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patriot [66]
3 years ago
14

Which theorem is correct

Mathematics
2 answers:
kogti [31]3 years ago
5 0

Answer:

The SSS theorem

Step-by-step explanation:

Aleks [24]3 years ago
5 0

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since <u>AB and CD were shown to be congruent in the image</u>, and <u>AC and CA are congruent because they're shared</u>. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know <u>∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel</u>.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

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The factor tree below provides the factors of 18. What is the prime factorization of 18?
Softa [21]
The prime factorization of 18 is
   2 × 3²

____
You could read this from the factor tree by looking at the leaves.
4 0
3 years ago
Read 2 more answers
A six-sided die is rolled in a trial. What are the chances that the outcome is 2 or more?
NNADVOKAT [17]

To have the outcome of 2 or more, we can roll out a 2,3,4,5 or 6.

So, the chance of getting the outcome is 2 or more is 5/6

And, 5/6 is pretty much likely to happen. (around 80% or so)

5 0
2 years ago
The Spanish club is arranging a trip to a Mexican restaurant in a nearby city. Those who go
Hoochie [10]

Answer:

20 people

Step-by-step explanation:

well we know that only going to the restaurant every person must pay $7

so we have only $3 extra

those 3 dollars times the number of people must give 60 dollars

3x=60\\\\\frac{1}{3} *3x=\frac{1}{3} *60\\\\x=20

so 20 people must go, to pay only $10

7 0
3 years ago
Write two equivalent ratios.
vampirchik [111]

Answer:

4 : [8]

[12]

5: [10]

[15]

Hope this helps

6 0
2 years ago
(3x+1)(x-2)+ax+b=3x^2+8x-5<br> Work out the values of a and b
Musya8 [376]

Answer:

a = 13, b = - 3

Step-by-step explanation:

Expand the left side and compare like terms on both sides

(3x + 1)(x - 2) ← expand using FOIL

= 3x² - 5x - 2

left side = 3x² - 5x - 2 + ax + b ← combine like terms

             = 3x² + x(a - 5) + b - 2

right side = 3x² + 8x - 5

For the 2 sides to be equal then

a - 5 = 8 ( add 5 to both sides )

a = 13

and

b - 2 = - 5 ( add 2 to both sides )

b = - 3

7 0
3 years ago
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