If these are the given choices of the above problem,
a. one side and one angle are equal.
<span>b.three sides are equal </span>
<span>c.two angles are equal </span>
<span>d. three angles are equal
Two non-right triangles are congruent when B. THREE SIDES ARE EQUAL.
Two triangles are congruent if:
1) All corresponding sides are equal (SSS)
2) A pair of corresponding sides and the included angle are equal (SAS)
3) A pair of corresponding angles and the included side are equal (ASA)
4) A pair of corresponding angles and a non-included side are equal (AAS)</span>
From multiplying the binomial expression
(n+3)(n-9)
It would be n^2 - 9n + 3n - 27 or simplified
n^2 -6n - 27.
Answer:
1. 128
2. 52
3. 47
4. 133
5. 81
Step-by-step explanation:
1. <1 and <52 are same side interior angles, therefore supplementary. So they should add up to equal 180, this means that <1 is 180 - 52. Solve to get <1 is 128
2. <2 is an alternate interior angle to <52, this means that they are congruent. Since they are congruent, they have the same value of 52.
3. <3 is an alternate interior angle to <47, so they are congruent, this means that they both have a value of 47
4. <4 is supplementary to <3 so you can say that <4 is equal to 180 - 47. Solve this to get <4 is 133
5. <5, <52, and <47 are supplementary when you combine all three. So you can create an equation that says <5 is equal to 180 - 52 + 47. This gives you that angle 5 is 81.