Answer:
The distance between Harry’s home and his office? is 15 miles.
Step-by-step explanation:
The speed, distance time formula is:
Given:
Speed (<em>s</em>) = 30 miles/hour
Then the relation between distance and time is:
If Speed was 60 miles/hour the time taken is hours.
Then the relation between distance and time is:
Use the value of <em>d</em> = 30t in (ii)
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Determine the distance as follows:
Thus, the distance between Harry’s home and his office? is 15 miles.
Answer:
Step-by-step explanation:
AA<span> (</span>Angle-Angle<span>) </span>Similarity<span>. In two triangles, if two pairs of corresponding </span>angles are congruent, then the triangles are similar . (Note that if two pairs of corresponding angles<span> are congruent, then it can be shown that all three pairs of corresponding </span>angles<span> are congruent, by the </span>Angle<span> Sum Theorem.)</span>
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
<h3>Right angled triangle</h3>
A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.
For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.
Find the slopes of AB, BC and AC
Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5
Slope of BC = 0-5/7-1
Slope of BC = -5/6
Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11
Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
Learn more on right angle triangle here: brainly.com/question/22790996
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