Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
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m26
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Given: Y || ZProve: MZ5+ M2 2 + M26 = 180Angles Lines Statements Reasons21232526m21m23m25m26LAM123yStatementsReasons4567zAssemble

Answers

Answer 1

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is the Triangle Sum Theorem?

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about triangle sum theorem on:

https://brainly.com/question/7696843

Answer 2

The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

What is Angle Sum Property?

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about Angle Sum Property here:

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Related Questions

try these.Evaluate the following logarithms.​

Answers

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]

7. Write an inequality that matches the graph shown.

Answers

Answer:

To make an inequality its in the part that is shaded so

Step-by-step explanation:

(-2,-2) (-4,1) ETC

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

115°

Step-by-step explanation:

From E to B is 180°.

So when looking at angle ACB we get 65°

The angle ACE is equal to 180° - °65 = 115°

To show this is correct we have to add ACE and ACB and that should equal 180° which is true.

Answer:

115°

Step-by-step explanation:

normally straight lines are 180°

so angle ACF is already 90°

to find E, we need to subtract the 90°and the 65°

here it is: 180-(90+ 65)

= 25°

so finally ACE = 90° + 25°

= 115°

;)

What is mZ2 + m 3? А 1 2 3 4 D m22 + m 23 =​

Answers

Answer:

link

Step-by-step explanation:

Find the value of x in the triangle shown below.
102
48

Answers

Answer:

The sum of the angles of a triangle is always 180, so the answer is

180-102-48=30

Step-by-step explanation:

(-5,1) and (-5,4) what is the slope of the line that passes through the given points

Answers

Answer:

Undefined

Step-by-step explanation:

I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:

[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]

And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.

Hopefully that's helpful! :)

Answer:

undefined

Step-by-step explanation:

(-5, 1) and (-5, 4) lie on the same vertical line.

A vertical line has undefined slope.

There are 495 pages in the mathematic book, from this 330 pages are included for the first term. Find the proportion of total pages to allotted pages in simplest form.

Answers

Answer:

330/495 = 2/3

the answer is 2/3

Answer:

3 : 2

Step-by-step explanation:

Total pages : allotted pages = 495 : 330

Find the HCF of 495 and 330

495 = 5 * 3*3*11

330 = 5 * 3 * 2 * 11      

HCF = 5 * 3 * 11 = 165

Divide 495 and 330 by 165

495 : 330 = 3 : 2                      

Nicole is running for school president. Her best friend designed her campaign poster, which measured 3 feet by 2 feet. Nicole liked her poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3 inches. What is the scale factor?

Answers

Answer:

1 feet = 12 inches3 feet = 36 inchesLarger of buttons dimension is 2 inches

Step-by-step explanation:

the scale factor would be 1/18

Simplyfy (4^7/5^2)^3

Answers

Simplify (4^7/5^2)^3 https://brainly.com/question/13043992

PLZZZ HELP ASAP I NEED IT FAST!​

Answers

Answer:

5.4

Step-by-step explanation:

Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)

For this case, I'm going to take 4 and 7.2

Step 2: Divide the length you took from PQRS by the length you took from ABCD.

[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex]  (1.8 is the scale factor (SF))

Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8

[tex]3 * 1.8[/tex] [tex]5.4[/tex]

Therefore, x = 5.4.

Answer:

5.4

Step-by-step explanation:

Look at photo for explanation

The sum of two consecutive even integers is 122. What are the two numbers?

Answers

Answer:

Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds​

Answers

Answer:

9 pounds

Step-by-step explanation:

you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds

SnackTime Foods produced 3,181,990 grams of popcorn last year, which was placed in 7- gram bags. How many bags did the company fill? bags Submit​

Answers

Answer:

The company filled 454570 bags.

Step-by-step explanation:

A rhombus is a special parallelogram. Which are true about a rhombus that is not true about all parallelograms? Pick up to 3 answers. A. Diagonals create a right angle where they interesect B. All sides are congruent C. Diagonals bisect vertex angles D. Diagonals are congruent E. Opposite angles are congruent​

Answers

The statement that is true about a rhombus that is not true about all parallelograms are as follows;

Diagonals create a right angle where they intersect All sides are congruent Diagonals bisect vertex angles

Diagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.

This is not true for parallelograms. The diagonal only bisects each other.

All sides are congruent for a rhombus .

This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.

The diagonal bisect the vertex angles of the rhombus.

This is not true for a parallelogram.

read more: https://brainly.com/question/4165249?referrer=searchResults

Help please no funny stuff!

The last one is
10,15
20,25
8,30
20,35

Answers

Answer:

the last one none over lap

ggraph this function

Answers

Answer:

The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.

HELP PLEASE!!!
Identify a point and two x intercepts to write the x-intercept form equation of each parabola.

Answers

Answer:   y = 2(x-5)(x-7)

x intercepts are 5 and 7

The third point I used was (6,-2); however, you can use any other point you want as long as it's not one of the x intercepts mentioned.

==========================================================

Explanation:

The x intercepts are 5 and 7, where the parabola crosses the x axis. Because of these roots, the two factors are x-5 and x-7.

We can think of the root x = 5 turning into x-5 = 0 after subtracting 5 from both sides. The same goes for x = 7 turning into x-7 = 0.

Put together, the two factors lead to (x-5)(x-7) and we get the equation y = (x-5)(x-7). Plugging either x = 5 or x = 7 into this equation produces y = 0.

-------------------

Notice that plugging in x = 6 leads to...

y = (x-5)(x-7)

y = (6-5)(6-7)

y = (1)(-1)

y = -1

However, the graph shows that x = 6 should lead to y = -2 instead. To fix this, we can stick a 2 out front like so

y = 2(x-5)(x-7)

y = 2(6-5)(6-7)

y = 2(1)(-1)

y = -2

The error has been fixed. As you can see, we need this third point to help nail down the parabolic equation. You can pick any other x value you want as long as it's not 5 or 7.

-------------------

Let's try another x value. Let's say we pick x = 8

y = 2(x-5)(x-7)

y = 2(8-5)(8-7)

y = 2(3)(1)

y = 6

We see that x = 8 leads to y = 6. This matches what the graph shows that (8,6) is a point on the parabola. I'll let you try other x values.

-------------------

In short, we used the roots 5 and 7 to generate the partial factorization (x-5)(x-7). Then we used a third point (6,-2) to help determine the coefficient out front which was 2.

So after using that point, we go from y = (x-5)(x-7) to y = 2(x-5)(x-7) which is the final answer. This is considered x-intercept form because we can quickly read off the x intercepts from this equation.

If I have 4 magazines, and each magazines has 13 bullets, And there are 30 people in class and you need 4 bullets for each person. How many people get 4 bullets.

Answers

Answer:

13

Step-by-step explanation:

4 magazines, and each magazines has 13 bullets:

4*13 = 52 bullets

4 bullets for each person:

52/4 = 13 people


To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.

Answers

1. We have to find the mass of sugar in 100g of jam: 100 - (57 + 17) = 26g of sugar

2. Now, we can write the ratio of blackberries to sugar as 17:26. This can’t be simplified

Answer = 17:26
Hope this helps

Find a point-slope form for the line with slope
and passing through the point (-4,-7).

Answers

Answer:

[tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, -7)

Slope m =  [tex]\displaystyle \frac{1}{5}[/tex]

Step 2: Find Equation

Substitute in variables [Point-Slope Form]:                                                    [tex]\displaystyle y - -7 = \frac{1}{5}(x - -4)[/tex]Simplify:                                                                                                             [tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]

Rick buys 3 CDs and 5 video games. The cost of one video game is $12.00 more than the cost of one CD. If Rick spends $164.00, what is the cost of each CD?

Answers

Step-by-step explanation:

x = price per video game

y = price per CD

164 = 5x + 3y

and then we know

x = y + 12

now we can use this as substitute in the first equation :

164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60

104 = 8y

y = $13

x = y + 12 = 13 + 12 = $25

so, each CD costs $13.

Which one is not a function? And why not ?

Answers

Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

HELP MEEEEEEEE PLEASE

Answers

Answer:

Option A (3/4)

Step-by-step explanation:

Please mark Brainliest

Answer:

THATS CORREC T

Step-by-step explanation:

CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING

What is the answer to this question?

Answers

Answer:

Perimiter would be 30cm

Step-by-step explanation:

3+3+6+3+6+3+6

dose anyone know the answers?

Answers

Answer:

Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think

Step-by-step explanation:

What is the slope of the line that passes through the ordered pairs(1,14)and(−5,−34)?

Answers

Answer:

The answer is 8!

Step-by-step explanation:

I took the quiz. Have a great day, hope this helps!

Solve the inequality 2(4x – 3) ≤ 5x – 27

Answers

Answer:

( -7, ∞)

Step-by-step explanation:

2(4x - 3) ≥ 5x - 27

8x - 6 ≥ 5x - 27

3x - 6  ≥ -27

3x ≥ -27 +6

3x ≥ -21

x ≥ -7

All numbers great than -7

Find the cosine of angle U

Answers

Answer:

1st option

Step-by-step explanation:

cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]

Which expression is equivalent to -14x + 28?

Answers

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

F = 1/5 gh^2
solve for h

Answers

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

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