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

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Step-by-step explanation:

If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.

Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23)

Answers

It would be 1/6x+3(-3,23)

Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total

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Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)

2. Taj works as a hydrologist for the federal government. He earns an annual salary of $82,900. In addition, he earns a bonus equal to 6% of his annual salary, which is $4,974. What is Taj's annual gross pay? Your answer​

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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write 2.5 repeating as a mixed number in simplest form.

Answers

Answer:

2 5/9

Step-by-step explanation:

2.5 repeating is 2 5/9 as a fraction (mixed number) or 23/9 (fraction)

The repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

Here, we have,

To convert the repeating decimal 2.5 to a mixed number in simplest form, we can follow these steps:

Step 1:

Let's assume x = 2.5

Step 2:

Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 25.5

Step 3:

Subtract the original equation from the one obtained in Step 2 to eliminate the repeating part:

10x - x = 25.5- 2.5

9x = 23 (since the repeating part subtracts to zero).

Step 4: Solve for x by dividing both sides by 9:

x = 23 / 9.

Step 5: Express the fraction 23/9 as a mixed number:

23 ÷ 9 = 2 remainder 5.

Therefore, x = 2 remainder 5/9.

so, we get,

Thus, the repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

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The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
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Answers

Answer:

60

12 inches=1 foot so 12 ×5=60

Answer:

60

Step-by-step explanation:

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O
-3
-3.
1
2
-2
2
5
X
3
0
O
-3
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2
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x х
y
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2
0
2
3
5

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Answer:

Its the 3rd one,

Step-by-step explanation:

Because the X (Multiplier) is 1 and the Y (Initial starting point) is 3 so if you plug the numbers in, you'll get linear answers. :)

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1-C2-B

Steps:-

First put the vertices on graph and find Triangle ABC .

Then Transact it the give amount i.e 5units and get A'B'C'

To verify Pythagoras theorem.​

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Answer:

The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).

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3 because x= -3 and -x is basically - -3 which 2 negatives make a positive


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Answers

Answer:

c

Step-by-step explanation:

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Answers

Answer:

-16

Step-by-step explanation:

-k² -(3k-5n)+4n k=-1 , n= -2

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= -1-7-8

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Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms? Explain. Sample Response: If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant. Which did you include in your response? Check all that apply. Use the addition or subtraction property of equality once to isolate the variable term. Use the addition or subtraction property of equality once to isolate the constant.

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Answer:

We have to use addition or subtraction property of equality to determine the value of variable involve.

Step-by-step explanation:

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28. Ashton is hosting a banquet. He plans to spend $400, plus/minus $50, at a
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a. Find the maximum and minimum number of guests.
b. If there can be up to 7 guests per table, what is the minimum number of
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Answers

Answer:

If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.

Step-by-step explanation:

Please mark Brainliest if this helped :)

Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,

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Minimum budget = $400 - $50 = $350

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Minimum guest = Minimum budget / Budget per guest

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Answers

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Hi there!

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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colo
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Place each number in the correct location on the Venn diagram.
11. -
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G

Answers

-5/9 is rational, and its none of the other choices (integer, whole, irrational). So this value goes in the "rational" rectangle, and outside any other region.

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The number [tex]\pi[/tex] is irrational since its decimal expansion goes on forever without any known pattern.

The number [tex]\sqrt{25}[/tex] simplifies to 5. This goes in the "whole number" circle.

Check out the diagram below.

|-7-1| what is the result

Answers

Answer:

your answer is 8

hope this helped

Answer:

8

Step-by-step explanation:

|-7 - 1|

=> |-8|

=> 8

' | | ' represents absolute value

Absolute value of -ve number is +ve

Absolute value of +ve number is + ve

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o [o 3]-[1 -4
o
:I::
T:
11:40
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1
4

Answers

Answer: D

Step-by-step explanation:

dim A=(a,b), dim B=(c,d), in order to multiply, c=b

1) dim A=(1,2) , dim B=(1,2) but 2≠1

2) dim A=(2,1) , dim B=(2,2) but 1≠2

3) dim A=(2,2) , dim B=(1,2) but 2≠1

4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)

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Answers

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

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Answers

Answer:

5!=120 ways

Step-by-step explanation:

1st colour 5 ways

2nd colour 4 ways

3rd colour 3 ways

4th colour 2 ways

5th colour 1 way

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Answers

Answer:

0.16666666666

Step-by-step explanation:

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