Sleeping bag weights 8 pounds
sb=8
backpack+sleeping bag=31
b+sb=31
sb=8
b+8=31
subtract 8 from both sides
b+8-8=31-8
b+0=23
b=23
backpack weighs 23 pounds with out sleeping bag
equation is b+s=31
s=8
The triangles are similar because they are the same shape. :) Good luck
Answer:
6
Step-by-step explanation:
All of the variables are divisible by 6.
The domain of the function is [-4, 4) and the range of the function is [-5, 2)
<h3>How to determine the domain and the range of the function?</h3>
<u>The domain</u>
As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.
This means that the domain is the set of x values
From the graph, we have the following intervals on the x-axis
x = -4 (closed circle)
x =4 (open circle)
This means that the domain of the function is [-4, 4)
<u>The range</u>
As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.
This means that the range is the set of y values
From the graph, we have the following intervals on the y-axis
y = -5 (closed circle)
y = 2 (open circle)
This means that the range of the function is [-5, 2)
Read more about domain and range at:
brainly.com/question/10197594
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Hi there!
Let's start with finding the measurement of angle A. Looking at the image, we know that the larger, outer triangle is equilateral. Therefore, we know that the inner, smaller triangle is isosceles. So, to find the measure of angle A, we need to solve this here equation:
180 = 90 + 2A
90 = 2A
A = 45
Now that we know that angle A is equal to 45 degrees, we can take the total value of the angle of the equilateral triangle and subtract the value of angle A from it to find the value of angle B.
B = 60 - 45
B = 15 degrees
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!