9. The slope for this one is 21 bc y1-y2/x1-x2 is the slope formula and this can be used between any two points (I used the first two) -30-(-54)/ 7-11 which is -84/-4= 21
10. Rate of change is the same thing as slope so 4.5-5/18-20 which is -0.5/-2 which means the rate of change is 2.5
11. 23-39/1-3 which is -16/-2 which means the rate of change is 8
12. 5/4 is 1.25 so the sports drink costs 1.25$ each
Hope this helped :)
First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.
5x = 3x+10 The variable should only be on one side of the equation,
5x - 3x = 10 Therefore subtract 3x from both sides
2x = 10 Divide by 2 on both sides.
x = 5
We're not done yet, since we've found the x-value we have to solve for ∠GEC.
∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°
∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°
90° = 25° + x In this case, we're using "x" to solve for ∠FEG
90-25 = x We subtract 25 from both sides to get the variable by itself.
65° = x
<h2>
∠FEG = 65° The Answer is B</h2>
Divide 24 by 3 to figure out how many cubes are in 1 step (24/3=8). Now divide 84 by 8 to figure out how many steps he built with 84 cubes (84/8=10.5). Ron's second staircase has 10 and a half steps :)
It should be 3.25
S is half the perimeter, so .5*(7+5+10)=11
Plug in 11 and you get A=sqrt(264)
A also is half base times height
sqrt(264)=.5*10*h
h=sqrt(264)/5
h=3.25
