Because it is given that <6 and <14 are congruent, and <10 and <15 are congruent. <14 is congruent to <15 , and <10 is congruent to <11 because of the
PART A:
vertical angles theorem?
alternate exterior angles theorem?
same side interior theorem?
PART B:
By the
Transitive Property
Reflective Property
Substitution Property
PART C:
Alternate Interior Angles
Corresponding Angles
Vertical Angles

Answer:

x^2 + y^2 - 8x + 18y + 48 = 0

Step-by-step explanation:

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the centre of circle and r is the radius of circle. hence the standard form of equation can be obtained by expanding

(x-4)^2 + {y-(-9)}^2 = 7^2

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = [tex]x[/tex]

Let the quantity of glazed donuts = [tex]y[/tex]

Let the quantity of custard filled donuts = [tex]z[/tex]

As per question statements, following equations can be made:

[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]

Putting [tex]x=2x[/tex] in (1) and (2):

[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]

Subtracting (4) from (5):

[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]

By equation (3):

[tex]x=\bold{2}[/tex]

By equation (1):

[tex]y=\bold{9}[/tex]

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Answer:

Yes they are equivalent since you multiply by 10, you move the decimal place one spot to the right. It is very simple.

Step-by-step explanation:

Hope I could help :D

Anwer:32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

To find out what to do first, use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, ans Subtraction)

Now it should look like this: (90-((50/5)*6)) + 2

First, divide 50 by 5 and get 10

So now it will be like this: (90-(10 x 6) + 2

Next, multiply 10 by 6 and you'll get 60.

The problem is looks like this: (90 - 60) + 2

Then, subtract 60 from 90 and get 30.

30 + 2

Lastly, add 30 and 2 to get 30.

Hope this helps.

Answer:

y-intercept = 3

x- intercept = -1.5

Step-by-step explanation:

-4x + 2y = 6

+4x          + 4x

2y = 4x + 6

2          2

y = 2x + 3

Graph then you would get the coordinates of (0, 3) and (-1.5, 0)

Answer:

x intercept: (-3/2,0)

y intercept:(0,3)

Step-by-step explanation:

The graph has 2 intercepts, as it is a parabola with a degree of 2.

Answer:

Length of each shelf is 0.45 meters

Step-by-step explanation:

Given

[tex]Total\ Length = 2.25\ meters[/tex]

[tex]Shelves = 5[/tex]

Required

Determine the length of each shelf

This is calculated by dividing the total length by number of shelves as thus:

[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]

[tex]Length = 2.25m /5[/tex]

[tex]Length = 0.45m[/tex]

Hence;

Length of each shelf is 0.45 meters

Answer:

0.45

Step-by-step explanation:

Answer:

Hi there!

Your answer is:

1050 liters per 6 days

Step-by-step explanation:

350liters per 2 days

*3 to determine 6 days

1050 liters per 6 days

Hope this helps

Answer:

1050

Step-by-step explanation:

350 liters per 2 days

to get 6 days you will need to multiple 2 by 3

you need to do that to 350 too

350   x    3 = 1050

your ration is 350:2

make it to

1050:6

let me know if you need more help

Answer:

y=-2x

Step-by-step explanation:

Hope this helps! :)

Answer:

a) The equation is:

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b) The 98% confidence interval = (5.62784, 6.37216)

Step-by-step explanation:

a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

Mean = 6 days

Standard deviation = 1.6 days

Number of samples = 100

Z score of 98% confidence interval = 2.326

Confidence interval = 6 ± 2.326 × 1.6/√100

= 6 ± 2.326 × 1.6/10

= 6 ± 0.37216

= 6 - 0.37216

= 5.62784

6 + 0.37216

= 6.37216

Therefore, the 98% confidence interval = (5.62784, 6.37216)

Answer:

I need a picture or example to answer

Step-by-step explanation:

Answer:

-10, -3,  5, 16

Step-by-step explanation:

even though the negative number (10) might seem big, but its not

Answer:

-10,-3,5,16

Step-by-step explanation:

-10 is 10 times smaller than 1

-3 is 3 times smaller than 1

5 is 5 times bigger than 1

16 is 16 times bigger than 1

Answer:

[tex]f(3)=-5[/tex]

Step-by-step explanation:

We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]

We want to find [tex]f(3)[/tex]. So, we can use our first function.

Substitute 3 for x. This yields:

[tex]f(3)=-2(3)+1[/tex]

Multiply:

[tex]f(3)=-6+1[/tex]

Add:

[tex]f(3)=-5[/tex]

So:

[tex]f(3)=-5[/tex]

Answer:

AC = 30 in

m∠B = 36,9°

m∠A = 53,1°

Step-by-step explanation:

1 AC

You gan get AC with the pythagorean theorem:

a²+b²=c²

We are looking for side b of the triangle, so the equation is rearranged for b.

BC²+AC²=AB²    | -BC²

AC²=AB²-BC²

AC=√(AB²-BC²)

Now the given values are used:

b=√(50²-40²)

b=√(2500-1600)

b=√900

b=30 in

2 m∠B

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠B of the triangle.

sin(m∠B)=AC/AB

sin(m∠B)=30in/50in

sin(m∠B)=0,6

m∠B=36,9°

3 m∠A

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠A of the triangle.

sin(m∠A)=BC/AB

sin(m∠A)=40in/50in

sin(m∠A)=0,8

m∠A=53,1°

LK + KJ = 43

LK + 25 = 43

LK = 43 - 25

LK = 18

_________________________________

And we're done.....♥️♥️♥️♥️♥️

35 < 7 ( 2-b ) or 13 ( 15b-12)>= 21

35 < 14 - 7b or 195 b - 156 >= 2

35-14<-7b or 195b >= 2 + 156

21 < -7b or 195 b >= 158

b < 21/-7 or b>= 158/195

b < -3 or b >= 158/195

The simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b  ≥  158/195.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

35 < 7(2 − b) or 13(15b − 12) ≥ 21

After simplification:

35 < 14 - 7b or 195 b - 156 ≥  2 (using distributive property)

35-14<-7b or 195b ≥  2 + 156

21 < -7b or 195 b ≥  158

b < 21/-7 or b ≥  158/195 (division property of equality)

b < -3 or b  ≥  158/195

Thus, the simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b  ≥  158/195.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.

Step-by-step explanation:

Answer:

Sample Response: The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.

Step-by-step explanation:

I just got the sample response.

The vertical line test is a method used to determine whether a graph represents a function or not.

The vertical line test is a method used to determine whether a graph represents a function or not. It is a visual tool that helps identify if there is a unique output for every input value in a given graph.

To perform the vertical line test, imagine a vertical line that can be moved across the graph. If the vertical line intersects the graph at only one point for every possible position, then the graph represents a function.

In other words, if no vertical line passes through the graph in more than one location, the graph passes the vertical line test and is considered a function.

The vertical line test is a simple and effective way to check if a graph represents a function visually. It helps determine the relationship between the input and output values and identifies whether there is a one-to-one correspondence or not.

Learn more about Vertical Line test here:

https://brainly.com/question/29263148

#SPJ2

Answer:

2 3/10

Step-by-step explanation:

9 9/10 - 7 3/5

Answer:

b

Step-by-step explanation:

you would subtract and get answer

Answer:

Its's $3 for an adult ticket and $1 for a student ticket

Step-by-step explanation:

Answer:

[tex]x\in (-\infty,11][/tex]

Step-by-step explanation:

Inequalities

Solve the following inequality:

[tex]-3x+14\ge 3-2x[/tex]

Adding 2x:

[tex]-3x+14+2x\ge 3[/tex]

Subtracting 14:

[tex]-3x+2x\ge 3-14[/tex]

Operating:

[tex]-x\ge -11[/tex]

Multiplying by -1 and flipping the sign:

[tex]x\le 11[/tex]

Solution:

[tex]\boxed{x\in (-\infty,11]}[/tex]

Answer:

9/5x-45/10=-81/10=-8.1

Step-by-step explanation:

Answer:

1. Given

2. Similar Lines(given in diagram)

3. Vertical Angles

4. SAS(or Side-Angle-Side)

Step-by-step explanation:

1 is given because that is whats given to you.

2 is Similar Lines because, on the diagram, when a line has a small dash on it and another line has the same dash, this means that they are similar.

3 is Vertical Angle because a vertical angle is an angle that is reflective of another angle and, according to the Vertical Angle Theory, all vertical angles are equal.

4 is SAS because you always go counterclockwise on the triangle when finding the congruent abbreviation and her you can see it is Side(LN=NW), Angle(LNS=WNK), Side(SN=NK).

Answer:

a

Step-by-step explanation:

15*20%=3

15-3=12

Answer:

D. (the one in the right hand bottom corner)

Answer:

Bottom right

Step-by-step explanation:

The equation is y = 2x - 3

2 represents the slope

-3 represents the y-intercept

The y-intercept is when x = 0

So first, we look at the graphs and find the graphs that display when x = 0, y = -3 aka (0, -3)

From this, we can deduce the two graphs on the left side are wrong

It must be the two on the right

Now we figure out which one has a slope of 2 aka rise over run = 2/1

Which graph goes up (rises) 2 units and goes forward (runs) 1 unit?

The top right graph depicts a slope of 1/2, not 2/1 so this is incorrect

The bottom right graph displays a slope of 2/1 aka 2

Bottom right graph is the correct answer

Answer:

where is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the given weight where x is in the function definition. You're only asked for the expression, not its value.