The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.
We're told that HJ has length 7<em>x</em> - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)
Solve for <em>x</em> :
7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)
7<em>x</em> - 27 = 4<em>x</em> - 6
7<em>x</em> - 4<em>x</em> = 27 - 6
3<em>x</em> = 21
<em>x</em> = 21/3
<em>x</em> = 7
P= 3000 (1.21)^t, t= time in months
1 year = 12 months, and therefore, 1 month = 1/12 years
The equation showing yearly population growth changes to;
P=3000 (1.21)^t/12
The correct answer is equation [1].
A is your answer. Hope this helps you!
If I'm right, please mark Brainliest!
-Belle
Answer:
Below in bold.
Step-by-step explanation:
Let x be George's age and y be Genemy's age.
x/y = 5/7
(x + 4)/ (y + 4) = 3/4
From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :
(x + 4)/ (1.4x + 4) = 3/4
3(1.4x + 4) = 4(x + 4)
4.2x + 12 = 4x + 16
0.2x = 16 -12 = 4
x = 4/0.2 = 20 = George's age.
So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.
Answer:
B= 44.9506°
Step-by-step explanation:
WE apply sine angle formula
Given angle C = 51, c= 11 and b = 10
Plug in the values
Cross multiply it
10 * sin(51) = 11* sin(B)
7.771459615 = 11 sin(B)
Now divide by 11 on both sides
0.706496328 = sin(B)
Now 
B= 44.9506°
