9514 1404 393
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
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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.
Answer:
An ounce is a unit of weight equal to 1/16th of a pound or about 28.35 grams.
A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.
Step-by-step explanation:
128 Ounces =
8 Pounds
Answer:
18 minutes
Step-by-step explanation:
the beaver is 18 minutes so multiply that by 3 which equals 54 then add those two together then you get 72 then add 23 qhich then you end up with 95 minutes total.
Answer:
The function
is continuous for all real numbers
Step-by-step explanation:
To know the possible points of discontinuity of this function, we must find out when the denominator of the function is equal to 0.
The denominator is:

Then we equal 0 and clear x

for any real number.
This means that
<em>for all reals numbers</em>.
Therefore, the function
is <em>continuous</em> for all real numbers, that is, it does not have discontinuities.
The graphic of this function is shown in the image