . . . add y+1

The solution is ...

  (x, y, z) = (2, 2, -1/2)

6. The population of wolves is currently 250 in a forest. Scientists estimate that there should be a
10% increase in population next year. What would the population of wolves be next year?

Answers

Answer:

275

Step-by-step explanation:

250÷10=25 250+25=275

Which numbers are a distance of 3.5 units from −4 on a number line?

A number line with increments of .5 with a range of 0 to negative 7.5

Select the two correct answers.


−7

−7.5

−6.5

−4.5

−3.5

−0.5

(help)

Answers

To be 3.5 units from -4, you either need to add or subtract 3.5 from -4.

-4 - 3.5 = -7.5

-4 + 3.5 = -0.5

A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she went down 23.9 feet. How many feet had she been below sea level, if she was 82.2 feet below sea level after she went down?

Answers

Answer:

58.3

Explanation:

x is the depth that the scientist started at. The asked equation is

x + 23.9 = 82.2

To find x, all we have to do is reverse the equation by doing

82.2 - 23.9 = x

This gives us x = 58.3

How is the year 2019 written as a Roman Numeral? Standard Number Roman Numeral 1 V 1 5 10 50 100 500 1,000 C D M A) MMXIX B) MMXVIII С) ССХІХ​

Answers

Answer:

MMXIX

Step-by-step explanation:

The year 2019 written in romal numeral form is MMXIX

What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?

Answers

Answer:

1922 = 2× 31 × 31

Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.

I hope this helped!

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-10 because you do parenthesis first

Answer:

x = -10

Step-by-step explanation:

3(-2x - 3) + 4x - 3 = 8

~Simplify

-6x - 9 + 4x - 3 = 8

-2x - 12 = 8

~Add 12 to both sides

-2x = 20

~Divide -2 to both sides

x = -10

Best of Luck!

which of the following could be the side length of the right triangle

Answers

Answer:

the side lengths of a triangle is exactly 20 degrees

It’s about 20 degrees my brother
Mark as brainlist if you can ;))

At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?

Answers

Answer:

If there were only 100 students, there would be enough food for 3 days.

Step-by-step explanation:

Set up an equation:

Variable x = number of days

150/5 = 100/x

Cross multiply:

150 × x = 5 × 100

150x = 500

x = 3.3333...

Round down to a whole number which represents a full day of food.

x = 3

6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
the dimensions of the rectangle.
62ft

Answers

Answer:

length = 20 ft, width = 11 ft

Step-by-step explanation:

let w be width, then length = w + 9

The opposite sides of a rectangle are equal , then

2w + 2(w + 9) = 62

2w + 2w + 18 = 62

4w + 18 = 62 ( subtract 18 from both sides )

4w = 44 ( divide both sides by 4 )

w = 11

and w + 9 = 11 + 9 = 20

then width = 11 ft and length = 20 ft

Select all expressions that are equivalent to x2 - 4x – 32.
0 (x – 16)(x + 2)
(x + 2)(x – 16)
(2 – )(x + 4)
(x + 8)(x – 4)
(x + 4)(x – 8)
(x – 4)(x+8)

Answers

Answer:

(x + 4)(x – 8)

Step-by-step explanation:

1. (x – 16)(x + 2)

x² - 2x - 16x - 32

x² - 18x - 32

2. (x + 2)(x – 16)

x² - 16x + 2x - 32

x² - 14x - 32

3. (2 – )(x + 4)

2x + 8

4. (x + 8)(x – 4)

x² - 4x + 8x - 32

x² + 4x - 32

5. (x + 4)(x – 8)

x² - 8x + 4x - 32

x² - 4x - 32

6. (x – 4)(x+8)

x² + 8x - 4x - 32

x² + 4x - 32

please help this one doesnt nee and explantion

Answers

Answer:

C.

Step-by-step explanation:

$159.99 × 0.25 is the amount of money she saved buying the CD player

Ying is a professional deep water free diver.
His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by:
D(x)=\dfrac{1}{36}(x-60)^2-100D(x)=
36
1

(x−60)
2
−100D, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 36, end fraction, left parenthesis, x, minus, 60, right parenthesis, squared, minus, 100
What is the lowest altitude Ying will reach?

Answers

Answer:

The lowest point is -100 meters, or 100 meters down

Step-by-step explanation:

D(x)=1/36(x-60)^2-100

This equation is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex

Since a is positive, the parabola opens up

The vertex is the minimum, which means it will be the lowest point

The vertex is (60,-100)

The lowest point is -100 meters, or 100 meters down

Given expression

y=1/36(x-60)²-100

Compare to the vertex form

y=a(x-h)²+k

We get

.

a=1/36(h,k)=vertex=(60,-100)

As a is positive parabola is opening upwards and vertex is minimum

Lowest altitude is -100m

Can anyone help me find w

Answers

Hmmmmmm ok you add everything up then subtract it all

The mean age of 6 women in an office is 23 years old.
The mean age of 3 men in an office is 23 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

the mean for both mean and women are 23 so the mean of all the people would be the same.

Answer:23

The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.
Entrance A, 15,682 cans
Entrance B, 18,940 cans
Entrance C, 16,114 cans
Entrance D, 12,468 cans
Did they collect more or fewer cans than desired? How many more or fewer?

Answers

Answer:

they collected altogether 63204 cans

so,they collected 13204 cans more than desired

Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).

A. (−3, 0)
B. (−1, −4)
C. (1, −8)
D. (1, −4)

Answers

Answer:

d

Step-by-step explanation:

its d

cause x becomes x+4 to get 1
and y remains y.

Solve the equation-

200=16(6t-3)

Answers

Hi ;-)

200 = 16(6t - 3)

16 · 6t - 16 · 3 = 200

96t - 48 = 200  / + 48

96t = 248  / : 96

t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂

The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

200 = 16 (6t - 3)

Simplify the equation, then the value of the variable t will be

200 = 16 (6t - 3)

12.5 = 6t - 3

6t = 15.5

t = 2.58

The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

How do you solve this?

Answers

Answer:

Its minus 70 every time

Step-by-step explanation:

n=32

Answer:

it will take 36 months to completely pay the loan

Step-by-step explanation:

see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380

every month we have to substract 70

so we can make a pattern

0 months = 2520

1 month = 2450 that is 2520 - 70

2 months =  2380 that is 2520 - (2 × 70)

3 months = 2310 that is 2520 - (3 × 70)

.....

then it continues till n months

so

n months = 2520 - (n ×70)

n months = 2520 - (36 × 70)

36 months = 2520 - 2520

Can someone help me with this ?!! Plz

Answers

Answer:

see image

Step-by-step explanation:

The following 5 keys are for the following 5 locked padlocks. Each key opens one and only one padlock. Different keys open different padlocks. What is the least number of trials needed to guarantee that you will open all 5 padlocks?

Answers

[tex] {5}^{5} [/tex]

is the answer.

Find the missing number to make these fractions equal.

Answers

I believe the answer is 6

Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality

Answers

Answer:

step 1. Subtraction Property Of Equality

step 2.Associative Property Of Equality

step 3.Division Property Of Equality

PLS HELP ASAP PLS
A net of a triangular prism is show. What is the surface area, in square feet, of the triangular prism?
44 square feet
96 square feet
108 square feet
120 square feet

Answers

Hello!

To find surface area, all you need to do is add up the areas of all the faces of the prism. Let’s start by remembering some basic area formulas:

Area of a triangle= 1/2*base*height
Area of a rectangle= length*width

First, find the area of each of the little triangles on the sides of the net. The base is 3 ft, and the height is 4 ft. So:

1/2*3*4= 6 ft

There are two triangles of the same size, so multiply that number by 2.

6*2=12

Now, find the area of the top rectangle:

3*8= 24

And the area of the bottom rectangle:

5*8= 40

Finally, add all of those numbers together:

12+24+40= 76 ft^2

That should be your answer!

A flea which is 8 x 10^-3 can jump 3.5 10^2 times of its own
length. How far can it jump?
meters

Answers

Answer:

(8 × 10 ^-3) (3.5× 10 ^2)

= 2.8 meters

Using the numbers 2,7,13,11,5 can you get the total of 23? (You must use all numbers, no negatives, no using each number more than once, and only use Subtraction, Multiplication, addition, and division, you can also group numbers)

Answers

Answer:

(2-7)/5 + 13 + 11

Step-by-step explanation:

There's a lot of guess and check that needs to go into this to make this work, but here's what I got:

(2-7)/5 + 13 + 11

-5/5 + 13 + 11

-1 + 13 + 11

24 - 1

23

Heelp ez question, just answer no steps needed

Answers

Answer:

i think 16 is the correct answer

Step-by-step explanation:

a

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