The length of a rectangle is 4 ft longer than its width.

Mathematics

1 answer:

son4ous [18]2 years ago

6 0

Answer:

Step-by-step explanation:

40=4x+8

32=4x

x=8

other side x+4 is 12

area is 12×8

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If a 100.8 kg cement bag had 20.35 kg removed from it, what is the new weight of the bag?

Snowcat [4.5K]

Just subtract 20.35 from 100.8
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3 years ago

State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement

valentinak56 [21]

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Answer:

a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

NC/RL = 45/30 = 3/2

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

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3 years ago

Which expression is equivalent to the following complex fraction?

user100 [1]

The equivalent expression of $(1 + \frac{1}{y}) \div (1-\frac 1y)$ is $\frac{y + 1}{y-1}$