which function has the range (-infinity,-2]U[0,infinity)?

a. y=cos(x+1)
b. y=csc(x)-1
c. y=sec(x)+1
d. y=cot(2x)-1

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

To learn more about congruent triangles click :

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Answer:

B.

Step-by-step explanation:

m=y2-y1/x2-x1

6.5-2=4.5

7-4=3

4.5/3=1.5

the slope is 1.5

hope this helps :3

if it did pls mark brainliest

Answer:

-9.375

Step-by-step explanation:

2 1/2 x (-3 3/4) = -9.375

Answer: [tex]-9\frac{3}{8}[/tex]

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Just do -4 multiplied by -7 which is 28

When divided it gives you -4

Answer:

just look it up

Step-by-step explanation:

Safari, Ask what u need too, and that is it

Answer:

No

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

What you want to do first is to put both equations into the slope intercept form: y=mx+b.

In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:

[tex]6y = -3x + 30[/tex]

Then you want to divide both sides by 6 to isolate y:

[tex]y = -\frac{1}{2}x + 5[/tex]

Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:

[tex]4y=-2x+9[/tex]

Then you want to divide both sides by '4' to isolate y:

[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]

Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.

In the case of this problem, the slopes are the same, so the equations are parallel:

[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]

Answer:

For 2 it's 27,247 and for 3 it's 31393.86

Step-by-step explanation:

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

Interest = 100 x 5% x 3

Interest = 5 x 3

Interest = 15

Answer:

182.353745455

Answer:180

Step-by-step explanation:

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

Answer:

y=12x   12=k   k=constant of Proportionality

Step-by-step explanation:

Answer:

5.6864

Step-by-step explanation:

Find the variance for the given data. Round your answer to one more decimal place than the original data.

{12.4, 10.7, 14.5, 10.1, 16.5}

Answer:

pretty sure it's B, its just really hard to see

Step-by-step explanation:

Answer:

im not sour if this is what you want but i got 1.3 repeating

Step-by-step explanation:

u simplify in ur head

Answer:

I needed help with this answer well, because im on it right now.

Step-by-step explanation:

I'm in algebra and I don't understand how to solve this equation or problem :(

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

Answer:

C = 6

Step-by-step explanation:

Here are steps

C - 20 = 4 - 3C

C + 3C = 4 + 20

4C = 24

C = 6

Answer: (0.1118, 0.3454)

Step-by-step explanation:

Confidence interval for population proportion is given by :-

[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.

Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.

Given : n= 35

[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]

Critical z-value for 90% confidence level =1.645

A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:

[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]

∴ Required confidence interval : (0.1118, 0.3454)

Answer:

Step-by-step explanation:

Answer:

$ 1,593.75

Step-by-step explanation:

this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D

Answer:

16.66

Step-by-step explanation:

Answer:

16.6666666667

Step-by-step explanation:

you take 100 and divide it by 6 and you will get 16.6666666667 or if you round it you will get 17 dollars

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

Answer:

he would get 10$

Step-by-step explanation:

if you divide 500 by 1 you get 5 times that by 2

Answer:

15

Step-by-step explanation:

Given that:

Three six-sided dices are to be rolled.

The number of ways to have the same value on the two dices is:

{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) }  = 6 ways

Thus; the objective is to determine the number of ways to a get smaller value on the third dice  while the two other dice have the same value.

To get started:

The number of ways for getting a value smaller than 1 = 0

The number of ways for getting a value smaller than 2 = 1

{i.e. (2,2,1)}

The number of ways for getting a value smaller than 3 = 2

{ i.e. (3,3,1) ,(3,3,2) }

The number of ways for getting a value smaller than 4 = 3

{ i.e. (4,4,1) , (4,4,2), (4,4,3)}

The number of ways for getting a value smaller than 5 = 4

{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}

The number of ways for getting a value smaller than 6  = 5

{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }

Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15

Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15

Answer:

Step-by-step explanation:

5 x ( 9 + 4 ) = ( 5 x __ ) + ( 5 x __ )

using distributive property,

the answer is

( 5 x 9 ) + ( 5 x 4 )

if u want the final answer

it becomes

45 + 20

= 65

Hope this helps

plz mark as brainliest!!!!!!!!