Answer:
x = 25°
Step-by-step explanation:
Applying,
Sum of the angle in the triangle = 180°
From the diagram,
First angle of the triangle = 55° (vertically opposite angles are equal)
Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)
Third angle of the triangle = x
Therefore,
x+55+100 = 180
x+155 = 180
x = 180-155
x = 25°
To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:
m + b = 24
b = 2m - 3
To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.
m + b = 24
m + 2m - 3 = 24
To simplify, we must first combine the variable terms on the left side of the equation using addition.
3m - 3 = 24
Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.
3m = 27
Finally, we should divide both sides by 3 in order to get the variable m alone.
m = 9
Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).
Hope this helps!
Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes
Answer:
115.3 hertz
Step-by-step explanation:
For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.
For the first interval:
For the second interval:
= 39.84
:
100^2=251
10000=251
ℎ
251 ℎ
10000/251=251/251
39.84=1
39.84=
