ABCD is a quadrilateral.
a) Calculate the value of x.

b) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? A You must justify your answer without using a scale drawing.​

Answer:

-8x - 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-10x - 10 + 2x + 9

Step 2: Simplify

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]

[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]

[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]

[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Difference between average day temperature and average night temperature = 70°

Step-by-step explanation:

Given;

Average day temperature = 43° C

Average night temperature = -30° C

Find:

Difference between average day temperature and average night temperature

Computation:

Difference between average day temperature and average night temperature = Average day temperature - Average night temperature

Difference between average day temperature and average night temperature = 43 - (-30)

Difference between average day temperature and average night temperature = 70°

Answer:

there you go

Step-by-step explanation:

angle DOB is 60 degree.

Answer:

see explanation

Step-by-step explanation:

Given ∠ DOC = 90° then

∠ DOB = 90 - p and

Since AOB is a straight angle , then

4p + 90 - p = 180

3p + 90 = 180 ( subtract 90 from both sides )

3p = 90 ( divide both sides by 3 )

p = 30

4p = 4 × 30 = 120

Then

∠ DOB = 180° - 4p = 180° - 120° = 60°

Answer:

d

Step-by-step explanation:

vertical angles are congruent , so

∠ B = ∠ A  = 43°

Answer:

D

Step-by-step explanation:

dfjhygcftujnnbiijjhfsrfhhhuu

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

Answer:

In picture

Step-by-step explanation:

Brianliest please~

Answer:

Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.

Step-by-step explanation:

We have to take into consideration three things:

For each household, there are only two possible outcomes, either they own stocks, or they do not.

The probability of a household owning stock is independent of any other household, that is, for any household, the probability of someone owning stocks is 28%.

There is a fixed number of trials.

Is this experiment a binomial experiment?

Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.

Answer:

2850

Step-by-step explanation:

1+2+3+4+5+6+7...74+75

just add up all the numbers from 1 to 75

Answer:

(x,y) right arrow (negative x , y)

Step-by-step explanation:

Mathematically, when we reflect a point over the x-axis; we have a result

The result is that the x- coordinate of the point reflected takes up a negative value

so what we have here is that;

(x,y) becomes (-x,y) once reflected over the y-axis

So, traditionally, we add the arrow

So our answer is thus;

(x,y) right arrow (negative x , y)

Answer:

A.

Step-by-step explanation:

Step-by-step explanation:

X(x+6) - 6(x+6)

X+6x-6x-36

X-36

Answer:

Step-by-step explanation:

sorry bout the poor drawing but it should be legible

Answer:

The expected value is an expression of the weighted average and can be taken as the (arithmetic) mean

As the number of trials is increased in a binomial experiment, the expected values obtained, in each of the set of trials continuously tend to the theoretical expected value

Step-by-step explanation:

Answer:

a rational expression is an expression that has a RATIO in it

look at the word "RATIO"nal

a ratio is just a fraction...

so your question is "how to simplify fractions"

lots of approaches, this is one of them...

PRIME FACTOR the numerator and denominator

[tex]\frac{90}{135}[/tex]

90 = 2 * 3 * 3 * 5

135 = 3 * 3 * 3 * 5

= 2/3 (the two 3's cancel and the 5's cancel)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The domain is all real numbers and the range is all real numbers greater than zero

The domain is {x| all real numbers} and the range is {y| y > 0}

The domain of a function is the set of inputs that we can use in the function. To find it, we initially assume that it is the set of all real numbers, and then remove the problematic values of x.

For example, a problematic point would be a value of x that causes the denominator to be equal to zero.

In this particular case, we can see that the variable is in the exponent, thus it can take any real value and it will not cause any problem, so the domain is the set of all real numbers.

The range is the set of possible outputs. Because in this case, the base is a positive number, the outcomes will only be positive, then the range is given by:

y > 0.

So the correct option is A.

If you want to learn more about range and domain, you can read:

https://brainly.com/question/1770447

Step-by-step explanation:

[tex] \tan(x \degree) = \frac{54}{32} \\ = \frac{3}{4} \\ x \degree = { \tan}^{ - 1} ( \frac{3}{2} ) \\ = 56.3 \degree[/tex]

Answer:

The sphere

[tex]v=\frac{4}{3} \pi r^{3}=\frac{4}{3}*3.14 *2^{3}=\frac{4*3.14*8}{3}=\frac{100.48}{3}=33.493[/tex]

The cylinder

[tex]v=\pi r^{2} h=3.14*(\frac{4}{2} )^{2}*3=3.14*2^{2}*3=9.42*4=37.68[/tex]

Add those two volumes together:

[tex]33.493 + 37.68 = 71.173 in^{3}[/tex]

Answer:

in 90 minutes he ran 30 laps

there is 60 minutes in a hour so the fraction would be

2/3 so we have to multiply this by 30

2/3*30=20

He can run 20 laps in a hour

Hope This Helps!!!

Answer:

Step-by-step explanation:

x is greater than minus 3. You have everything right but the graph. The arrowhead goes the other way. Around -3 is as small as x gets.

0====0====0====0====0

-3       -2      -1        O       1

O------------------------------->

Answer:

Step-by-step explanation:

The number is divisible by 4 if the number formed by the last two digits is divisible by 4.

Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.

The smallest 2-digit number that is divisible by 4 is 36

Then the largest number is:

Answer:

x-intercept = (1/4, 0)

Step-by-step explanation:

Just change the y to 0 if you want to find the x-intercept of a linear equation.

0=-12x+3

-12x=-3

x=1/4

y=0

x-intercept = (1/4, 0)

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get

6.5 > –2.4b – 8.1

Correct

Luis started by subtracting 4.8b from both sides to get

2.4b + 6.5 < – 8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get

7.2b > 4.8b – 14.6

Correct

Clarence started by adding 8.1 to both sides to get

7.2b + 14.6 > 4.8b

Correct

Luis’s is incorrect because he flipped the inequality sign when he subtracted

Answer:

57 feet

Step-by-step explanation:

A circular swimming pool has the shape of a circle

Therefore, find the circumference of a circle

Circumference of a circle = 2πr

Where,

Radius, r = diameter / 2

= 18 feet / 2

= 9 feet

π = 3.14

Circumference of a circle = 2πr

= 2 × 3.14 × 9 feet

= 56.52 feet

Approximately,

57 feet

Answer:

30.44 pounds.  

Step-by-step explanation:

to find the answer you have to subtract 45.33 and 14.89

so 45.33-14.89= 30.44

so now you would have to round. the number after the decimal is NOT greater then 5 so Therefore, we simply remove the 4 an d the the whole number as: 30

SO your answer ROUNDING wise is 30

Hope this helps

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

1x+2x=3x

2x+3x=5x

3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

Simple interest=principal x rate x time÷100

amount borrowed=$500

I=$500x7x6÷100

I=$210

therefore you will pay

amount borrowed+interest

$500+$210

$710

hope this is helpful

Answer:

The interest for the two years is 144.

Step-by-step explanation:

Hallar the interest produced by a capital of /240 to an annual interest rate of 30% provided for a period of 2 years

Principal, P = 240

Interest, R = 30 %

Time, t = 2 years

The simple interest is given by

[tex]I = \frac{P\times R\times T}{100}\\\\I = \frac{240\times 30\times 2}{100}\\\\I = 144[/tex]

Answer:

a³-9a

a³-9a

=a(a+3)(a-3)