Exterior Angle Theorem

Answer:

Step-by-step explanation:

The length of this line segment is the distance between its endpoints A and B. So, a line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

Answer: DA = 6

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

Explanation:

The triangles are similar, allowing us to make the proportion below

DB/DA = DA/DC

Plug in the given values. Cross multiply and solve for x

DB/DA = DA/DC

9/DA = DA/4

9*4 = (DA)*(DA)

36 = (DA)^2

(DA)^2 = 36

DA = sqrt(36)

DA = 6

The length of DA is exactly the geometric mean of the lengths BD and DC

geometric mean of x and y = sqrt(x*y)

Answer:

426 square feet

Step-by-step explanation:

First, find the angle of each shape separately.

Area of a triangle = 1/2 base times height

1/2(9x8)

1/2(72) = 36

Area of a rectangle = base times height.

26 x 15 = 390

Now, add the numbers together to get the total area. 390+36=426

Answer:

426 square feet

Step-by-step explanation:

-First find the area of the rectangle:

26 x 15 = 390

-Next, find the area of the triangle on top:

9 x 8/2 = 36

-Finally, add the two to get the full area of the figure:

390 + 36 = 426

Answer: 426 square feet

Hope this helps! :)

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

Answer:

c

Step-by-step explanation:

Answer:

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Step-by-step explanation:

We need to solve the system of equations using elimination method.

[tex]5x-2y = 10\\4x + 2y = 8[/tex]

Let:

[tex]5x-2y = 10--eq(1)\\4x + 2y = 8--eq(2)[/tex]

Add both equations to eliminate y and find value of x

[tex]5x-2y = 10\\4x + 2y = 8\\------\\9x=18\\x=\frac{18}{9}\\x=2[/tex]

We get value of x=2

Now, finding value of y by putting value of x in eq(1)

[tex]5x-2y=10\\Put\:x=2\\5(2)-2y=10\\10-2y=10\\-2y=10-10\\-2y=0\\y=0[/tex]

We get value of y= 0

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Answer:

the answer is C

Step-by-step explanation:

Answer: The answer should be A.

Step-by-step explanation: When solving the first and third equations, it becomes 0=0. I'm assuming that is one solution. Then 8x-10y=5 should be the other solution. In other words, there is 2 solutions.

The correct diagram represents the type of solution to this system of equations is shown in Option A.

We have to given that,

System of equations are,

7x - 12y + z = -1   .. (i)

8x - 10y = 5        .. (ii)

21x - 36y + 3z = -3  .. (iii)

Now, From equation (i);

Multiply by 3;

3( 7x - 12y + z)  = -1 × 3

21x - 36y + 3z = - 3

Which is same as equation (iii).

Hence, Equation (i) and (ii) are parallel to each other.

And, It's a triple relationship.

Thus, Only option A has parallel planes.

So, Option A is true.

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Answer:

$31.50

Step-by-step explanation:

42 x 0.25 = 10.5

42 - 10.50 = 31.50

$31.50

Explanation:

42 × 25% = 10.5

42 - 10.5 = 31.5

Answer:

535

Step-by-step explanation:

587-34-18=

535

Answer:

550

Step-by-step explanation:

just is the answer

Answer:

32

Step-by-step explanation:

32=y

5=x

5x2

Is the equivalent to 32

Answer:

5x+2y≥3x+y≤36

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Hope this helps and have a great day! :)

Answer: -7(-6) is 42

hope this helps :)

Step-by-step explanation:

when You multiply two negative numbers, the answer is positive.

Answer:

40

Step-by-step explanation:

200/5=x/1

Answer:

40

Step-by-step explanation:

200/5 = 40

nice dumb questions

Answer:

There are 220 choices

Step-by-step explanation:

Given

[tex]People = 12[/tex]

[tex]Selection =3[/tex] (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where

[tex]n = 12[/tex]

[tex]r= 3[/tex]

So, we have:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

[tex]^{12}C_3 = \frac{12!}{(12 - 3)!3!}[/tex]

[tex]^{12}C_3 = \frac{12!}{9!3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10*9!}{9!3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{3*2*1}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{6}[/tex]

[tex]^{12}C_3 = 2*11*10[/tex]

[tex]^{12}C_3 = 220\ ways[/tex]

There are 220 choices

Answer:

2, 6

4, 12

8, 18

and so on

Step-by-step explanation:

multiply the number on the right by itself and do the same with the number on the left, this pattern could go on forever,

Answer:

Step-by-step explanation:

Answer:

bar graph

Step-by-step explanation:

The best choice for this scenario would be a bar graph. This is because a histogram is used to represent data ranges or data in a specifically given time interval. For example, age ranges, time ranges, and income ranges are all common examples of data that is represented using histograms. Bar graphs on the other hand tend to represent the quantity of specific pieces of data in a large set of data, such as the number of specific color cars that appear out of a wide set of colors.

Answer:

148 i thk i did 16x-12

Step-by-step explanation:

Answer:

11pi/6 in^3 or

5.760 in^3 to the nearest thousandth.

Step-by-step explanation:

Volume of ice cream = volume of the cone + volume of the hemisphere

= 1/3 pi r^2 h + 1/2 * 4/3 pi r^3    

= 1/3 pi 1^2 * 3.5 + 2/3 pi 1^3             (as the radius = 1/2 * diameter)

=  (7/6 + 2/3) pi

= 11pi/6 in^3.

It would be quadrant III

Answer:

Quadrant 3

Step-by-step explanation:

Quadrant 3: (-, -)

Answer: 43.2 miles/hour

Step-by-step explanation:

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

Answer:

y=2x-2

Step-by-step explanation:

(2,2), (3,4)

4-2=2

3-2=1

2/1

Answer:

y = 2x - 2

Step-by-step explanation:

In the formula for a line, y = mx + b,

Answer:

D

Step-by-step explanation:

189 boys is 54%

x is 46%(100-54)

Cross multiply:

189*46%=54%*x

86.94=0.54x

x=161

189 boys 161 girls

350 altogether

So D

Hope this helps plz hit the crown :D

Answer: the answer is 36

Hope this helps :)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

50x50=1000000

Step-by-step explanation:

Answer:

You would tell them by labeling the x and y and the titles of the graph and what corresponds to it

Step-by-step explanation:

Answer: 2n + 1 = n + 11

Answer:

Step-by-step explanation:

Answer:

20.6

Step-by-step explanation:

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

The number of days taken to triple the population is 20.7 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

Now,

A = 2[tex]A_0[/tex]

t = 13

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]

2 = [tex]e^{13r}[/tex]

Taking logs on both sides.

log 2 = 13r log e

0.30 = 13r

r = 0.30/13

r = 0.023

Now,

A = 3[tex]A_0[/tex]

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

3 = [tex]e^{rt}[/tex]

log 3 = rt

0.48 = 0.023t

t = 0.48/0.023

t = 20.7 days.

Thus,

The number of days taken to triple the population is 20.7 days.

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Step-by-step explanation: 2 1/3

Answer:

Step-by-step explanation:

29.

2x+4+x+2x-9=180

5x-5=180

5x=180

x=36

Q=76°

P=63°

R=36°

30.

C=90°  (Given)

4x+7+8x-1+90=180

12x+96=180

12x=84

x=7

B=55°

A=35°