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Rus_ich [418]
3 years ago
7

What is the first error Alycia made in her proof.

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer: Alycia only established some of the necessary conditions for a congruence criterion.

Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.

There are 5 ways to find out if the triangles are congruent.

The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.

For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:

1) ∠O = ∠S

2) OP = TS

And

3) RS = OQ

So, Alycia's error is that she didn't prove RS = OQ, which would definitively  conclude that both triangles are congruent.

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Please help if you can!!!!
storchak [24]

Answer:Well, I don't know what you got so I can't tell you if it is right.

If it works in both equations, it depends of whether your equations are set up correctly.

Here is how I would do this problem.

Let x = no. of hot dogs,y = number of sodas.

First equation is just about the number of things.

x + y = 15

Second equation is about the cost of things.

1.5 x + .75 y = 18

solve x+y = 15 for y  y = 15-x    substitute into second equation

1.5x + .75(15 - x) = 18    

You should get the correct answer for number of hot dogs if you solve this correctly.  Put your answer in the x + y =15 equation to get y.  Then put both x and y into the cost equation and check your answer.

Hope this helps.

Step-by-step explanation:

5 0
3 years ago
Today Ian wants to run less then 7/12 miles. Write a fraction with a denominator of 4 to represent a distance that is less then
dezoksy [38]
2/4 is one you could put because 2/4 = 1/2 = 6/12, and 6/12 is less than 7/12.

Glad I could help, and good luck!
__________________________
__________________________
__________________________

7 0
3 years ago
What is the length of the arc when the degree measure is 60° and the radius is 7?
shepuryov [24]
Inscribed angle =1/2 arc
4 0
3 years ago
Which is the correct list of possible rational roots of the polynomial (*p/q)
cricket20 [7]

Answer:

±1. ±2,±4, ±1/2,   B

Step-by-step explanation:

list the factors of 4  over the factors of 2


1 ,2 ,4 , -1 ,-2, -4

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

1,2 -1,-2

8 0
3 years ago
Quadrilaterals DONT and WALK are similar. Find the length of side DO.
Karolina [17]
Answer is B 9
X/3=15/5
45/5
x=9
So answer B
4 0
3 years ago
Read 2 more answers
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