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: It will land on the bush after 1.25 seconds.
First, we will start with what we are given the equation: h(t) = -16t^2 + 30
Now, we should input a 5 for the h(t) because we want the seconds that will give us a height of 5 seconds.
5 = -16t^2 + 30
Solve the equation:
0 = -16t^2 + 25
To solve this, you could use the quadratic formula or factor out a -1 and you will have the difference of two squares.
Either way the answer is 1.25 seconds.
594 7/25 converted into decimal is 594.28, 89 37/100 converts to 89.37. Add 594.28 and 89.37 together and we get out final answer of 683.65. Convert that back into fraction form and we get (683 13/20) <--- Final Answer
The quotient to this problem is 401.45
Just divide 8,029 by 20 to find the quotient.
Answer:
The parallel line would be y = 4
Step-by-step explanation:
If a line is perpendicular to the to the x axis, then it is a horizontal line. All horizontal lines can be written in the form of y = (a number). That number can be found as the y-coordinate in the ordered pair given.
y = 4
