Lines q and r are parallel. Parallel lines q and r are cut by transversals s and t. The angles formed by the intersection of lines q, s, and t, clockwise from top left, are blank, 53 degrees, blank, 57 degrees, blank, blank; formed by s and r are blank, 5 x degrees, blank, blank. What is the value of x? 14 22 53 70.

Answers

Answer 1

Alternate Interior Angles are formed on the interior of the parallel lines, on the opposite sides of the transverse. The value of x is 14.

What are Alternate interior angles?

When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.

As we can see in the centre where the triangle is formed, the measure of the different angles can be written as,

Vertically opposite Angles, [tex]\angle A = 53^o[/tex]

Alternate Interior Angles, [tex]\angle C = 57^o[/tex]

[tex]\angle B = 5x[/tex]

Now, the sum of all the angles of this triangle can be written as,

[tex]\angle A+\angle B+\angle C = 180^o\\\\53^o + 5x + 57^o = 180^o\\\\110^o + 5x = 180^o\\\\5x = 180^o-110^o\\\\5x = 70^o\\\\x = 14[/tex]

hence, the value of x is 14.

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Lines Q And R Are Parallel. Parallel Lines Q And R Are Cut By Transversals S And T. The Angles Formed
Answer 2

Answer:

22

Step-by-step explanation:


Related Questions

What is the solution?

Answers

Answer:

MAYBE IF YOU STUDIED YOU'D KNOW THE ANSWER

Step-by-step explanation:

A shop sells school supplies. a) Pens are sold in boxes. Each box contains 12 pens. How many pens are there in 5 boxes? How many pens are there in 50 boxes? How many pens are there in 200 boxes?​

Answers

Answer:

60,600,2400

Step-by-step explanation:

12 x 5=60, 50 x 12=600, 200 x 12=2400.

What is the coefficient in the expression 8−x/7

Answers

Answer:

8

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

Y+5.6=8.28
So what does y = to ?

Answers

2.68
Subtract 8.28 and 5.6 to get y then plug the answer in to check your work!

Answer:

Y = 2.68

Step-by-step explanation:

Y + 5.6 = 8.28

To find Y, you would need to subtract 5.6 from both sides:

Y + 5.6 - 5.6 = 8.28 - 5.6

So that would simplify to:

Y = 8.28 - 5.6

8.28 - 5.6 = 2.68

So Y = 2.68

Hope this helps :)

2. In square MISA, the diagonals intersect at point P. If m_MPA

= (2s + 3t)º, MZISP = (4r + s)° and m_MIS = (3s – 2t)º, find

the values of r, s, and t.

Answers

The diagonal of the square MISA bisect the angle at the vertices

The values of r, s and t are r  = 2.6, s = 34.6 and t = 6.9

How to determine the values of r, s and t?

The given parameters are:

MPA = (2s + 3t)º

ISP = (4r + s)°

MIS = (3s – 2t)º

The angle between the diagonal of a square is 90 degrees.

So, we have:

2s + 3t = 90

Multiply by 2

4s + 6t = 180

The angle at the vertices of the square is 90 degrees.

So, we have:

3s - 2t = 90

Multiply by 3

9s - 6t = 270

The diagonal bisect the angle at the vertex.

So, we have:

4r + s = 45

Rewrite the equations

4s + 6t = 180

9s - 6t = 270

4r + s = 45

Add the first and the second equations

4s + 9s + 6t - 6t = 180 + 270

13s= 450

Divide by 13

s = 34.6

Substitute s= 34.6 in 4r + s = 45 and 3s - 2t = 90

4r + 34.6 = 45

Solve for r

r  = 2.6

3 * 34.6 - 2t = 90

Solve for t

t = 6.9

Hence, the values of r, s and t are r  = 2.6, s = 34.6 and t = 6.9

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Which of the following is a solution of the equation 6​y​ + 8 = 20?
1 ) 2
2) 14/3
3) 1/2
It can be more than one

Answers

Answer:

y=2

Step-by-step explanation:

6y+8=20

6y=12

y=12÷6

y=2

Hope this helps! :)

Move over the 8
6y = 20-8
6y=12
Y=12/6
Y=2

find the result graphically. click and drag the arrows to represent each term. type in the result ( mejor si habl español )

8+(-2)​

Answers

Answer:

6

Step-by-step explanation:

8-2=6

The result after solving graphically is → +6.

We have the following expression -

8 + (-2)

We have to find the result graphically.

What is Number line ?

In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

According to the question, we have -

8 + (- 2)

Now, 8 + (-2) can  be written as -

8 - 2

Refer to the image attached -

A distance of 8 units is marked. From it 2 is subtracted. Remaining result will be = + 6.

Hence, the result after solving graphically is → +6.

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A soccer ball is kicked upward from a height of 2 feet with an initial vertical velocity of 30 feet per second. The function: h(t)=-16t^2+30t+2h(t)=−16t 2+30t+2 represents this situation.

To the nearest hundredth of a second, when will the soccer ball hit the ground?

Answers

It would take about 1.94 seconds for the soccer ball to hit the ground.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the soccer ball after time t, hence:

h(t) = -16t² + 30t + 2

The soccerball hits the ground when h = 0, hence:

0 = -16t² + 30t + 2

t = 1.94 seconds

It would take about 1.94 seconds for the soccer ball to hit the ground.

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A recipe calls for 375 g of flour for every 50 g of sugar. How much flour would you need if you used 125 g of sugar?

Answers

Answer:

Let's order the units because it can help us better;

Flour          375g            x

_______     _______ = ________ , next we solve for x;

Sugar         125g          50g

375/125 = x/50

x = 150

Solve this equation:
3y-4=6 -2y

Answers

Answer:

y = 2

Step-by-step explanation:

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]3y-4+4=6-2y+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3y=-2y+10[/tex]

[tex]\mathrm{Add\:}2y\mathrm{\:to\:both\:sides}[/tex]

[tex]3y+2y=-2y+10+2y[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5y=10[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

y = 2

~Learn with Lenvy~

Answer:

y = 2

Step-by-step explanation:

Rearrange terms

3y -4 = -2y +6

Add 4 to both side

3y -4 +4 = -2y +6+4

Simplify

3y = -2y + 10

Add 2y to both sides

3y +2y = -2y + 10 +2y

Simplify

5y = 10

Divide both sides by the same factor

5y/5 = 10/5

Simplify

y = 2

[RevyBreeze]

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 kg to 28 kg

Answers

Answer:

28/12

Step-by-step explanation:

Can somebody please help me with this

Answers

Answer:

Check the image

Step-by-step explanation:

Hope this helps!

The average high temperature is -67०F and the average low temperature is -81०F. How much higher is the average high than the average low?

Answers

Answer:

14.

Step-by-step explanation:

-67 - (-81)=14


In this polygon, all angles are right angles What is the area of this polygon?

Answers

Answer:

428 square ft

Step-by-step explanation:

to do this you can break the shape up into multiple pieces

you can do it this way

the top left part of the polygon could be one shape

9 by 10

this is because if the left side is 23 and part of the left side is 13 the leftover part is 10

then the bottom is 13 by 26

then you multiply and add them together

(9 * 10) + (13 * 26) = 90 + 338

then you add

90 + 338 = 428

the answer is 428 square ft

What is the slope of the line containing the points (5,-8)
and (-5,8)?

Answers

Answer: m = -⁸⁄₅

PLz mark brsinliest:)

The slope of the line containing the points (5,-8) and (-5,8) is -8/5 after using the concept of the slope of a line.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line containing the points (5,-8) and (-5,8)

A straight line is a combination of endless points joined on both sides of the point.

As we know from the formula of the slope:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rm m =\dfrac{8-(-8)}{-5-5}[/tex]

m = (8 + 8)/(-10)

m = -16/10

m = -8/5

Thus, the slope of the line containing the points (5,-8) and (-5,8) is -8/5 after using the concept of the slope of a line.

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Carlos wants to send Cecil a message encrypted with RSA. Cecil has published his public encryption exponent $5$ and his public modulus $133$. When Carlos encrypts the number $3$ with this system, what is the result?

Answers

Answer:

110

Step-by-step explanation:

The required result from the encryption of the number $3$ is 110.

Given that,
Carlos wants to send Cecil a message encrypted with RSA. Cecil has published his public encryption exponent $5$ and his public modulus $133$. When Carlos encrypts the number $3$ with this system, what is the result is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
Encrypt message M = 3
Public key = (133, 5)
When [tex]M^e[/tex] = [tex]3^5[/tex] = 243 divided by 133 gives the remainder of C = 110,

Thus, the required result from the encryption of the number $3$ is 110.

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Do I need to show work can some help me no links

Answers

Answer:

Your answer is 100

Step-by-step explanation:

Big rectangle:

10 x 8 = 80

Small square:

4 x 4 = 16

Triangle:

to find base of triangle add 8 and 4, after subtract it from 14, you get 2, the height is 4.

1/2(2 x 4)

1/2(8)

8 / 2 = 4

Add all area:

80 + 16 + 4 = 100

a student believes...

Answers

Answer:

B

Step-by-step explanation:

This is correct because we already know that the two sides are congruent and that we have one more side we need to prove congruent. Well, it is congruent because it's just lined up next to each other, so they're equal which is BD=DB. This would make it so it would be SSS and the two triangles are congruent.

Please let me know if you need further explanation.

Luna went over to a friend's house to play. She arrived at her friend's house at 9:23 A.M. and went back home at 2:06 P.M. How long did Luna stay at her friend's house?

Answers

Step-by-step explanation:

AM switches to PM at 12 PM.

so, we need to calculate the time from 9:23 am to 12 pm, and then from 12 pm to 2:06 pm, and then add both for the overall answer.

the first full hour after 9:23 am is 10 am. from there it is 2 hours to 12 pm.

how many minutes from 23 minutes to 60 (of the next full hour) ? 60 - 23 = 37 minutes.

so, it is 2 hours and 37 minutes until 12 pm.

and from 12 pm to 2:06 pm it is 2 hours and 6 minutes.

the total time is then

2 hours 37 minutes + 2 hours 6 minutes =

= 2 + 2 hours 37 + 6 minutes = 4 hours 43 minutes

FYI

if the sum of the minutes would have been larger than 60 (like e.g. 53 + 12), then we would have had to add another hour as a carry over, and take the remainder of minutes/60 as minutes.

e.g.

2 hours 53 minutes

3 hours 12 minutes

would sum up to

5 hours 65 minutes = 6 hours 5 minutes

Does anyone know?????

Answers

Answer:

90 degrees, and 180 degrees

Step-by-step explanation:

it flips, turns a little so 90 and 180 degrees

Vince has 19 cupcakes. He divides them evenly among 7 friends. How many cupcakes does
each friend get?
Answer:
Explain:
Pls help my teacher said to also turn it into a fraction something like that

Answers

Answer:

1

Step-by-step explanation:

You find a number that divides 7 to equal 19.

[tex]\tt \dfrac{19}{7}=2\dfrac{5}{7}[/tex]

During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions
101 - 6+ 2. = 4(3x - 1) - 2
Terrence concluded that the equation has infinitely many solutions
Determine if Terrence's conclusion is correct that the equation has infinitely many solutions
Show each step of your work and justity your thinking
Enter your answer work, and justification in the box provided

Answers

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

How to determine the number of solutions?

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

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Given the sequence, 3, -9,27,-81 ...
What is the 15th term, assuming the pattern continues

Answers

Fist : 3

then

second : x (-3) = - 9

third : x (-3) = 27

x (-3) = - 81

the 15 term ?

first one = 3 x (-3)⁰

second one = 3 x (-3)¹

third one = 3 x (-3)²

so n one = 3 x (-3)ⁿ⁻¹

then the 15th one = 3 x (-3)¹⁴

need help to answer this question please

Answers

Answer:

width = 3 cm

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

given A = 27 and length = 9 , then

9 × width = 27 ( divide both sides by 9 )

width = 3 cm

༒ Here's your Answer ~

❖ What we need to know before we solve ~

❝ Area of a rectangle is ❞ = ❝ Length × Width ❞

✠ Given terms :

➺ Area = 27 cm²

➺ length = 9 cm

✠ Now, let's assume the width to be ❝ x cm ❞ and proceed to find its value using given relation ~

[tex]\qquad \: \twoheadrightarrow\sf Area = L × B [/tex]

[tex]\qquad \: \twoheadrightarrow\sf 27 = 9 × x [/tex]

[tex]\qquad \: \twoheadrightarrow \sf x = 27 ÷ 9[/tex]

[tex]\qquad \: \twoheadrightarrow \sf \: x = 3 \: cm[/tex]

✠ Therefore, The width of the rectangle = 3 cm

[tex]\qquad\qquad \qquad\huge \dag  \normalsize\sf\boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

╭─━━━━━─╯Thanks╰─━━━━━─╮

BRAINLY AND POINTS
PLEASE HELP

Answers

Answer:

Further from

Step-by-step explanation:

GOOD LUCK

A washing machine has the following cycle: soak for 15 minutes, wash for 30 minutes, and rinse for 10
minutes. If you approach the machine at a random during the cycle, what is the probability that the cycle will be
in the rinse phase when you arrive at the machine? Round your answer to the nearest hundredth.

Answers

Answer:

0.18

Step-by-step explanation:

Show the process also please...​

Answers

Answer: 5

Step-by-step explanation:

f (x) = 3x + 1 ; g (x) = 3x What is f (g (x) )

Answers

Answer:

f(g(x)) = 9x + 1

Step-by-step explanation:

f(x) is defined as 3x + 1.  To find f(g(x)), substitute g(x) = 3x for x in f(x):

f(g(x)) = 3(g(x)) + 1 = 3(3x) + 1 = 9x + 1

or:

f(g(x)) = 9x + 1

Why does a square root function not have a domain of all real numbers

Answers

A square foot function does not have a domain of all real numbers since it can not take the square root of a negative number.

Y=-2x+5 what is the slope of the line can best describe as

Answers

Using the slope-intercept form, the slope is 2 .

Step-by-step explanation:

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