help and maybe explain how to solve

Help And Maybe Explain How To Solve

Answers

Answer 1

Answer:

1) x = 55°

2) x = 30°

3) x = 68°

Step-by-step explanation:

In the given set of questions where it requires to find the unknown value of x to prove that v ||w:

Definition of Consecutive Interior Angles Theorem:

The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.

Question 1

1.)  In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠70° + m ∠ 2x° = 180°

Solve for x algebraically:

70° + 2x° =  180°

Subtract 70° from both sides:

70° - 70° + 2x° =  180° - 70°

2x° =  110°

Divide both sides by 2 to solve for x:

[tex]\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}[/tex]

x = 55°

Verify whether the value for x is valid:

70° + 2x° =  180°

70° + 2(55)° =  180°

70° + 110° =  180°

180° =  180° (True statement).

Question 2:

2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠2x° + m ∠ 4x° = 180°

Solve for x algebraically:

2x° + 4x° =  180°

Add like terms:

6x° = 180°

Divide both sides by 6 to solve for x:

[tex]\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}[/tex]

x = 30°

Question 3:

The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°.  As defined by the Consecutive Interior Angles Theorem:

m ∠90° + m ∠ (x + 22)° = 180°

Solve for x algebraically:

90° + x° + 22 =  180°

Combine like terms:

112° + x° = 180°

Subtract 112° from both sides to isolate x:

112° - 112° + x° = 180° - 112°

x = 68°

Verify whether the value for x is valid:

90° + x° + 22 =  180°

90° + 68° + 22 =  180°

180° =  180° (True statement).


Related Questions

Use mental math to find the missing number. Enter your answer in the box.42,000 ÷ = 600

Answers

Answer:

7 is the required answer.

Step-by-step explanation:

4200 ÷ 7 = 600

Which point is a solution for the inequality 3x – 2y < 5


a (3, 2)

b (2, 3)

c (5, 2)

d (8, 5)

how do I solve this?

Answers

You can solve this by substituting each x value and y value into the inequality to see if they work. If they do, that point is a solution.

3*3 - 2*2 < 5
9 - 4 < 5
5 < 5
False

3*2 - 2*3 < 5
6 - 6 < 5
0 < 5
True

3*5 - 2*2 < 5
15 - 4 < 5
11 < 5
False

3*8 - 2*5 < 5
24 - 10 < 5
14 < 5
False

B. (2, 3) is the only point that worked, so that is the answer! :D

Sorry for the spam, I really need help.

Answers

Answer:

x=8

y=18

Step-by-step explanation:

[tex](3x+13)+(7x-3)=90[/tex]

[tex]10x+10=90[/tex]

[tex]10x=90-10[/tex]

[tex]x=\frac{80}{10} =8[/tex]

[tex]3x+13=3(8)+13=24+13=37[/tex]

[tex]5y=180-37-53=90[/tex]

[tex]y=\frac{90}{5} =18[/tex]

I hope this help you

help asap :)

8 1/4 as a percent

Answers

Answer:

Its 8.25% I know this because of history of math in my family

What is r(-4)=(-4+1)(-4-3)? It’s apart of evaluating functions.

Answers

Answer:

21

Step-by-step explanation:

r=-5.25 btw

PLEASE HELP ME!!
Find the domain, in interval notation too.

Answers

I sadly do not have an answer to this problem but,  have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)

Step-by-step explanation:

Example (graph found below):

The domain of a function f(x) is the set of values of x for which f(x) has a defined value.



In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.



The slant asymptote does not affect the domain,  but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.

Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.



Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).



Answer: the domain is all the real numbers different from 0.



NOTE:

If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.

In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.

Answer:

[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]

Step-by-step explanation:

This function is rational function that's meaning that is of the form:

[tex]\frac{1}{x}[/tex]

So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).

In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.

Use the following function rule to find f(0).

f(x) = 5^x− 4

f(0) =

Answers

Helloo
So you just substitute 0 into the equation
f(0)= 5^0-4
=1-4
=-3

Hope I helped!

Answer:

-3

Step-by-step explanation:

Using the remainder and the factor theorem

5⁰-4

1-4

-3

Please help me. What is 5 3/4 - 2 11/12? I'm almost done for the year

Answers

Answer:

2.83

Step-by-step explanation:

If ∠ABC and ∠DBF are vertical angles we can conclude...

Answers

Answer:

We can conclude they are congruent

Step-by-step explanation:

Because of the vertical angles theorem

Mrs. Coulter has 3 / 5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3 / 10 yard of ribbon. How many balloons can Mrs. Coulter tie with ribbon

Answers

Answer:

I know they are not the same name but they have the same question they are the same answer

Step-by-step explanation:

#hope it helps you #happy learning

If sin(0) > 0, then in which quadrants could 0 lie? Select all correct answers.

Select all that apply:

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

I and IV

Step-by-step explanation:

based on the unity circle 0 and 360 is on the same plane..hope it's answerd

the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there​

Answers

Answer:

5:3=8

3/8 x 120

3/1 x 15

3 x 15=45

Step-by-step explanation:

hope this helps

sorry

You start by making an equation:

3x+5x=120

Then combine like terms

8x=120

Divide 8 by both sides

x=15

Now that we have that we can figure out how many children and adults there are

Children: 3x15=45 children
Adults: 5x15=75 adults

Also, you can type this in your calculator for a faster method

Children : 120 x(3/8) =45
because eight is the sum of the ratio 5+3

And Adults : 120 x(5/8)=75

So the answer to your question is 45 children.

Hope this helps!!!

I don’t get it and I’m struggling to answer it.

Answers

If the path is 2 feet wide, you actually have 14 feet of length and 6 of width.

Multiply that together and he has 84 ft left

Please help me
RIGHT ANSWERS ONLY

Answers

Answer:

90 adults

Step-by-step explanation:

Let's make this an equation

We can add 5+3 giving us 8

Let's make it 8x=144

Solve for x

Divide 8x by 8 = 1x

144 ÷ 8 = 18

Now since we're looking for the adults we multiply by 5

18*5=90 adults

Time(h)
Distance (mi)
12 3 4 5
14 26 38 50 62
The table shows Eli's distance from home as he
rides his bike at a steady rate after meeting a
friend. Write an equation in slope-intercept form
that represents the miles, y, that Eli goes in x hours.
y = 12x + 2
y = 2x + 2
y = 12x + 12
y = 2x + 12

Answers

Answer:

y = 12x + 2

Step-by-step explanation:

To know:

     [] These equations are in y = mx + b form

           () Also known as slope-intercept form

           () m is the slope

           () b is the y-intercept

Now, let's solve

     [] Slope / m

           () Slope is "change in y over change in x," let hours be our x and distance by our y

           () [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]

     [] Y-intercept / b

           () We will plug in a set of points into our current equation, then solve for b

           () y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b

Last, we will find our answer

Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2

Have a nice day! - table I made is attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Will give brainliet no file plz

Answers

Answer:

it would be C

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2

Answers

[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]

The best option is B.

B. The rate of change of the cost of the taxi ride is 3.00 per minute.

Round 0.008547 to the nearest thousandth :]

Answers

Answer:

0.855

Step-by-step explanation:

Brainliest Please!

Answer:

Step-by-step explanation:

The first zero in the tenth region

The second zero is in the hundreds region

The 8 is in the 1/1000 so look to the next digit.

It is a 5

So round 1 digit in the thousands higher.

Answer: 0.009

I need help :) pls help me:)

Answers

Answer:

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

Step-by-step explanation:

not the answer for that but ig this can help u mwa

Answer:

12.15-13.00 is 15 mins

13.00-13.30 is 30 mins

Answer-45 mins

PLEASE HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it's c

Step-by-step explanation:

because that looks like a good answer.

HELP ASAP!!!
x3+y3+z3

Answers

Answer:

= k

Step-by-step explanation:

Evaluate.

−[−1 2/5÷0.7(1.8)]−2/3

What is the value of the expression?

Enter your answer as a simplified mixed number in the box.

Answers

Answer: the answer is 2 14/15

Step-by-step explanation:

The solution of the expressions will be 0.44.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The expressions are,

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Now,

Solve the expression as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Using the BODMAS rule to solve the expressions as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

⇒ −[−1 2/5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3

⇒ - [ - 7 / 6.3 ] - 2/3

⇒ 1.1 - 2/3

⇒ 1.1 - 0.66

⇒ 0.44

Therefore,

The solution of the expressions will be 0.44.

Learn more about the mathematical expression visit:

https://brainly.com/question/2164351

#SPJ5

Line m passes through points (10, 7) and (3, 4). Line n is parallel to line m . What is the slope of line ?

Answers

Answer:

The slope is 3/7 or ~0.43

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1

7-4=3

10-3=7

3/7=0.428

ang Find any three rational numbers between 2 and 3​

Answers

Answer:

5/2, 9/4 and 19/7.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not = 0).

I just need help with these 3

Answers

Answer:

1) 11c

2) 9m - 14

3) 4x - 5

-----

4) x = 4

5) x = 2

Step-by-step explanation:

1)

10c + c

11c

2)

5m + 2( 2m - 7 )

5m + 4m - 14

9m - 14

3)

6x - ( 2x + 5 )

6x - 2x - 5

4x - 5

-----

4)

3x + 7 = -5

3x = 12

x = 4

5)

18 = 4x + 10

8 = 4x

2 = x

Hopefully this helps!

Brainliest please?

Answer:

Step-by-step explanation:

The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help

Answers

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.


How many times larger is 4 × 1011 than 2 × 106?

Answers

4*1011 is 19.07547 times larger than 2*106

Step by step Explanation:
1. 4*1011=4044
2. 2*106=212
3. 4044/212= 19.07547
4. you now have your answer.


Key:

/ means division
* means multiplication

I hope that helps

Brainliest?

..................................

Answers

….there’s nothing here?…

Which of the following fractions has a repeating decimal expansion (other than repeating zero)
A 17/20
B 17/25
C 17/3
D 17/22​

Answers

Answer:

C

Step-by-step explanation:

→ Immediately remove option A and B from the list as they convert to non recurring decimals

Option C or D are both recurring

Determine whether the following ratios are equivalent. (9:12 and 24:18)

Answers

0111100109090909099999999999999999

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