Answer:
30 degrees.
Step-by-step explanation:
We are going to use two theorems: Triangle Sum Theorem and Vertical Angles Theorem. Please let me know if you need me to define them.
Here is how I solved this problem:
75+75 = 150.
180-150 = 30(Triangle Sum theorem)
x = 30(Vertical Angles theorem.)
From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
<h3>What is a
linear equation?</h3>
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the distance travelled by the bike after x minutes.
From the table:
Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min
The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Find out more on linear equation at: brainly.com/question/14323743
Answer: the first one
Step-by-step explanation:
Both of these have the same number of solutions (which is 2)
Remember that |5x + 6| means "the absolute value of the expression '5x + 6'", so in this case, 5x + 6 could equal 41 or -41 since the absolute value would "strip away" the positive or negative sign and leave just the number
So, if you solve:
5x + 6 = 41
5x = 41 - 6 = 35
x = 35 / 5 = 7
5x + 6 = -41
5x = -41 - 6
5x = -47
x = -47 / 5
Do the same thing for the other expression:
2x + 13 = 28
2x = 28 - 13 = 15
x = 15 / 2
2x + 13 = -28
2x = -28 - 13
2x = -41
x = -41 / 2
So, both of these expressions have two solutions.
Hope this helps!
Good luck.
Answer:
2 list
Step-by-step explanation:
