Answer:
In 54 minutes, it'll be 10:30.
<span>Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?</span>
Correct. Two congruent triangles are formed.
The two triangles are congruent because
1. diagonal = common side between two triangles
2. Considering the diagonal as a transversal that cuts the two pairs of parallel lines, we have two sets of internal alternate angles.
BY the rule of ASA, the two triangles are congruent.
<h3>
Answer: B) 15 mph</h3>
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Explanation:
The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.
The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.
Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.
Subtract the two speeds to get 65-50 = 15 mph
The triangle has sides a,b,c such that
a = 2*sqrt(5), b = sqrt(5), and c = 2*sqrt(10)
Square each value
a = 2*sqrt(5)
a^2 = (2*sqrt(5))^2
a^2 = 2^2(sqrt(5))^2
a^2 = 4*5
a^2 = 20
b^2 = 20 for similar reasons as side 'a'
c = 2*sqrt(10)
c^2 = (2*sqrt(10))^2
c^2 = 2^2*(sqrt(10))^2
c^2 = 4*10
c^2 = 40
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Using the pythagorean theorem, we see that
a^2 + b^2 = c^2
20 + 20 = 40
40 = 40
So the initial equation a^2 + b^2 = c^2 is true making the triangle with sides a,b,c defined above to be a right triangle
