Option I
(3x+4)cm =(2x+10)cm
3x-2x=6
x=6
Option II
(3x+4)= (x+12)
3x-x=12-4
2x=8
x=4
Option III
(2x+10)= (x+12)
2x-x=12-10
x=2
<span>m∠A =73.7°
m∠B = 16.3°
m∠C = 90<span>°</span></span>
Answer & Explanation:
A transversal is a line that intersects two or more coplanar lines at different points. Two angles are corresponding angles if they occupy corresponding angles. Two angles are alternate exterior angles if they lie outside the two lines on opposite sides of the transversal.
1. Given the bases a and b of a trapezoid, the length of the median m can be found by the formula
2. MP and NO are the bases so applying the above formula:
x=6
Check the picture for the proof of the theorem m=(a+b)/2
<span>The<u> correct answer</u> is:
153/200.
Explanation<span>:
The amount for the first 6 months is 76500 and the amount for the last 6 months is 100000. This makes the ratio 76500/100000.
Both of these end with two 0's; this means they are both divisible by 100. 76500/100 = 765 and 100000/100 = 1000; this makes the ratio 765/1000.
Since these end with a 5 or a 0, they are divisible by 5; 765/5 = 153 and 1000/5 = 200; this makes the ratio 153/200.
153 is only divisible by 3 or 9; 153/3 = 51 and 153/9 = 17. None of these will divide evenly into 200, so we stop at 153/200.</span></span>
