Answer:
(-infinity, inifinty)
Step-by-step explanation:
the domain should be all real numbers of this quadratic
Remember that 45%=45/100=0.45
So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:
300*0.45=135serves
Answer: 135 serves will not be returned
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:
x=0 and y=3
Step-by-step explanation:
If x=0, then we can just plug that value into the other equation and solve for y:
x+4y=12
0+4y=12
4y=12
y=3
Therefore, the solution to the system of equations is x=0 and y=3
Take the number "of" divided by the other number then multiply it by 100% to get the percentage.
(21/33.5) ×100%= 62%
