Answer: The correct answer is option B: The vertical angle
Step-by-step explanation: Please refer to the picture attached for further details.
The circle with center O has an arc AB with a central angle of 42 degrees as shown in the diagram (not draw to scale).
If the line A is extended to point D and also line B is extended to point C both along the circumference of the circle O, then you would have another arc CD on the circle.
If two intersecting lines AD and BC form a pair of angles (shown here as 42° and x°) the angles are called vertical angles, and vertical angles in a circle are equal.
Hence the only thing that can be shown to measure 42 degrees in the question above is a vertical angle.
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:
The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.
First, find the coordinates of the midpoint M(xm,ym):
Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:
CM=2.5
Now find the distance AB:
AB=5
AB/2=2.5
It's proven CM is half of AB
Answer:
4cm
Step-by-step explanation:
The formula for area of a triangle is hxb/2 so plug in the the area so the equation looks like hx5/2=10 and you get 4 for height
Answer:
Base = 3√5
Step-by-step explanation:
Given:
Hypotenuse = 9
Perpendicular = 6
Find:
Base(x)
Computation:
Using Pythagorean theorem
Base = √Hypotenuse² - Perpendicular²
Base = √9² - 6²
Base = √81 - 36
Base = √45
Base = 3√5
