Answer:
<u>The total distance of the round trip was 4 miles</u>
Step-by-step explanation:
1. Let's check all the information given to answer the question correctly:
Speed of Dave walking to his friend's house = 4 mph
Speed of Dave biking from his friend's house = 10 mph
Time walking is 18 minutes longer than time biking
2. What was the total distance of the round trip?
Time walking = x
Time biking = x - 18
For solving x, we will use the following equation:
4x = 10 * (x - 18)
4x = 10x - 180
-6x = - 180
x = -180/-6 (Dividing by - 6)
x = 30
Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:
30 minutes = 0.5 hours and 12 minutes = 0.2 hours
Total distance = 4 * 0.5 + 10 * 0.2
Total distance = 2 + 2
<u>Total distance = 4 miles</u>
<h3>
Answers:</h3>
x = 108
y = 36
z = 72
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Explanation:
Check out the diagram below. I have added letters of x, y and z in places to help find the values of y and z. Note the triangle on top is isosceles (since a regular polygon has all sides equal; therefore the triangle on top has the top diagonal sides equal).
Before we find either y or z, let's find x.
For any regular polygon, the interior angles are all the same measure. They sum to 180(n-2). In this case, n = 5, so the angles sum to 180(5-2) = 540. Each individual interior angle is 540/n = 540/5 = 108 degrees
x = 108
Another way to find this interior angle is to first find the exterior angle. For any convex polygon (regular or not), the exterior angles always add to 360. When we talk about regular polygons, each individual exterior angle is 360/n. So in this case, we have 360/5 = 72 as one exterior angle. The adjacent interior angle is therefore x = 180-72 = 108. So there are two ways to find the measure of an interior angle.
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Referring to the diagram, specifically the isosceles triangle on top, we can see that it has angles of x, y and y. They add to x+y+y = x+2y. Set this equal to 180, plug in x = 108 and solve for y
x+2y = 180
108+2y = 180
2y = 180-108
2y = 72
y = 72/2
y = 36
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The bottom most triangle is a congruent copy of the triangle on top. We have another isosceles triangle with the same side lengths as before. This triangle also has x, y and y as mentioned above.
Notice the adjacent angles of y and z in the bottom left corner. They must add to 108 as this was the measure of the interior angle of a regular pentagon. So,
y+z = x
36+z = 108
z = 108-36
z = 72
Answer:
f(3) = g (3)
Step-by-step explanation:
graphically, we notice that the graphs of f and g intersect
at the point of coordinates (3 , 0)
Then
f(3) = 6 = g(3)
Then
f(3) = g (3)
Answer:
The second one and the very last ones are functions because both of those don't repeat the same number
Step-by-step explanation:
brainliest pls