The two-column proof that shows that ΔEAB ≅ ΔDCB by SAS congruence theorem is explained below.
<h3>What is the the SAS Congruence Theorem?</h3>
The Side-angle-side congruence theorem (SAS) that states that two triangles that are have two pairs of corresponding congruent sides and a pair of included corresponding congruent angles are congruent to each other.
<h3>What is an Isosceles Triangle?</h3>
Any triangle with two equal base angles is referred to as an isosceles triangle, The sides opposite these base angles are also congruent to each other.
Given the diagram below, the proof is expressed as follows:
Statement 1: ΔEAB and ΔDCB are two right triangles
Reason 1: Given
Statement 2: ∠EAB ≅ DCB
Reason 2: Right angles
Statement 3: ∠BED ≅ BDE
Reason 3: Given
Statement 4: ΔBED is an isosceles triangle
Reason 4: Definition of isosceles triangle
Statement 5: BE ≅ BD
Reason 5: Definition of isosceles triangle
Statement 6: ΔEAB ≅ ΔDCB
Reason 6: SAS
Learn more about the SAS congruence theorem on:
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When you're adding fractions with two different denominators, the best thing to do is to find a common denominator;
In this case, 4 and 8 are both multiples of 8, and therefore, you've got to double the first fraction.
Doubling the first fraction gives you 2/8 and 3/8. You've then got to add these together, and this gives you 5/8 (as you only add the numerators)
As you're looking for what is left, you have to do 8/8- 5/8 (once again, only subtracting the numerators)
8/8- 5/8= 3/8
Therefore, 3/8 of the muffins are left.
Hope this helps :)
<h3>
Answer: Choice B) 15x, -x, and 33x</h3>
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Explanation:
Like terms are when we have the same variable attached to the number. The variable must have the same exponent as well.
For instance, 2x and 3x are like terms since they both have x. Something like 7x and 8x^2 are not like terms because the exponents don't match.
Terms like 17y and 17 are not like terms because the second term doesn't have a y tacked on. If you have nothing but constants, then those are like terms as they all have the same thing in common in that they don't have a variable attached to them.
With all this in mind, we can see that 15x, -x, and 33x is the answer since each have x as part of the variable term. The exponents are all the same (all being 1).
I don’t really understand I need more detail
