Find the value of x that would prove y is parallel to z. State the converse used to support your answer.

Find The Value Of X That Would Prove Y Is Parallel To Z. State The Converse Used To Support Your Answer.

Answers

Answer 1

Answer:

[tex] x = 15 [/tex]

Step-by-step explanation:

By the Consecutive Interior Angles Converse, if [tex] (3x + 7) + (10x - 22) = 180 [/tex], then y is parallel to z.

Solve for x

[tex] 3x + 7 + 10x - 22 = 180 [/tex]

Combine like terms

[tex] 3x + 10x + 7 - 22 = 180 [/tex]

[tex] 13x - 15 = 180 [/tex]

Add 15 to both sides

[tex] 13x - 15 + 15 = 180 + 15 [/tex]

[tex] 13x = 195 [/tex]

Divide both sides by 13

[tex] \frac{13x}{13} = \frac{195}{13} [/tex]

[tex] x = 15 [/tex]


Related Questions

PLEASE HELP!! I REALLY NEED IT!!

Answers

the answer would be 6 planes

Answer:

6 planes i think

Step-by-step explanation:

A student has 10 coins in her pocket that have a value of $0.85. The coins are either
nickels or dimes. Which system of linear equations represents this scenario?

Answers

Answer:

[tex]\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.[/tex]

Step-by-step explanation:

System of Equations

Let's call:

x = number of nickels in the student's pocket

y = number of dimes in the student's pocket

Each nickel has a value of $0.05, so x nickels have a value of 0.05x

Each dime has a value of $0.10, so y dimes have a value of 0.10y

The student has a total of 10 coins, thus:

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

The total value of the coins is $0.85, thus

[tex]0.05x+0.10y=0.85[/tex]

The system of linear equations that represents this scenario is:

[tex]\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.[/tex]

The formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of the line and (x, y) and (x1, y1) are points of the line. Solve the equation for m, and find the slope of a line that includes the points (4, -2) and (5, 0).

Answers

Answer:

The slope of a line that includes the points (4, -2) and (5, 0) is 2

Step-by-step explanation:

You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.

The line must include the points (4, -2) and (5, 0). So, being:

(x,y)= (4,-2)(x1,y1)= (5, 0)

and replacing in the point-slope form of the equation of a line:

-2-0=m(4-5)

You solve the equation for m and get:

-2=m*(-1)

[tex]m=\frac{-2}{-1}[/tex]

m=2

The slope of a line that includes the points (4, -2) and (5, 0) is 2

Would $105.00 be correct? With the equation of Y=x(15)?

Answers

Answer:

$15.00h=N

$15.00(7)=N

$105.00=N

N=$105.00

So yes you are correct

Hope that helped

Simplify: 2(x-3)-10x+7

Answers

Answer:

-8x - 13

Step-by-step explanation:

I'm not sure if this is correct or not, sorry.

I need help plsss help

Answers

Answer: Circle = 5    Triangle = 2     Square = 6

Step-by-step explanation:  5 + 2 = 7          2 + 6 = 8              6+2 =8, 8 + 5 =13

PLEASE HELP ME! !!!!!!
at a particular time of a day a 7m high flash cast a shadow which is 8.2 metre long what is the height of the building which cast a shadow 20.5 is in length at the same moment
IT IS IM UNITARY MEATHOD
DIRECT VARIATION
I WILL MARK U BRAINLIEST ​

Answers

Answer:The height of the building which caste a shadow 20.5 m in length is 17.5 m.          

Step-by-step explanation:

Given : At a particular time of a day, a 7 high flagstaff castes a shadow which is 8.2 m long.

To find : What is the height of the building which castes a shadow 20.5 meters in length at the same moment?

Solution :

A 7 high flagstaff castes a shadow which is 8.2 m long.

i.e. Shadow of length 8.2 m = 7 m

The shadow of length 1 m =  m

The shadow of length 20.5 m =  m

The shadow of length 20.5 m = 17.5 m

Therefore, The height of the building which caste a shadow 20.5 m in length is 17.5 m.

help and explain to me please​

Answers

Answer:

The answer is A

Step-by-step explanation:

x must be less than 10

x must be greater than 2

these are expressed in the statement:

2 < x < 10

Answer:

Answer choice 1

Step-by-step explanation:

x is less than 10, but x is GREATER, than 2. That means it would look like this 2<x<10 or 10>x>2. Answer 1 has 2<x<10

Write an inequality to determine the number, t, of tickets the commitee

Answers

Answer:

If it is the dance committee question the answer is 400<72+4t. Hope this helps!

AWARDING BRAINLIEST! Find the equation of the given line: Line C​

Answers

Answer:

y=2/3x-2

Step-by-step explanation:

Evaluate the following.
10-2-3+4x4

Answers

Answer:

Step-by-step explanation:

10-2= 8 -3 = 5 +4 =9 *4 =36

Answer:

21

Step-by-step explanation:

Did you mean "4 times 4?" or '4x^4?"

I will assume you meant the first interpretation.  

Order of operations rules require that we do multiplication before addition and subtraction.  Thus, multiplying 4 by 4, we get:

10 - 2 - 3 + 16

which simplifies to 21

Note:  Please use " * " to indicate multiplication:  4*4 = 16, or 4·4 = 16.

Given: y= -7X-14
1. What is the slope of the graph of the given function?

Answers

Answer:

Slope intercept form: y=mx+b

The m above always represents the slope of the equation.

The slope of y= -7x-14 is   -7

SV−→bisects ∠RST. If m∠RSV = 64, what is m∠RST?

Answers

Given:

[tex]\overrightarrow{SV}[/tex] bisects ∠RST.

[tex]m\angle RSV=64^\circ[/tex]

To find:

The [tex]m\angle RST[/tex].

Solution:

Since, [tex]\overrightarrow{SV}[/tex] bisects ∠RST, therefore

[tex]m\angle RSV=m\angle VST[/tex]         ...(1)

Now,

[tex]m\angle RST=m\angle RSV+m\angle VST[/tex]

[tex]m\angle RST=m\angle RSV+m\angle RSV[/tex]         [Using (1)]

[tex]m\angle RST=2\times m\angle RSV[/tex]

[tex]m\angle RST=2\times 64^\circ[/tex]              [tex][\text{Given }m\angle RSV=64^\circ][/tex]

[tex]m\angle RST=128^\circ[/tex]

Therefore, the value of [tex]m\angle RST[/tex] is [tex]128^\circ[/tex].

what is 0.0000137 in scientific notation

Answers

Answer:

The last option = 1.37 × 10 race to -5

Which expression is equivalent to 3x-5? A. 2x-4-1+x, B. -x+x+x-1-1-1-1-1, C. -5-3x, D. 3x+5

Answers

Answer:

2x – 4 – 1 + x

Step-by-step explanation:

Answer:

A 2x-4-2+x

Step-by-step explanation:

Angle LMN has a measure of 35∘ . The angle is rotated 75∘ about point M to create angle L'M'N'. What is the measure of angle L'M'N'?

Answers

Given:

Angle LMN has a measure of 35°.

The angle is rotated 75° about point M to create angle L'M'N'.

To find:

The measure of angle L'M'N'.

Solution:

We have,

[tex]m\angle LMN=35^\circ[/tex]

The angle LMN is rotated 75° about point M to create angle L'M'N'.

We know that, rotation is a rigid transformation. So, after rotation the corresponding sides and angles remains congruent.

It means,

[tex]m\angle L'M'N'=m\angle LMN[/tex]

[tex]m\angle L'M'N'=35^\circ[/tex]

Therefore, the measure of angle L'M'N' is 35°.

Rewrite 3(4a - 2b + c) using the Distributive Property
Hurry need help for test

Answers

Answer:

12a-6b+3c

Step-by-step explanation:

Hope this helps and can I get brainliest!

Answer:

To apply the Distributive Property you must multiply the term outside the parenthesis by each term within the parenthesis. Ensure you pay close attention to signs. Remember a negative number times a negative number is a positive number.

2

(

3

a

2

b

)

2

3

a

2

2

b

6

a

4

b

6

a

+

4

b

Step-by-step explanation:

hope this helps! :P

What single decimal multiplier would you use to decrease by 3% followed by a 3% decrease?

Answers

Answer:  0.9409

A 3% decrease means you still have 100% - 3% = 97% left

The multiplier here would be 0.97

If you do another 3% decrease, you will use another multiplier of 0.97

Multiply 0.97*0.97 to get 0.9409

So this is a 1-0.9409 = 0.0591 = 5.91% decrease overall

Which property of real numbers is shown below?

-6 + 6 = 0
associative property of addition
commutative property of addition
identity property of addition
inverse property of addition

Answers

Answer:

Inverse Property of Addition

Step-by-step explanation:

The Inverses Property of Addition states that any number plus it’s opposite will equal zero.

Have a great day!

Answer:

d

Step-by-step explanation:

5. Express the product as a polynomial in simplest form:
(x + 5)(x - 5)(2x + 3)

Answers

Answer:

2x^3+3x^2-50x-75

Step-by-step explanation:

(x+5)(x-5)=x^2-25

(x^2-25)(2x+3)=2x^3+3x^2-50x-75

Can I have brainliest!

Solve for x. −3/4x≥12 Will name brainliest!

Answers

Answer:

[tex]\boxed{x \leq -16}[/tex]

Step-by-step explanation:

[tex](-\frac{3}{4})^{(x)} \geq 12[/tex]

Simplify both sides of the inequality.

[tex]\frac{-3}{4} x \geq 12[/tex]

Multiply both sides by 4/(-3).

[tex](\frac{4}{-3}) * (\frac{-3}{4}x) \geq (\frac{4}{-3}) * (12)[/tex]

[tex]= x \leq -16[/tex]

Hope this helped you!

Answer:

x  ≤ -16

Step-by-step explanation:

−3/4x ≥ 12

3/4x ≤ -12

3x ≤ -12(4)

3x ≤ -48

x  ≤ -48/3

x  ≤ -16

1.Which describes how to rename a percent as a decimal?
A. divide the percent by 100 and remove the percent sign
B. Divide the percent by 10 and remove the percent sign
C. Multiply the percent by 10 and remove the percent sign
D. Multiply the percent by 100 and remove the percent sign

Answers

the answer is c and d

9j + 6 = -4 + 10j
j= Help ASAP

Answers

Answer:

10=j

Step-by-step explanation:

i did the math and typed it in and clicked the "add answer" button

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

9*j+6-(-4+10*j)=0

Step by step solution :

STEP
1
:
Solving a Single Variable Equation

1.1 Solve : -j+10 = 0

Subtract 10 from both sides of the equation :
-j = -10
Multiply both sides of the equation by (-1) : j = 10



j = 10

f(x) = square root of x+9 ; g(x) = 8x - 13
Find f(g(x))

Answers

Answer:

[tex]\sqrt{8x-4}[/tex]

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(8x - 13)

= [tex]\sqrt{8x-13+9}[/tex]

= [tex]\sqrt{8x-4}[/tex]

While practicing basketball Jude made 24 baskets in 90 seconds. At this rate how many baskets will he make per hour?

Answers

Answer:

960 baskets.

Step-by-step explanation:

proportion: 24/1.5=x/60

1.5x=1440

x=960

help pleaseeee i don’t know how

Answers

Answer:

b

Step-by-step explanation:

b=90-a(the other angle)

ex. b=90-51, because it is a right angle.

5) 3x+7+56=90

6)3x+6+48=90

1. The largest alligator ever caught in Mississippi weighed 727 pounds, whats an inequality that represents the weights of every other alligator that has ever been caught in Mississippi?​

Answers

Answer:

x < 727 pounds

Step-by-step explanation:

Let the weights of every other alligator caught in Mississippi be represented with the variable [tex]x[/tex]

For the largest alligator ever caught to weigh 727 pounds, that means that the weights of every other alligator caught in Mississippi will definitely be less than 727 pounds.

To show this inequality, we will use the less than symbol ( < )

Hence, we have  [tex]x <727 pounds[/tex]

The measure of a base angle of an isosceles triangle is 13
more than 3 times the measure of the vertex angle. How
many degrees are in the vertex angie?

Answers

A vertex angle is 180 degrees so finding the answer should be easy

What is 2 plus 2 cause I don’t know and I really need help I’m add word for more points so yea I think this is enough

Answers

Answer:

4

Step-by-step explanation:

Answer:

Its 4 ( four )

Step-by-step explanation:

2+2=4

because 6 year of my life was wasted by school so i know

Can someone help me? I really need help if u can, thank you.

Answers

Answer:

y = 2x + 3/2

Step-by-step explanation:

4x - 2y = -3

y = mx + b

-2y = -3 - 4x

y = 3/2 + 4/2x

y = 3/2 + 2x

y = 2x + 3/2

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