The measure of first angle is 34 degrees and measure of second angle is 56 degrees
<em><u>Solution:</u></em>
Given that, the exterior sides of two adjacent angles make a right angle
Therefore, these adjacent angles forms 90 degrees
Let the second angle be "x"
The first angle has a measure that is six more than half the second
Therefore,
first angle = 6 + half of "x"
Since these two angles forms 90 degrees,
first angle + second angle = 90
<em><u>Therefore, first angle is:</u></em>
Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees
That is a 45 45 90 triangle.
The legs of such a triangle equal the hypotenuse divided by the sq root of 2
So each leg equals 125.5 cm divided by
<span>
<span>
<span>
1.4142135624
</span>
</span>
</span>
which equals
<span>
<span>
<span>
88.7419010389
</span>
</span>
</span>
or to the nearest 100th of a centimeter:
88.74
Expanding the left side gives
which gives two solutions,
and
. But if
, then
, but this number isn't real, so
is an extraneous solution. Meanwhile if
, you get
, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
Answer:
16
Step-by-step explanation:
Not sure if the 2 at the end is part of it all because with it the GCF can only be 1
but,
the GCF of 24a, 3b and 36ab is 3.
