Answer:A
Step-by-step explanation:
So I went from graph to slope intercept, So you take your x(Fat(g)) and your y(Calories) to solve.
The slope-intercept form for a line with the coordinates of (25,590) and (44,830) is:
y= 12.63x + 274.21
(results are in decimal form, rounded to the nearest 100th)
For Example: y=12.63(125)+274.21
y=1,852.96
We have to calculate the volume of the right rectangular prism.
lenght=4 1/2 in=(4+1/2) in=9/2 in
width=5 in
height=3 3/4 in=(3+3/4) in=15/4 in
Volume (right rectangular prism = lenght x width x height.
volume=9/2 in * 5 in * 15/4 in=675/8 in³
we calculate the volume of this little cube.
volume=side³
volume=(1/4 in )³=1/64 in³
Now, we calculate the number of small cubes are needed to fit the right rectangular pris by the rule of three.
1 small cube----------------1/64 in³
x---------------------------------675/8 in³
x=(1 small cube * 675/8 in³) / 1/64 in³=5400 small cubes.
Answer: we need 5400 small cubes to fit the right rectangular prism.
Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
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