The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).

Therefore:

∠4 and ∠6 are consecutive interior angles. Hence:

∠4 + ∠6 = 180° (sum of co-interior angles)

∠4 + 70 = 180

∠4 = 180 - 70

∠4 = 110°

8 0

3 years ago

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The number of kilograms of water in a human body varies directly as the mass of the body. A 93-kg person contains 62-kg of water

slava [35]

We know that the variation is proportianal, that is we can relate the quantities as:

$y=kx$

where y is the mass of the body and x is the mass of water. From the values given we have that:

$\begin{gathered} 93=62k \\ k=\frac{93}{62} \\ k=\frac{3}{2} \end{gathered}$

hence the constant of proportionality is 3/2. Now, if the mass of the water is 75, then the mass of the body is:

$\frac{3}{2}\cdot75=112.5$

Therefore, the mass of the body is 112.5 kilograms

4 0

1 year ago

PLS HELP ASK WILL GIVE 5 STARS

Blizzard [7]

The answers are B, E, and F.

8 0

3 years ago

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Calculate the cost of manufacturing a standard cereal box if cardboard costs $0.05 per square inch.

leonid [27]

The volume of the box in this problem doesn't really matter, considering that a cereal box is hollow. Assuming the surface area is 174 inches², then you can simply multiply 0.05 x 174, which is 8.7. Then put that number in the form of money to get $8.70. (seems a bit pricey for one cereal box to me ;P)

7 0

4 years ago