Answer:
Step-by-step explanation:
Let x represent the distance that the truck was driven.
Buck rented a truck for $39.95 plus $0.32 per mile. This means that the total cost of driving x miles with the truck would be
39.95 + 0.32x
Before returning the truck, he Filled the tank with gasoline, which cost $9.85. This means that the total amount that he spent is
39.95 + 0.32x + 9.85
If the total cost was $70.23, it means that
39.95 + 0.32x + 9.85 = 70.23
49.8 + 0.32x = 70.23
0.32x = 70.23 - 49.8 = 20.43
x = 20.43/0.32 = 63.8
Approximately 64 miles
the horizontal distance ( x direction) from A to C is 7 units and
the vertical distance ( y direction) is 5 units
Applying Pythagoras' Theorem to the right triangle
AC² = 7² + 5² = 49 + 25 = 74, hence
AC = 
= 8.6 units ( to 1 dec. place )
It takes them 12 seconds to eat the whole sausage.
<h3>What is speed?</h3>
Speed is the rate of change of distance.
Analysis:
If kitten eats x cm, then puppy will eat 14 - x cm
speed = d/t
speed of kitten = 1/2
speed of puppy = 2/3
1/2 = x/t
2/3 = 14 - x / t
t = 2x--------1
2t = 3(14 - x ) -------- 2
substitute t in equation 2
2(2x) = 3(14 - x)
4x = 42 - 3x
7x = 42
x = 42/7 = 6cm
substitute value of x in equation 1
t = 2(60 = 12 seconds.
In conclusion, it takes the both animals 12 seconds to finish the sausage.
Learn more about speed: brainly.com/question/4931057
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<h2>
Answer:</h2>
Definitely we can't prove that triangle DFG is congruent to MNP. The reason is because the angles that are congruent don't match the corresponding vertex, that is, the corresponding vertices of these triangles are as follows:
D is corresponding to M
F is corresponding to N
G is corresponding to P
But the angle we know in the first triangle lies on vertex D while on the second triangle the angle lies on vertex P but it should lies on vertex M, so we'd prove they are congruent by Side-Angle-Side Postulate (SAS).
