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horrorfan [7]
3 years ago
12

Daniel wants to prove that the interior angles of any triangle sum to 180°. He draws a line through one vertex parallel to the o

pposite side, and then he labels all the angles formed.
Drag a reason to match each statement in Daniel's proof in the table below.

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Alternate interior angles theorem.

<u>Step-by-step explanation:</u>

By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be  congruent.

So in the given triangle,

∠4 ≅ ∠2

∠5 ≅ ∠3

Sum of all the angles in a triangle = 180°

∠1 + ∠2 + ∠3 = 180°

Since from the above congruence, we can write that

∠1 + ∠4 + ∠5 = 180°

Hence proved.

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Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used. Lewis
son4ous [18]

The fill up for the 3rd  step is y - 250 =  340x.

  • The fill up of the 5th step is x = \frac{y-250}{340}
  • The fill up of the 6th step  is \frac{8750-250}{340} = 25 = x, \frac{8750-250}{340}= 34 = x
  • The justification for the 2nd step is subtraction PE.
  • The justification for the 4th step is division PE.

<h3>What is the simplification  about?</h3>

Note that:

y-250 = 250 + 340 x - 250

y = 250 + 340x.

Make x the subject of the formula:

y - 250 =  340x.

then y-250/340 = x

Then  x = \frac{y-250}{340}

The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:

y-250 = 250 + 340 x - 250

y= 250 + 340x - 250 + 250

Note that (-250 + 250) = 0

y = 250 + 340x.

Lastly, The fill up of the 6th step is substitution of the amount of money  saved and  then simplifying it.

Learn more about simplification from

brainly.com/question/723406

#SPJ1

8 0
2 years ago
What is 2 2/3 x 3 1/3 x 2 1/3
madreJ [45]

Answer:

  20 20/27

Step-by-step explanation:

  (2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27

_____

<em>Additional comment</em>

The first two numbers can be written as a difference and a sum:

  = (3 -1/3)(3 +1/3)(2 1/3)

  = (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)

  = (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27

  = 20 20/27

7 0
2 years ago
At the end of a​ party, 3/4 cup of dip is left. Jim divides 4/7 of the leftover dip equally between 2 friends. How much dip does
Vesnalui [34]

Answer:

First, we need to find the amount of dip that was divided amount the two friends.

We know that it is 4/7 of the left dip  

therefore:

amount divided among the two friends = (4/7) x (3/4) = 3/7 of the original amount of dip.

This amount is divided among two friends,

therefore:

amount that each friend gets = (3/7) / (2) = 3/14 = 0.2 of the amount of dip

tell me if this is completely wrong because i'm not good at this

7 0
3 years ago
What is the perimeter of rectangle ABCD on the coordinate plane? coordinate grid
Aleksandr-060686 [28]
Just count the number of squares:
(9+5)*2=14*2=28

3 0
3 years ago
Read 2 more answers
At sally's diner, combo meals come with either chips or fries. of the 115 customers on Friday 80% ordered combo means. of these
34kurt

3/4 = 0.8

115 x 0.8 = 92

Final Answer:

D. 92

4 0
3 years ago
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