Answer:
<u>Cost for 6 Miles:</u> 7.50$
<u>Cost in General:</u> 11$
Step-by-step explanation:
1.25x6=7.50
7.50+3.50=11
Answer: 52
Step-by-step explanation: Not much work with this one but hope this helps :)
<u>Answer:</u>
The correct answer option is B. 21.
<u>Step-by-step explanation:</u>
We are given a figure where the line KL is intersecting another line MN such that angle from K to N is equal to the angle opposing it which is the angle measuring 
.
Measure of angle K - N = 90° + 15° = 105°
Since angle K - N = angle M - L, we can write it as:
105° = 5x
x = 105/5
x = 21
Therefore, the correct answer option is B. 21.
Answer:
Step-by-step explanation:
f(x) = x^2 + 4x + 4
f(x + a) = (x + a)^2 + 4(x + a) + 4
f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4 Now combine like terms and use the distributive property.
f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4
We are told that f(x + a) = x^2 - 6x + 9
So that means that
2a + 4 = - 6 Subtract 4 from both sides.
2a = - 6 - 4
2a = - 10 Divide by 2
a = - 10/2
a = - 5.
But you are not finished. You have to check the last part.
a^2 + 4x + 4 = 9
(a + 2)^2 = 9
Take the square root of both sides
sqrt(a+ 2)^2 = +/- 3
a+2 = 3
a = 1.
Does this work or is it extraneous? It is extraneous because it will not work for 2(a) + 4 = - 6
You get 6 = - 6 which is not correct. But you did give the second best answer.
a + 2 = - 3
a = - 3 - 2
a = - 5 which agrees with your previous answer.
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This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.
A straight line is 180°, so you can do:
109 + ? = 180 (? is the top angle of the triangle)
? = 71°
Because the triangle is an isosceles triangle, the other angle is 71° too.
71 + 71 + ? = 180
? = 38
You subtract 38 with 90 to find the other angle.
90 - 38 = 52°
To find ∠2 you subtract 52 with 180.
180 - 52 = 128
∠2 = 128
128 = 11x + 18
110 = 11x
10 = x
