The opposite angles equal each other, so X and Z are equal
using that we solve for x by setting them equal:
6x-60 = 2x+68
subtract 2x from each side:
4x -60 = 68
add 60 to each side:
4x = 128
divide both sides by 4
x = 128/4
x = 32
now we know x so we can solve everything else by replacing x with 32
WY = 3x+5 = 3(32)+5 = 96+5 = 101
angle Z = 2x+68 = 2(32)+68 = 64+132
the answer is C
Answer:
Carl has 35 dimes and 90 quarters
Step-by-step explanation:
Let the number of quarters be q and the number of dimes be d
Total number of coins is 125;
Hence;
q + d = 125 •••••••••(i)
The total value of quarters present = q * 0.25 = 0.25q
The total value of dimes present = d * 0.1 = 0.1d
Adding both gives the total
0.25q + 0.1d =26 ••••••••(ii)
So we need to solve both equations simultaneously;
From i,
q = 125 - d
Substitute this into ii
0.25(125-d) + 0.1d = 26
31.25 -0.25d + 0.1d = 26
31.25 -26 = 0.25d -0.1d
5.25 = 0.15d
d = 5.25/0.15
d = 35
Recall; q = 125 - d = 125 -35 = 90
If you only used 13% then you used 4.42 pounds of dry ice.
To find the equation of this line in slope-intercept form (y = mx + b, where m is its slope and b is its y-intercept), we naturally need the slope and the y-intercept. We can see that the line intersects the y-axis at the point (0, 4) so our y-intercept is 4, and the line rises 4 along the y-axis for every 2 it runs along the x-axis, so its slope is 4/2 = 2. With this in mind, we can write the line's equation as
y = 2x + 4
