Answer:
C
Step-by-step explanation:
(2/5)+(3/(5x))=(x+5)/10
nasty fractions, we hates it forever
so
get rid of all those nasty fractions
multiply both sides by 10x
4x+6=x(x+5)
distribute
4x+6=x^2+5x
minus (4x+6) from both sides
0=x^2+x-6
factor
0=(x-2)(x+3)
set each to zero
0=x-2
2=x
0=x+3
-3=x
x=-3 and 2
3rd option is answer
Step-by-step explanation:
Hey there!
By looking at the figure, the given "2x" and "6x + 28" are co-interior angle.
So,
2x + 6x + 28 = 180°. ( sum of co-interior angle is 180°)
8x + 28°=180°
8x = 180° - 28°
8x = 152°

X = 19°
<u>There</u><u>fore</u><u>,</u><u> </u><u>X </u><u>=</u><u> </u><u>1</u><u>9</u><u>°</u><u>.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:

Use Pythagoras in triangle HKL




Taking square root on both sides.

Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,




Use Pythagoras theorem in ΔHKI,


From (1) and (2) we get



Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).


Taking square root on both sides.


Hence, the measure of KI is 11.25 units.
U just write it in word form