Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
Answer:
7.3%
Step-by-step explanation:
First you have to find out what 38 out of 41 is as a percentage
This is 92.68%
so now we have to do
100.00 - 92.68 this is 7.32
But you said round to the nearest tenth so it would actually be rounded down to 7.3%

If
, then we can immediately cancel the factors of
:

Factorize the numerator and denominator:


Next, if
, then

Answer:
h=6
Step-by-step explanation:
19h-7=23+14h
-7-23=14h-19h
-30=-5h
h=6