Can't see the answer choices but Nicola is wrong. 16 * (12/8) = 24>16
Problem 1
<h3>Answer: B. M<3 would need to double.</h3>
Explanation: This is because angles 3 and 6 are congruent corresponding angles. Corresponding angles are congruent whenever we have parallel lines like this. If they weren't congruent, then the lines wouldn't be parallel. We would need to double angle 3 to keep up with angle 6.
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Problem 2
<h3>Answer: D. none of these sides are parallel</h3>
Explanation: We have angles A and C that are same side interior angles, but they add to A+C = 72+72 = 144, which is not 180. The same side interior angles must add to 180 degrees for parallel lines to form. This shows AB is not parallel to CD.
A similar situation happens with angles B and D, since B+D = 108+108 = 216. This also shows AB is not parallel to CD. We can rule out choices A and C.
Choice B is false because AD is a diagonal along with BC. The diagonals of any quadrilateral are never parallel as they intersect inside the quadrilateral. Parallel lines never intersect.
The only thing left is choice D. We would say that AC || BD, since A+B = 72+108 = 180 and C+D = 72+108 = 180, but this isn't listed as an answer choice.
Answer:
2
Step-by-step explanation:
Answer:
8 inches
Step-by-step explanation:
If the painting is 4 ft wide and there is a 5 foot space then you do 5 - 4 and then since a foot is 12 inches and you need 2 inches on both sides then you do 12 - 2 - 2 = 8 inches
To find the lengths of the enlarged triangle, we would find the scale factor from the given length
22.5/5 = 4.5
So to find the other sides you would multiply 3 and 6 by 4.5
3 * 4.5 = 13.5
6 * 4.5 = 27
So all 3 lengths of the triangle are 22.5, 13.5, and 27
To find the perimeter you add all
22.5 + 13.5 + 27 = 63
Your answer is 63