ABCD is a quadrilateral.
a) Calculate the value of x.
to
+
D
1380
12x°
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.
B
Diagram not drawn to scale
+

ABCD Is A Quadrilateral.a) Calculate The Value Of X.to+D138012xb) When ABCD Is Drawn To Scale, Wouldthe

Answers

Answer 1

Answer:

Step-by-step explanation:

∑ angles = 360°

2x + 90 + x + 3x = 360

6x = 270

x = 45°

:::::

∠A = ∠B, so AD and BC are parallel.


Related Questions

Simplify.
3
(-125)
please help!

Answers

Answer:

-5

Step-by-step explanation:

∛—125=-5

Answer:

3/8

2+x>4

(x+3) (x-3)

Step-by-step explanation:

Hope this helps

Can someone pls help me with this I have to divide the decimals

Answers

Answer:

9.8

Step-by-step explanation:

1.  Move the decimal one space to the right on both the divisor and the dividend.

2.  You should end up with 382.2 divided by 39

3. Answer is 9.8

I’m pretty sure it is 9.8

a) Find all the square numbers that are greater than 10 but less than 40.​

Answers

Answer:

16, 25, 36

Step-by-step explanation:

The square numbers that are greater than 10 but less than 40 are 16, 25 and 36

What is Square numbers?

A square number is a number multiplied by itself. This can also be called a number squared.

Given,

Square numbers that are greater than 10 and less than 40

[tex]4^{2}=16\\ 5^{2}=25\\ 6^{2}=36[/tex]

Hence, the  square numbers that are greater than 10 but less than 40 are 16, 25 and 36

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list the multiple of 4 and 5 up to 50​

Answers

Really? Here we go...

0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

and

0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

or if you wanted conjuction

0, 20, 40

Answer:

Step-by-step explanation:

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

The same factors are bolded

cuál es el resultado de 1/2 + 1/4 + 0.25​

Answers

Answer:

1

Step-by-step explanation:

[tex]\frac{1}{2}=.5 \\ \frac{1}{4}=.25[/tex]

0.5 + 0.25 + 0.25 = 1

espero que esto ayude :)

: Which expression represents the factorization of 56st – 21t?
A: . 7(8st - 3t)
B: 7t(8s - 3)
C: 3t ( 18s - 7)
D: 7s ( 8t - 3t)

Answers

Answer:

B: 7t(8s - 3)

Step-by-step explanation:

Method 1: check by expanding each of them

A: 7(8st - 3t)=56st-21t

B: 7t(8s - 3)=56st-2t

C: 3t ( 18s - 7)=54st-21t

D: 7s ( 8t - 3t)=56st-21st

Method 2: the common factors of 56st and 21t is: 7t

56st/7t=8s

-21t/7t=-3

56st-21t=7t(8s-3)

Ken worked 20 hours and earned nearly
a) $200.
b) $2,000.
c) $20.

Answers

Answer:

Multiply how much Ken gets paid by 20.

He gets paid $10per hour to make a

He gets paid $100per hour to make b

He gets paid $1per hour to make c

good luck, i hope this helps :)

Aaron borrowed money to start a new
business. The simple interest rate on the
loan is 2.5%. He will pay back the loan by
making a total of 12 payments of $266.50
each. How much did he borrow?

Answers

Answer:

$6.69448

Step-by-step explanation:

I=?

P=$266.50

R=2.5*1/100=2.5/100

T=12

P*R*T

$266.50*2.5/100*12=$6.69448

The scale of a map is 1 inch : 250 miles. City A is 750 miles from City B. How far is its distance on the map?

Answers

3 inches on a map


Hope this helps
3 inches on the map

explanation:

750/250 = 3

multiply the base unit of 1 inch by 3 to get your answer of:
3 inches

I need help with problem 8

Answers

Answer:

True

Step-by-step explanation:

Because the angle with positive side of x axis is obtuse angle??

3. A drum full of rice weight 43-kg. If the empty drum weights 14- kg. Find the weight of rice in the
drum
A 29.25 kg
B. 2950 kg
C. 29.75 kg
D. 29 kg​

Answers

Answer:

Step-by-step explanation:

Weight of rice in drum = 43 - 14 = 29kg

Option D is the correct answer

9. Mrs. Parker paints the school library. Yrich is the best estimate
for the amount of paint she uses?

Answers

Answer:

incomplete question

Step-by-step explanation:

Answer:

Mrs. Parker paints the school library.Yrich is the best estimate

Step-by-step explanation:

for the amount of paint she uses?

For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will have the same convergence or divergence behavior as the given integral, and use that to predict whether the integral converges or diverges. Note that for this problem we are not formally applying the comparison test; we are simply looking at the behavior of the integrals to build intuition.

∫(x+5)/x^3+7x+5 dx

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer :

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

attached below is a detailed solution

48 minutes decreased by 75% is

Answers

Answer:

Step-by-step explanation:

48, percentage decreased by 75% (percent) of its value = 12

Answer 12

Step 1: 48/4 = 12

A figure skater begins spinning counterclockwise at an angular speed of 4.5 π rad/s. During a 4.8 s interval, she slowly pulls her arms
inward and finally spins at 7.2 π rad/s.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s
2
.

Answers

Answer:

[tex]\alpha =1.76\ rad/s^2[/tex]

Step-by-step explanation:

Given that,

Initial angular speed of the skater, [tex]\omega_i=4.5\pi\ rad/s[/tex]

Final angular speed of the skater, [tex]\omega_f=7.2\pi\ rad/s[/tex]

Time interval, t = 4.8 s

We need to find her average angular acceleration  during this time interval. Let [tex]\alpha[/tex] be the average acceleration of the skater. So,

[tex]\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.2\pi -4.5\pi}{4.8}\\\\\alpha =1.76\ rad/s^2[/tex]

So, her angular acceleration is [tex]1.76\ rad/s^2[/tex].

if the maker of the promissory note fails to pay the note on the due date,the note is said to be

Answers

Answer:

When the maker of a promissory note fails to pay, the note is said to be dishonored.

Step-by-step explanation:

100POINTS! EXPLAIN YOUR ANSWER OR I REPORT

Answers

Answer:

linear pair61°

Step-by-step explanation:

to understand thisyou need to know about:vertical angleequationPEMDAStips and formulas:A linear pair is two angles that are adjacent and whose non-common sides form a straight linelinear pair contains 180°given:[tex]m\angle 1 [/tex]let's solve:

[tex]\text{m$\angle$ 2 is linear pair with$\angle$ 1}[/tex]

[tex] \text{according \: to \: the \: question}[/tex]

[tex] \sf 119 + m\angle 2 = 180 \\ \sf m \angle 2 = 180 - 119 \\ \sf m \angle2= 61[/tex]

Answer:

Linear pair

61°

Step-by-step explanation:

Let's verify

See 1 and 2 angles lie in one lineSo they are supplementary and linear pair

m<2

180-11961°

A television has a normal price of £670. In a sale the price is reduced by 30%. Work out the price of the television in the sale.

Answers

£670 - 30% = £469

hope this helped, please mark as brainliest:)

Find the equation of a line, in slope-intercept form of a line that passes through the point (-5, -1) and is parallel to -2x+4y=8. ​

Answers

Answer:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

Step-by-step explanation:

Let's write [tex]-2x+4y=8[/tex] to slope-intercept form.

We do this by solving for [tex]y[/tex]

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

Add 2x to both sides

[tex]4y=8+2x[/tex]

Divide both sides by 4

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

Now that we have that equation in slope-intercept form, the question wants us to find a line that is parallel to it that passes the point (-5, -1).

A line is parallel to another line is they have the same exact slope.

The slope is [tex]\frac{1}{2}[/tex].

Slope-intercept form: [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So, let's see what we have here so far.

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

All we have to do is find [tex]b[/tex].

The question wants the line to pass the point (-5, -1).

Let's plug that point in.

[tex]-1=\frac{1}{2} (-5)+b\\-1=\frac{-5}{2}+b\\\frac{3}{2} =b\\[/tex]

We have all the information needed to finish this problem!

So, the line that is parallel to [tex]-2x+4y=8[/tex] and passes through the point (-5, -1).

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

The equation for line g can be written as y = 2/9x + 10.
Line h, which is parrellel to line g, includes the point (-3, -1) what is the equation

Answers

Answer:

y=2/9x-1/3

Step-by-step explanation:

since line h is parallel to line g, this means that line h has the same slope as line g.

line h's slope would be 2/9.

to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:

y=2/9x+b

-1=2/9(-3)+b

Then, solve for b:

-1=2/9(-3)+b

-1=-6/9+b

b=-1/3

so, the equation for line g is: y=2/9x-1/3

Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 60 feet and the angle of elevation to the bird from where he stands to be 64°. The leaves on the tree make it difficult for Corey to watch the bird, so he takes many steps away from the tree to get a better view. He now estimates his angle of elevation to be 37°.
How many feet did Corey step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.

Answers

Answer:

Corey stepped back 59.71 feet

Step-by-step explanation:

Right Triangles

They are a special type of triangle where one of its internal angles is 90°. The basic trigonometric equations stand in this type of triangles. If x is the adjacent leg of a given angle , and y is the opposite leg to the same angle, then :

[tex]tan0= \frac{y}{x}[/tex]

We can solve for x to get

[tex]x = \frac{y}{tan0}[/tex]

Corey estimates the height of the tree to be 80 feet. This means we know y=80 and . Let's find the horizontal distance at which Corey is looking at the bald eagle:

[tex]x1 =\frac{80}{tan68}[/tex]

[tex]x1 = 32.32 feet[/tex]

Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, so

[tex]x2 =\frac{80}{tan41}[/tex]

[tex]x2= 93.03 feet[/tex]

Now we can know the distance Corey walked back by subtracting both distances

correy stepped back 59.71 feet

The number of feets corey will step back to gain a better view of the bird is 54.72feet.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

here, we have,

Given that;

The height of tree=80feet

The angle of elevation to the bird from him=68°.

His estimated angle of elevation = 41°

Now,

Use trig to find x

then use trig to find   x+y

Then subtract to find y

tan41°= 80ft/(80ft/tan65 + y)

80/tan65 + y = 80/tan41

y= 80/tan41 - 80/tan65

y= 54.72ft

Therefore, by trigonometry the answer will be 54.72feet.

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A game is played with a circular spinner that contains 8 different colors. The design
of the spinner is the order in which the colors are arranged. How many ways can
this spinner be designed?

Answers

Answer:

64 ways

Step-by-step explanation:

there are 8 different colors, with 8 different possibilities on the color arrangement.

El precio de las acciones en tecnologia era $9.69 el día de ayer. Hoy el precio bajó a $9.58. Hallar el porcentaje de disminución. Redondear la respuesta a la décima de porcentaje más cercana. ​

Answers

(9.69-9.58):9.58*100 =

(9.69:9.58-1)*100 =

101.14822546973-100 = 1.1

Eso sería una disminución de 1.1

O como porcentaje redondeado 1.14%.

Espero eso ayude!

The percentage decrease in stock is 1.13%.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the stock price in technology was $9.69 yesterday. Today the price dropped to $9.58.

Assume that the percentage decrease is [x]%. Then, we can write -

[x] = [(9.69 - 9.58)/9.69] x 100

[x] = 1.13%

Therefore, the percentage decrease in stock is 1.13%.

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[Question is english is given as follows -

The stock price in technology was $9.69 yesterday. Today the price dropped to $9.58. Find the percent decrease. Round your answer to the nearest tenth of a percent.]

As part of a project about response bias, Ellery surveyed a random sample of 25 students from her school. One of the questions in the survey required students to state their GPA aloud. Based on the responses, Ellery said she was 90% confident that the interval from 3.14 to 3.52 captures the mean GPA for all students at her school.


Required:

a. Interpret the confidence level.

b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.

c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?

d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.

Answers

Answer:

a. We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. The length would increase.

c. The interval would be narrower.

d. The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(higher the confidence level, higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

This shows that if we increase the confidence level, the margin of error gets larger and the interval gets wider, while if we increase the sample size the margin of error gets smaller and the interval gets narrower.

a. Interpret the confidence level.

We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.

We would increase the confidence level, and the interval would get wider, that is, the length would increase.

c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?

Larger sample size means that the interval would be narrower.

d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.

The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Based on the information given in the sample, it should be noted that this implies that we are 90% sure that the mean GPA for all students at the school is between 3.14 and 3.52.

SamplingThe thing that will happen to the length of the interval if the confidence level were increased to 99% is that the length would increase.

A 90% confidence interval based on a sample of size 200 compare to the original 90% interval is that the interval would be narrower.

Lastly, a potential source of bias in Ellery's study that is not accounted for by the margin of error is making the students state their grades aloud. This will make some of them with lower grades lie.

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36+54 as a product please help i do not have any idead of hat this is

Answers

Answer:

90

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST AND A LOT OF POINTS!
can somebody help me with my online homework?

Answers

Answer:

x = number of pies

$13.00  + (X -1)($10.00 per pie) = cost

Step-by-step explanation:

Number of pies = x

Total cost of = dollars = d

d = x + 10x

Hope that helps!

write the number that is 6 less then 8000​

Answers

Answer:

8000-6=7994 is the required number

simply xsquared +5x +3x +15​

Answers

Answer:

5x+3x+15=8x+15

.................... ;)

The answer would be 8x + 15. This is the answer because you can add 5x and 3x, but not 15 to the coefficients.

Solve the simultaneous equations

2x+3y=20
X+5y=31

Answers

Answer: wwoww you don't know math

way

Step-by-step explanation:

10 cm
х
15 cm
A) 5V 13 cm
C) 5V 14 cm
B) 5V5 cm
D) 5 cm

Answers

Answer:

[tex]option \: b) \: \: \: 5 \sqrt{5} cm[/tex]

Step-by-step explanation:

Given,

Base of the triangle = 10

Hypotenuse of the triangle = 15

So, according to Pythagoras Theorem,

[tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]

[tex] {15}^{2} - {10}^{2} = {b}^{2} [/tex]

[tex]225 - 100 = {b}^{2} [/tex]

[tex]125 = {b}^{2} [/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = \sqrt{5 \times 5 \times 5} [/tex]

[tex]b = 5 \sqrt{5} cm \: (ans)[/tex]

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