1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.

An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.

The inequality is given as:

[tex]x > 5[/tex]

[tex]x > 5[/tex] means x greater than 5

So, the verbal description is as follows:

The set of all real numbers greater than 5

To sketch [tex]x > 5[/tex] on a number line, we consider the following:

See attachment for the sketch

To determine if the interval is bounded or not, we do the following.

[tex]x > 5[/tex] means that the x starts at a value greater than 5, and the value of x has no end.

This is represented as: [tex](5,\infty)[/tex]

Notice that 5 is at the right, while [tex]\infty[/tex] is at the left.

This means that the interval is bounded (right bounded to be precise)

Read more about inequalities at:

https://brainly.com/question/17194874

Answer:

6 songs

Step-by-step explanation:

27 divided by 4 1/2 or 4.5 equals 6 which mean they sang six songs.

Answer:

6, because 4.5 fits into 27 6 times.

Hello! I'm happy to help!

Question 13: First, we will need to find the value of x. We know that AB and BC are equal.

So, we can subtract x from both sides.

2x-8

-x

x-8

So, we get AB as x-8

x+17

-x

17

and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.

17+25=42

Therefore, both AB and BC have a value of 42. and AC will be the combined total.

42+42=84

So, for question 13, x=25, AB=42, BC=42, and AC=84.

Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.

2x+12=3x-31

We need to single out the x on one side, by changing things in the same way on both sides.

2x+12=3x-31

-2x       -2x

12=x-31

+31 +31

43=x

Now that we know our x value, we need to plug it in!

43+6=49

We now know that both AB and BC have a value of 49. Let's plug in the value for AC.

(43·3)-31

129-31

98

After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.

To Summarize Question 14: x=43, AB=49, BC=49, AC=98.

Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.

AB=3(3x-1)  AB=9x-3

AC=5(2x+2)   AC=10x+10

Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them

(9x-3)+(9x-3)=18x-6=AC

We now compare the two expressions in an equation to find x.

10x+10=18x-6

Again, we have to single out x on one side.

10x-10=18x-6

-10x     -10x

10=8x-6

+6     +6

16=8x

This time, we need to divide both sides to single out x.

[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]

2=x

Now that we have x, we need to plug it in to finish solving.

(9·2)-3

18-3

15

AB=15  BC=15

From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.

15+15=30                            (10·2)+10

AC=30                                 20+10=30

                                            AC=30

To Summarize Question 15: x=2, AB=15, BC=15, AC=30.

I'm always happy to help, keep learning! :D

Answer:

17+5=17+5

No matter what order you put them it will always be the same

Answer:

17+5=5+17

Step-by-step explanation:

17+5=22

5+17=22

He would take 63minutes to run 6 miles

Answer:

TIME TAKEN =63minutes or 1 h 3 min.

Answer:

greg, 4 seconds

Step-by-step explanation:

find how long it takes each person to run 2km first.

distance/speed:

40-12=28 seconds, pepper will take 28 seconds to finish the race from the time greg starts. greg will win by 4 seconds

Answer:

5

Step-by-step explanation:

PEMDAS ( or for whatever one you do... )

You read it from left to right. So, whatever comes first you do then you continue.

Multiplication came BEFORE division in this case.

3 x 2 = 6

Then Division.

You had gotten 6 FROM 3 x 2. Divide that TOTAL with 1.

6/1 = 6

[ Then subtraction is infront of addition. It may seem confusing but regardless how the letters are formatted in "PEMDAS" you ALWAYS read from left to right. "PEMDAS" has Addition infront of Subtraction but in this case, subtraction goes first because it's infront of the addition. ]

Then you subtract.

You had gotten 6 FROM 3x2/1

Subtract that TOTAL with 10. 10 - 6

What is 10 - 6? 4 because 10 is LARGER than 6

Then you add.

You got the TOTAL of 4 FROM 10-3x2/1.

Add that TOTAL with 1.

4 + 1 = 5.

The answer should be 5 but correct me If I'm wrong.

Answer:

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Step-by-step explanation:

hope that it helped you

Answer:

[tex]2\sqrt{2} \\2[/tex]

Step-by-step explanation:

[tex]\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2*\sqrt{2} = 2\sqrt{2} \\\\\sqrt[3]{8} = \sqrt{2*2*2} = 2[/tex]

Answer:

I noticed that  [tex]\sqrt{8\\}[/tex] does not have 3 on it like the second one. And i wonder that the answers would be different from each other

[tex]2\sqrt{2}[/tex]

2

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

7*5=35 its simple though

Answer:

3.81

Step-by-step explanation:

-      +     -

-      +     -

-      +      -

If you were to go all ways on this chart↑ the rules would always be the same.

A negative plus a negative is a negative.

A negative plus a positive is a negative.

A positive plus a postitive is a positive.

Answer:

It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.

The number of ways N people can be arranged in a straight line without restriction = N!

The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people

= (N - 1) * 2 * (N - 2)!

= 2 (N - 1)!

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!

Answer: Monomial

Step-by-step explanation:

2ax/3y is a monomial in three variables a, x and y.

PJ, A term is defined as a number, variable, or some combination of numbers and/or variables being multiplied together. Even though 2x has two parts (2 and x), since they are being multiplied together, 2x is considered a single term (a monomial expression).Mar 18, 2014

Answer:

monomial

Step-by-step explanation:

because it has only 1 term

answer:

h3

Step-by-step explanation:

H raise to power 3

Answer:

You can get approximate values by drawing a graph,

Step-by-step explanation:

Answer:

12 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 120 + 0.20x

Company B: 60 + 0.40x

Set up an equation:

120 + 0.20x = 60 + 0.40x

60 + 0.20x = 0.40x

60 = 0.20x

12 = x

Answer:

[tex](x+y+z+1 {)}^{2} [/tex]

Step-by-step explanation:

[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]

[tex](x+y+z+1 {)}^{2} [/tex]

Here is your answer hope this helps you.

Answer: this is realy unclear but ill try my best man 1st,bot C . 2nd,bot A . 3rd,bot D, last or 4th, bot c

Step-by-step explanation:

the highest number is 38 clicks in 4.5 seconds so ill try to multiply or do more math to get the answer 0.5 x 9 adds up to 4.5 so ill do 4 x 9 is 36

2x2.25 gets you 4.5 seconds so 2.25 x 15 = 33.75 and bot b i dont even wanna do that math so 1st goes to bot c 2nd goes to bot A 3rd goes to bot d and last goes to bot b

Answer:

2x

Step-by-step explanation:

6x-4x

= x(6-4)

= 2x

Answer:

D is the correct answer.

Answer:

15

Step-by-step explanation:

5/100*300

100 can be cut for 100 and 300

so 5/1*3

ans 15

Answer:

Percentage Calculator: What is 5 percent of 300? = 15.

Answer:360

Step-by-step explanation:

Answer:

The common factor is 12a³

Step-by-step explanation:

[tex] {24a}^{3} {b}^{4} , \: 36 {a}^{4} {c}^{4} , \: 48 {a}^{3} {b}^{2} c[/tex]

each term got a factor:

[tex] = 12 {a}^{3} [/tex]

Explanation:

Compute the distance for the original speed and time

distance = rate*time

distance = (40 kph)*(14 hrs)

distance = 560 km

If we increase the rate or speed to 56 kph, then,

distance = rate*time

560 km = (56 kph)*x

560 = 56x

56x = 560

x = 560/56

x = 10

The bus will travel for 10 hours if its speed is increased to 56 km per hour.

Answer:

A bus takes 4.5 hours to complete a complete a journey at a speed of 40km/hr

So, in this case, We will find the distance first because the distance is constant.

distance-speed*time

distance=40*4.5

distance=180km

distance=180km

Now, we find the time to cover the distance at the speed of 45km/hr

time distance/speed

time=180/45

time=4hrs

Therefore, the answer is 4hrs