Angl G = angle I because of alternate interior angle theorem
the triangle JHG is congruent to the triangel JFI because the corresponding angles F and J equal with J and H in the other triangle and the sides between them are equal FJ and HJ
therefor GJ = IJ because of the congruence
Answer:
Step-by-step explanation:
use substitution and solve this 8x+4(-2x+3)=12
with the 4 distributed its
8x-8x+12=12
then you can cancel out the 8x and -8x and switch the 12 over into a -12 canceling out the 12s making it x=0
Answer:
36 ÷ a
55 - b
18 + c
49 x d
e ÷ 62
Step-by-step explanation:
Answer: 0.195
Step-by-step explanation:
given data:
population = 2000 people.
people Who are over 6 feet tall = 389.
Solution:
the point estimate of people over 6feet tall
= no of people over 6 feet tall / total population size
= 389/2000
= 0.195
the point estimate of people over 6 feet tall is 0.195
Answer:
33%
Step-by-step explanation:
h steps:
Step 1: We make the assumption that 51 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=51$.
Step 4: In the same vein, $x\%=17$.
Step 5: This gives us a pair of simple equations:
$100\%=51(1)$.
$x\%=17(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{51}{17}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{17}{51}$
$\Rightarrow x=33.33\%$
Therefore, $17$ is $33.33\%$ of $51$.