Answer: 48
Step-by-step explanation: To find the range of the data set shown here, remember that the range is the difference between the greatest number in the data set and the least number in the data set.
<em>Greatest number</em> → 64
<em>Least number → </em>16
Now, we need to subtract 16 from 64.
64 - 16 = 48
Therefore, the range of the data set is 48.
Answer:
<VUT = 50
Step-by-step explanation:
Tangent Chord Angle = 1/2 Intercepted Arc
< VUT = 1/2 (100)
<VUT = 50
Answer:
Area of geometric figures mentioned calculated.
Step-by-step explanation:
Square Perimeter = 4 x sides of square = 20. So, each equal side of square = 20 / 4 = 5
Area of square = ( Side )^2 = ( 5 )^2 = 25
Area of triangle = 1/2 (Base) (Height) = 1/2 x 3 x 3.5 = 5.25
Hey there!!
Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.
The y-intercept form:
<em>y = mx + b </em>
<u>In this equation, 'm' is considered to be the slope. </u>
The equation we have is 6y = -2x + 4
First, let's divide all the sides with 6 to isolate the value of 'y'.
... 6y = -2x + 4
... y = -1/3x + 2/3
<u><em>The slope is -1/3... </em></u>
<u><em>... hence the slope in the other equation should be -1/3. </em></u>
Equation we got...
... 2y = ax - 5
Let's divide by 2 on both sides...
... y = ax/2 - 5
The slope in this a/2
<u><em>Hence, ... </em></u>
<u><em>... a/2 = -1/3 </em></u>
<u><em>... 3a = -2 </em></u>
<u><em>... a = -2/3 </em></u>
<h2><u><em>
Hence, the value of a is -2/3. </em></u></h2><h3><u><em>
Hope my answer helps!</em></u></h3>
