Complete the proof that m∠QSR+m∠UVX=180°.

Complete The Proof That MQSR+mUVX=180.

Answers

Answer 1

Answer:

Co - interior angles of a parallelogram add up to 180 degrees

Step-by-step explanation:

Since UW and RT are parallel lines we can infer that if the QSR was flipped and joined to UVX it would create a parallelogram. Angle theorem states that co -interior angles of a parallelogram add up to 180 degrees.

Answer 2

Using properties of parallel line we can prove that

m ∠QSR + m ∠UVX =180°.

What parallel lines?

Numerous pairs of angles are created when a transversal line intersects any two parallel lines. While some angles are complementary, others are congruent (equal).

Properties of Parallel Lines

The fundamental characteristics listed below make it simple to recognize parallel lines.

Straight lines that are always the same distance away from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.

Given:

We have to prove that m ∠QSR+ m ∠UVX=180°.

Now, using parallel line property

<QSR = <SUV ( corresponding angle).........(1)

and, <SVU + <UVX = 180 (linear pair)

<QSR + <UVX = 180 ( from (1))

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Related Questions

you need to do 300 hours of community service for a scholarship. you have served 135 hours so far. write and solve an inequality that represents the number of hours h that you have left to work.

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You need 165 hours left to work.

What is 184.24 to 4 significant figures

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184.2 is the answer to 4 significant figure

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WHEN THE BIRDS FLYING IN THE FIRE COZ THE MOON IS RECTANGLE I LIKE COLOR YELLOW COZ MY POP IS CIRCLE

1. Cheryl is planning to spend $15 on a Christmas gift for her father. He needs new socks and ties. A store has socks on sale for $3 and ties for $5. Write an equation in standard form that
represents this situation.

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Answer:

4 dollars in total

Step-by-step explanation:

its 75 after the spend

10X10
yesssssssssssssssss

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100

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Answer:

100

Step-by-step explanation:

how do I solve this? 4-0,9+(-0,11)-(-1,3)

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Answer:

Hope it will help a lot ask for more info

Which rule explains why these scalene triangles are similar?

A. SSS
B. SAS
C. AA
D. None of the above; the triangles cannot be proven similar

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Answer:

D.  none of the above

Step-by-step explanation:

no side lengths given

no angles are the same in both triangles

A) SSS BECUAE explosion why there scalene triangle are similar

Please help ... need help

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Answer:

c maybe

Step-by-step explanation:

Solve the math problem

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The slope of the given line is Undefined because it is parallel to y - axis ~

Answer:

zero

Step-by-step explanation:

A 4-card poker hand is dealt at random from a standard 52-card deck. What is the total number of possible hands

Answers

Answer:

Step-by-step explanation:

The first choice is 1 out of 52

The second choice is 1 out of 51 because 1 card went with the first choice

The third is 1 out of 50

The fourth is 1 out of 49

Number of hands = 52*51*50*49

Number of hands = 6497400

A movie theater used Y=KX to calculate how much money
they made selling 9 buckets of popcorn. They determined they
made 45.99 dollars. How much was it for each bucket?

Answers

They charged like $4.19for each bucket of popcorn

Function or not a Function​

Answers

Answer:

Function; Not a function

Step-by-step explanation:

Write the ordered pair in the first set (x, y):     (1, 11), (2, 7) , (3, 2)

Write the ordered pair in the second set (x, y):     (1, 3), (1, 4),  (2, 4) , (3, 2)

The first set in a function because no ordered pair has the same x value.

The second set in not a function because the x value is the same in two of the ordered pairs.

Help!
I do not understand a single thing lol I’m sorry<3

Answers

= 8

step-by-step explanation:

evaluate

-8c⁴ d +4c² + 16c - 2d

when c =-1 ,d=4

=8

hope it helps!

#carry on learning

[tex] {4c}^{2} d {}^{2} - 8c {}^{4} d + 16c - 2d \\ the \: value \: of \: c = - 1 \\ the \: value \: of \: d \: = 4 \\ 4 \times {( - 1)}^{2} \times {4}^{2} - 8 \times {( - 1)}^{4} \times 4 + 16 \times ( - 1) - 2 \times 4 \\ 4 \times 16 - 8 \times 4 - 16 - 8 \\ 64 - 32 - 16 - 8 \\ 8[/tex]

Sorry if I am incorrect.....

Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.

Answers

3x+2y=-12
3x+2y+ 12=-12+12
-12+12=0
The answer is 0

can somebody please help me

Answers

The answer would be B

If you distribute -2(x-4) you would do -2 times X which would get you to -2x and you would do -2 times -4 which would be positive 8 so -2x+8
The correct choice is C




Sorry is this is wrong!!

What is the surface area of a cuboid?​

Answers

As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows: Assume that, l, w, h be the length, width, and height of the cuboid respectively. Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.

Trevor found that a circle has a circumference of 15 ft. What is the diameter & radius of the circle? Write & solve an equation. Leave your answer as a decimal.

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Answer: R = 2.38732415 D = 4.7746482927568605

I tried to solve it but I still don't get it

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Answer:

x^3 - 4x^2 - 6x + 3

Step-by-step explanation:

Divide using polynomial division.

The graph below shows the height through which an elevator travels, y, in x seconds:

What is the rate of change for the relationship represented in the graph?

1 over 15
1 over 14
14
15

Answers

The answer will be 1 over 15

I know the answer to the question but what is 45292062 + 64829162629 + 123146 =

Answers

Answer:

64874577837

Step-by-step explanation:

you simply add the numbers

45292062 + 64829162629 + 123146 =

64874454691 +123146

64874577837

IVE BEEN WORKING ON THIS ALL DAY


Two arithmetic sequences A and B both begin with 30. Sequence A has common difference 9 and sequence B has common difference 4. What is the difference between the 51st term of A and the 51st term of B?

Answers

The n-th term of an arithmetic sequence with first term a and common difference d is

a + (n - 1) d

So, the 51st term of A is

30 + 9 (51 - 1) = 480

while the 51st term of B is

30 + 4 (51 - 1) = 230

The difference between them 480 - 230 = 250.

Please help me finish my math homework

Answers

Answer:

x³+y³+z³=k

Explanation:

I talk, he talk, why you middle talk? You rotate the ground 4 times. You go and understand the tree.  I'll give you clap on your cheeks. Bring your parents and your mother and especially your father.  Close the window airforce is coming. I have two daughters and both are girls. Stand in a straight circle. Don't stand in front of my back

1. The order of the angles from smallest to greatest is PQR, QRP, PRQ.

2. The value of x + y is (2x + 179)/7.

3. Triangle GHK is isosceles because angles H and K are congruent.

4. The hypotenuse is always the longest side of a right triangle.

1. To determine the order of the angles in the given triangle, we can use the fact that the largest angle will be opposite the longest side. Let's compare the lengths of the sides:

- PQ = 5.6

- PR = 6.1

- QR = 5.2

From the given lengths, we can see that PR is the longest side. Therefore, angle PRQ will be the largest angle. Now we need to compare the remaining two angles, PQR and QRP. Since QR is the shortest side, angle PQR will be the smallest angle. This means that the order of the angles from smallest to greatest is: PQR, QRP, PRQ.

2. In a triangle, the sum of the interior angles is always 180 degrees. Given the angles in terms of y and x, we can set up an equation:

(4y - 8) + (3y + 9) + 5x = 180

Combining like terms:

7y + 5x + 1 = 180

To find the value of x + y, we need to solve for y in terms of x first. Let's isolate y:

7y = 180 - 5x - 1

7y = 179 - 5x

y = (179 - 5x)/7

Now, we can substitute this expression for y into the equation x + y:

x + y = x + (179 - 5x)/7

To simplify further, we can distribute the division:

x + y = (7x + 179 - 5x)/7

x + y = (2x + 179)/7

Therefore, the value of x + y is (2x + 179)/7.

3. To prove that triangle GHK is isosceles, we need to show that two of its sides are congruent. Given that angle H is 56 degrees, and angles IKJ and H are alternate interior angles, we know that angle IKJ is also 56 degrees. Since angle IKJ is 68 degrees, this implies that angle KJI is 112 degrees (180 - 68 = 112).

Now, considering triangle GHK, we have:

- Angle G = 180 - (angle H + angle K) = 180 - (56 + 112) = 180 - 168 = 12 degrees

Since angle G is 12 degrees, and angles G and H are alternate interior angles, we know that angle H is also 12 degrees.

Therefore, we have two angles in triangle GHK that are congruent, namely angle H and angle K, making it an isosceles triangle.

4. Proof that the hypotenuse is always the longest side of a right triangle:

Let's consider a right triangle with sides a, b, and c, where c is the hypotenuse.

According to the Pythagorean theorem, which is a fundamental property of right triangles, we have:

[tex]c^2 = a^2 + b^2[/tex]

To compare the lengths of a, b, and c, let's square all the sides:

[tex]a^2, b^2, and c^2[/tex] are all positive since they are the squares of real numbers.

Now, if we examine the inequality [tex]a^2 + b^2 < c^2[/tex], we can see that the sum of the squares of the shorter sides is less than the square of the hypotenuse.

Since [tex]c^2 = a^2 + b^2[/tex], the inequality becomes [tex]a^2 + b^2 < a^2 + b^2[/tex], which is not possible.

Therefore, we can conclude that in a right triangle, the hypotenuse (side c) is always the longest side.

To know more about Triangle, refer here:

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Write the slope-intercept form of the equation of a line parallel to y=-2/3x+12 that has a y-intercept of -13 (step by step)

Answers

Answer:

y = -2/3x - 13

Step-by-step explanation:

The slope remains the same, but the y-intercept changes to -13

A barge traveled 30 miles up a river in 5 hours What was the average rate of travel, in miles
per hour, of the barye?

Answers

Answer:

6 miles per hour

does this help??

Step-by-step explanation:

Average speed = distance/time = 30/5 = 6 miles/hour

No one i don't know use this

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Answer:

Lol

Step-by-step explanation:

Why did you put your school email in this? lol

If you put $6.57 into a savings account that earns 6%, how much interests
will you receive at the end of seven years?

Answers

Answer:

817.51

Step-by-step explanation:

Answer number 10 no links

Answers

Answer: 6

Step-by-step explanation:if you add -5 1/3 plus (-2/3) that equals to -6 and if you are adding you gotta add a positive 6 to the negative 6 and that makes 0

Hello There!!

Given:-

[tex] - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0[/tex]

To find

The missing term

Taking the missing term as "x"

Solution

[tex] - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0 \\ \\ \implies - \frac{ 16}{3} - \frac{2}{3} + x = 0 \\ \\ \implies \frac{ - 16 - 2}{3} + x = 0 \\ \\ \implies \frac{ - 18}{3} + x = 0 \\ \\ \implies \cancel \frac{ - 18}{3} + x = 0 \\ \\ \implies - 6 + x = 0 \\ \\ \implies x = 0 + 6 \\ \\ \implies x = \red6[/tex]

[tex] \therefore \tt{The \: \: missing \: \: term= 6}[/tex]

Hope This Helps

(-1,-1) has a slope of -6

Answers

Answer:

y=-6x+5

Step-by-step explanation:

In all but the worst weather, Sarah and three coworkers meet each day at 4:45 to walk the river trail behind their office building. The four coworkers are an example of a(n)

Answers

The coworkers meet each day after the official work hours, then they are an example of an informal group. An informal group is a group made up of people to discuss non-official matters.

The two major types of groups relating to official function are formal and informal. Formal groups are groups formed by the management for a specific or official purpose. This type of groups discuss official matters and issues, and probably are dissolved after achieving the purpose of forming the group.

Informal groups are groups formed by a set of workers( which may sometimes include an external person) formed to discuss non-official maters. The members meet at the non-official hours to deliberate, gist or discuss personal and other relating issues.

Therefore, the four coworkers mentioned in the given question are an example of an informal group.

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3p - 8 = -23
What value of p makes this equation true
A. p= -6
B. p= -5
C. p= 5
D. p= 7

Answers

The answer is B.
3p - 8 = -23
+8. +8
3p = -15

Divide 3 on both sides of the equation.

P = -5
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