A) Intersecting lines allow for the creation for angles with a common vertex
B) if one of the angles is a right angle, the angle the vertical to it must also be a right angle
Step-by-step explanation
C) is not true because linear pairs are supplementary not complementary because a line = 180°
B) it’s true because they are corresponding vertical angles
A) it’s true because they all have the same starting point or vertex
Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
Answer: The correct answer is option C; 90√2
Step-by-step explanation: The line segments are labelled as base 1, base 2 and base 3 respectively. This we shall call point 1, point 2 and point 3. These three points form a right angle. Also we have been told that Marcus is on point 3 and Jean is on point 2. They are both 90 feet apart. Also Joel is on point 1 and he is 90 feet away from Jean. The unmeasured distance therefore is from point 1 to point 3, which is the distance from Joel to Marcus (or Marcus to Joel).
The distance from point 1 to point 3 is the hypotenuse of the right angled triangle derived. Using the Pythagoras' theorem, the distance from Joel to Marcus (or JM) is calculated as follows;
JM² = JC² + JL²
Where JM is the distance between Joel and Marcus (hypotenuse), JC is the distance from Jean to Marcus and JL is the distance from Jean to Joel.
JM² = 90² + 90²
JM² = 8100 + 8100
JM² = 16200
Add the square root sign to both sides of the equation
√JM = √16200
JM = √100*√81*√2
The right hand side of the equation can be further solved as
JM = 10*9*√2
JM = 90√2
Therefore the distance between Marcus and Joel is calculated as 90√2 feet
Answer:
239/495, 86/165, 277/495, and 296/495
