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.
X² - 15 x + 36 = 0
x² - 12x - 3x + 36 = 0
x( x - 12) - 3( x - 12) = 0
(x - 3)( x - 12) = 0
x - 3 = 0
x = 3
or
x - 12 = 0
x = 12
The solutions are 3 and 12
Answer:20.7
Step-by-step explanation:
Answer:
C) 2/9
Step-by-step explanation:
1. you add up all of the marbles (18)
2. you find how much blue marbles are out of that sum of the total marbles (4/18)
3. simplify if possible (2/9)
The volume of a shape is the amount of space in it.
<em>The volume of the building is </em>
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The given parameters are:
<u>Rectangular prism</u>
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<u>Triangular Prism</u>
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The volume of the rectangular prism is:
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The volume of the triangular prism is:
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So, the volume of the building is:
Hence, the volume of the building is
Read more about volumes at:
brainly.com/question/15861918
