Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
The linear function that describes Juan's elevation during his descent is:
B. y = -1460x + 7500.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:
y = -1460x + b.
The y-intercept is found considering that when x = 1, y = 6040, hence:
b = 6040 + 1460 = 7500.
Which means that option B is correct.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
D. r(t) = (10 + 12t, 5 + −34t, 6 + −6t)
Step-by-step explanation:
Hope this helps
Answer:
its an open circle on -2 and the line is to the right
Step-by-step explanation:
-2x=4
x=4/-2=-2
and the sign is the same and its an open dot because its not greater too or equal to
Answer:
x=(2,-5.3)
Step-by-step explanation:
Hope this helps
