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Masja [62]
3 years ago
10

Jeff is building a bookcase for his room and wants to be sure the shelves are parallel. He measures the angles below and knows t

he shelves are parallel when he finds which two angles to be supplementary?

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

∠2 and ∠4 are the supplementary angle.

Step-by-step explanation:

Shelves of the bookcase are parallel and a transversal line is intersecting these points at two distinct points.

By the property,

Sum of two interior consecutive angles measure 180°.

From the figure attached,

∠2 and ∠4 are the interior consecutive angles.

Therefore, m∠2 + m∠4 = 180°

Which proves that shelves of the showcase are parallel.

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Answer:

The question is not complete, below is the completed question

Noah built a fenced dog run that is 8 yards long and 6 yards wide. He placed posts at every corner and every yard along the length and width of the run. How many posts did he use?

Answer

There are 28 posts in total

Step-by-step explanation:

Attached to this answer is a picture showing the fenced dog run and the position of the posts.

The number of posts is determined as follows:

Number of posts for the four corners = 4 posts

Number of posts for the 8-yard side = 7 posts

<em>N:B </em><em>There are 7 posts instead of 8 posts because one post has been counted as a corner post already, hence we will not count it twice.</em>

∴ Total number of posts for both 8-yard sides = 7 × 2 = 14 posts

Number of posts for the 6-yard sides = 5 posts (same reason as above)

Ttal number of posts for both 6 yard sides = 5 × 2 = 10 posts.

Total number of posts = 4 + 14 + 10 = 28 posts

∴ There are 28 posts in total

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2 years ago
Please help, I'm very lost with this question
DIA [1.3K]
Firstly, let's solve for the third interior angle of the triangle. Interior angles of all triangles add to equal 180 degrees; to find the third interior angle, set the sum of the two known angle measures and the third angle measure, x, equal to 180 and solve.

180 = 75 + 50 + x
180 = 125 + x
55 = x

Now that we know all interior angle measures, we can begin to name the sides from shortest to longest.

The shortest side will always be opposite the smallest interior angle - in this case, angle H. This rule applies to both the other sides and angles; the longest side is opposite the largest interior angle, which in this case is angle G. (This means the second-largest angle is opposite the second-longest side - the sole remaining angle.)

The order of sides from shortest to longest: side IG, side GH, side HI.

Answer:
B
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Lin bought x grams of sugar.

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