a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

A B And C Lie On A Straight Line Given That Angle Y = 125 And Angle Z = 313 Work Out X

Answers

Answer 1

Answer:

∠x = 78

Step-by-step explanation:

∠y + ∠1 = 180

=> 125 + ∠1 = 180

=> ∠1 = 180 - 125

=> ∠1 = 55

∠z + ∠2 = 360

=> 313 + ∠2 = 360

=> ∠2 = 360-313

=> ∠2 = 47

∠1 + ∠2 + ∠x = 180

=> 55 + 47 + ∠x = 180

=> ∠x = 180 - 55 - 47

=> ∠x = 78

A B And C Lie On A Straight Line Given That Angle Y = 125 And Angle Z = 313 Work Out X
Answer 2

Answer:

[tex]x=78[/tex]

Step-by-step explanation:

Skills needed: Exterior Angle Theorem, Triangle Geometry:

1) We need to solve for [tex]x[/tex] and there are 2 methods to do it. I will go over the fastest way (since it's better).

This involves the exterior angle theorem (see the image attached to see how that works.

2) In order to use this theorem, we need to solve for the angle near [tex]z[/tex]. This angle would be [tex]360-z[/tex], which is [tex]360-313[/tex] (since [tex]z=313[/tex]).

[tex]360-313[/tex] = [tex]47[/tex]

3) Then, we can use the fact that [tex]y=x+47[/tex] (47 is the measure of the angle we just solved for.)

[tex]y=125[/tex], so [tex]125=x+47[/tex]

Subtract 47 from both sides, and get [tex]x=78[/tex]

Hope you understood and have a nice day! :D

Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!

A B And C Lie On A Straight Line Given That Angle Y = 125 And Angle Z = 313 Work Out X
A B And C Lie On A Straight Line Given That Angle Y = 125 And Angle Z = 313 Work Out X

Related Questions

8. Find the length of the segment indicated. Round to the nearest tenth if necessary.

Answers

Answer:

5

Step-by-step explanation:

x = 5 ( as the radius of the circle)

Write 4 3/7 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 3.14

Answers

Answer:

4.43

Step-by-step explanation:

4 3/7

~Turn into an improper fraction

31/7

~Divide

4.42885714286...

~Round

4.43

Best of Luck!

What is the slope of the line between (−4, 4) and (−1, −2)? type of line is the graph of y = 7?

Answers

Answer:

horizontal line

Step-by-step explanation:

Gradient is the slope of points

therefore,

[tex]gradient(m) = \frac{ - 2 - 4}{ - 1 - ( - 4)} \\ = \frac{ - 6}{3} \\ = - 2[/tex]

A tire sale advertised 20% off on top-grade belted tires. If the list price for a particular tire is $80, how much would you have to pay for a set of 4 new tires?
(A) $320
(B) $64
(C) $78.40
(D) $256
(E) $309.60

Answers

Answer:

D. 256

80 times 4

320 times .20

320-64

(B) $64

80 Times 4

320 Times 20

The answer is $64

what are 5 expressions that are equivalent to 12x4

Answers

Answer:

6 x 8

48 x 1

24 x 2

12 x 4

16 x 3

Are the 5 expressions equivalent to 12 x 4

PLS HELP, FINAL EXAM QUESTION!!

Which of the following functions best represents the graph?

f(x) = (x − 2)(x − 3)(x + 2)
f(x) = (x + 2)(x + 3)(x + 12)
f(x) = (x + 2)(x + 3)(x − 2)
f(x) = (x − 2)(x − 3)(x − 12)

Answers

Answer:

C

Step-by-step explanation:

The roots of the function are - 3, - 2 and 2. The function will be (x+3)(x+2)(x-2)

what is the simplified equation for: -6 + 1/4x + 3(1/4x + 6)

Answers

Answer:

[tex] - 6 + \frac{1}{4} x + 3( \frac{1}{4} x + 6) \\ \\ = - 6 + \frac{1}{4} x + \frac{3}{4} x + 18 \\ \\ = - 6 + x + 18 \\ = x + 12[/tex]

Answer:

[tex] = - 6 + \frac{1}{4x} + 3( \frac{1}{4x} + 6) \\ = - 6 + \frac{1}{4x} + \frac{3}{4x} + 18 \\ = 12 + \frac{4}{4x} \\ = 12 + \frac{1}{x} \\ = \frac{12x + 1}{x} [/tex]

Five times the sum of a number and 7 is 8

Answers

Answer:

5(n+7) = 8

Step-by-step explanation:

this is the equation you are look for if its the value of n it would be -27/5

Answer:

Step-by-step explanation:

5(x + 7) = 8

x + 7 = 8/5

x = 8/5 - 7 = -27/5 = -5.4

John is printing advertisement flyers for his business on colored sheets of paper. There
are 500 sheets of paper in one ream and a toner cartridge will print 2,000 sheets. John
has 3 toner cartridges and 15 reams of paper. Which will he run out of first?

Answers

Answer:

John will run out of toner cartridges first

Step-by-step explanation:

First, find how many sheets he can print with the 3 toner cartridges:

3(2000)

= 6000 sheets of paper

Find how many sheets of paper he has:

15(500)

= 7500 sheets of paper

Since 6000 is less than 7500, John will run out of toner cartridges first.

is y = 4.3x proportional

Answers

Answer:

yupp y is always 4.3 times more than x

Step-by-step explanation:

Step-by-step explanation:

no its not proportional

answer from Gauth math

A solid with dimensions of 3.0 cm X 4.0 cm X 2.0 cm has a mass of 28 g. Will this solid float in
water? (water has a density of 1.00 g/ml)

Answers

Answer:

no because the density is higher than water at 1.166667

Step-by-step explanation:

No, this solid doesn't float in water because the density is higher than water at 1.166667.

To find solid float in water or not.

What is density?

Density is the measurement of how tightly a material is packed together.

It is given that :

dimensions of solid is 3.0 cm X 4.0 cm X 2.0 cm

The volume in milliliters is equal to the cubic centimeters.

So volume=3.0 cm X 4.0 cm X 2.0 cm

volume=24 [tex]cm^{3}[/tex]

Mass=28 g

Density= 1.00 g/ml

By the formula,

Density=Mass/ volume

1.00 g/ml=28 g/24 [tex]cm^{3}[/tex]

1.00 g/ml<1.166667

density of solid >density of water

So, the solid sink in water because the density is higher than density of  water at 1.166667.

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Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did Ahmad travel by Train Y? b) What was the total distance that Ahmad travelled?

Answers

Hey there! I'm happy to help!

Train X takes out 1/4 of our journey.

Now, we have 3/4 of the journey left.

Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!

3/4*3/4= 9/16

So, 9/16 of the total journey is done by Train Y.

A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.

So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.

3/16d=10

Divide both sides by 3/16.

d= 53 1/3

We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.

53 1/3 * 9/16= 30

So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.

Have a wonderful day and keep on learning! :D

it confuses me when i have to fill in the in between i just dont quite understand how to work it out please explain it clearly

Answers

Make the unknown numerator be x and unkown denominotor be y

We have :  7 - [tex]\frac{x}{y}[/tex] = 6[tex]\frac{4}{5}[/tex]

            =>       [tex]\frac{x}{y}[/tex] = 7 - 6[tex]\frac{4}{5}[/tex]

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

So we need to fill in the box : [tex]\frac{1}{5}[/tex]

If the answer is helpful, Brainliest please!


20.
What is the distance from the point (3,8) to the
point (7,-6)?
a. 2V5 units
b. 2V 47 units
c. 2V 51 units
d. 2V53 units
e. 2V74 units

Answers

Answer:

the answer is d using the distance formula

Triangle ABC is s defined by the points A(2,3), B (3,4), and C(6,3). Find the perimeter of a triangle. Round to 2 decimal places if necessary. Please help me :(

Answers

Answer:

a

Step-by-step explanation:

ssdsdaaaaashjkkkllbhgdsfiii

Hey! I need help please!

Answers

Answer:

11.36

Step-by-step explanation:

because the total amount of gallons divided by 34.08 will get you 11.36

Answer:11.36

Step-by-step explanation:

8. 7.6 + (-7.1) = what does it equal plz help

Answers

Answer:

vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb

Step-by-step explanation:

for what value of x does 4x = (1/8) x+5

Answers

Answer: Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Step-by-step explanation:

Answer:

40/31

Step-by-step explanation:

4x = (1/8)x + 5

=> 4x - 5 = (1/8)x

=> 8(4x-5) = x

=> 32x - 40 = x

=> 32x - x = 40

=> 31x = 40

=> x = 40/31

The angles of a quadrilateral are in the ratio 1:2:3:4. The smallest and the largest angle are
urgent pls answer asap

thank you

Answers

Step-by-step explanation:

Let the angles of quadrilateral be

X, 2x, 3x, 4x

Sum of all angles of quadrilateral = 360

X+2x+3x+4x = 360

10x = 360

X = 360/10 = 36

Ans: the four angles are

X = 36

2x = 2 X 36 = 72

3x = 3 X 36 = 108

4x 4 X 36 = 144

does anybody knoew what 6,114 divided by 63 is? (give me explaination please) long division btw
(my cousin needs it lolz!)

Answers

Answer:

ok i hops help u

Step-by-step explanation:

The answer to 63 divided by 21 can also be written as a mixed fraction as follows: 3 0/21 Note that the numerator in the fraction above is the remainder and the denominator is the divisor. How to calculate 63 divided by 22 using long division

What is 6114 Divided by 63?

We provide you with the result of the division 6114 by 63 straightaway:

6114 divided by 63 = 97.047619

The result of 6114/63 is a non-terminating, repeating decimal.

The repeating pattern above, 047619, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 6114/63 = 97.(047619): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 6114 / 63 = 97.047619… .

6114 divided by 63 in decimal = 97.047619

6114 divided by 63 in fraction = 6114/63

6114 divided by 63 in percentage = 9704.76190476%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 6114 and 63, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 6114, and the denominator, e.g. 63, have been inserted.

 

What is the Quotient and Remainder of 6114 Divided by 63?

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 6114 divided by 63 = 97 R 3

The quotient (integer division) of 6114/63 equals 97; the remainder (“left over”) is 3.

6114 is the dividend, and 63 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of six thousand, one hundred and fourteen over sixty-three, followed by the summary of our information.

Six Thousand, One Hundred And Fourteen Divided by Sixty-Three

You already know what 6114 / 63 is, but you may also be interested in learning what other visitors have been searching for when coming to this page.

The FAQs include, for example:

What is 6114 divided by 63?

How much is 6114 divided by 63?

What does 6114 divided by 63 equal?

If you have read our article up to this line, then we take it for granted that you can answer these FAQs and similar questions about the ratio of 6114 and 63.

 

Further information, such as how to solve the division of six thousand, one hundred and fourteen by sixty-three, can be found in our article Divided by, along with links to further readings.

Conclusion

To sum up, 6114/63 = 97.(047619). The indefinitely repeating sequence of this decimal is 047619.

As division with remainder the result of 6114 ÷ 63 = 97 R 3.

solve
[tex] {49}^{x} = {7}^{3} [/tex]
please help​

Answers

Answer:

hey answer is above

god bless you

Answer:

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

Step-by-step explanation:

[tex]\displaystyle 7^3 = 49^x → 7^3 = 7^{2x} ⇉ 3 = 2x \\ \\ 1\frac{1}{2} = x[/tex]

I am joyous to assist you at any time.

classify ∠2 and ∠6. Compare angle measures, and give the postulate or theorem that justifies it.

Answers

Answer:

Explanation

Step-by-step explanation:

Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.

The two straight lines are parallel and the co-position angles are equal, ∠2 =∠6

What is angle?

An angle is formed when two straight lines as well as rays meet at a single endpoint. The point where two points converge is known as an angle's vertex. The term "angle" comes from the Latin word "angulus," that also means "corner."

Parts of Angles:

Vertex: A vertex is a corner of an angle or the intersection of two lines or sides.
Arms: The angle's two sides joined at a single end.
Initial Side: A straight line from which an angle is drawn is referred to as the reference line as well.
The side that the angle measurement is done up to is known as the terminal side.

Types of Angles:

Acute angles have a vertex angle that is less than 90 degrees.
Obtuse angles range from 90° to 180°.
At its vertex, a right angle has an exact measurement of 90°.
A straight angle is one that is 180° in length.
Reflex angles range from 180° to 360°.
A 360° angle is a full circle.

Solution:

The third straight line intersects the two parallel lines, creating angles 2 and 6.
∴ ∠2 and ∠6 are on the same side of the section line, and on the same side of the truncated parallel line.
∴ ∠2 and ∠6 are co-positions angles.
∴ ∠2 =∠6


Theorem :
The two straight lines are parallel and the co-position angles are equal.

Learn more about the angles here:
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1 Reflection across the x-axis. R(-2,2)→R J(-1,4) ► J'_ G(3,4) →G​

Answers

Answer:

Play pes or fifa mobile or bgmi or see Jordaindians

If Andrew spends 90 cents per litre and he goes 100km within 8.8 litres how far will $20 get him

Answers


It will get him to 252.5km

What is the solution to this system of equations?

Please help!!

Answers

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

x + y = 6......(1)

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

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What is the quotient of 5.67 x 107 and 2.7 x
104 expressed in scientific notation?

Answers

The answer is: 1.638063*10^3

Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.

Answers

It should be noted that a statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be;

D. The graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.

What is a graph?

It should be noted that a graph is a diagram that shows the relationship between two or more sets of numbers.

Given that;

The function is,

⇒ f(x) = - 4x³ - 28x² - 32x + 64

Now, We can draw the graph of the function,

We get;

The x-axis at x = -4 and crosses the x-axis at x = 1.

In this case, the statement that describes the graph of f(x) = -4x3 - 28x2 - 32x + 64 will be is that the graph touches the x-axis at x = -4 and crosses the x-axis at x = 1.

Learn more about graphs on:

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I need help please i reposted this question 2 times no one knows the answer.1

Answers

Answer:

12 Points

Step-by-step explanation:

Evaluate 3x-4 when x=5

Answers

Answer: 11

Step-by-step explanation:

Substitute x with 5.

3(5)-4=11

Answer:

11

Step-by-step explanation:

Plug in 5 for x to get the following expression:

3(5) - 4

Then just solve:

15 - 4

11

Anjali paid $8 for a salad. She now has
$37. With how much money did she start?

Answers

Answer:

Below.

Step-by-step explanation:

37+8= 45

45-8=37

so 45.

Answer:

45

Step-by-step explanation:

total money = amount spent plus amount remaining

total money = 8+37

total money = 45

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