Answer: 63.39 ft
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Since we want to find f(x) when x equals 10, we can substitute 10 in for x
f(x)=x/2 +8
f(10)=10/2+8
Divide 10 by 2
f(10)=5+8
Add 5 and 8
f(10)=13
So, f(x) when x=10 is 13
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:
1. a. 3xy²(7x²y³ + 5x - 4y)
2. a. (3x + 2)(5x + y)
3. d. (2a + b)(5x - 4)
Step-by-step explanation:
For #1, your answer was missing an exponent, which I boldfaced. Every term has a <em>y</em><em>²</em><em> </em>in common. Then, in numbers 2 and 3, just factor each group one at a time.
Ex: [10ax + 5bx] - [8ay - 4by]
Answer:
Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:
x + 59 + x + 51 + 84 = 180 My equation
2x + 194 = 180 add like terms
2x = -19 subtract 194 from both sides of the equation
x = -7 divided both by 2x to get x alone
It has occurred to me that I am finding x here (it still makes no sense to get a negative number) but this is the only equation I know to set up.
Notes:
This is for geometry homework and I realize just asking you to solve my problems is academically dishonest off topic if I have not put genuine effort into the question, which I have (put effort in, that is). I have put a lot of mental effort into figuring this out, though, so I will tell you what I did and hopefully you can tell me where I went wrong and how to correct my mistake, because I think it is obvious I made one. For the record I accidentally deleted my math notes from my iPad and Googling the question this morning produces hard to understand results. My geometry teacher was unavailable while I was working last night due to my lack of internet connection.
