$520 was earned by carl in last week
Step-by-step explanation:
(1/2 X - 20 ) = 240
1/2 X = 240 +20 = 260
X = 260÷1/2 = 520
verification
520 ÷2 = 260 - 20 = 240
Hence proved
46.085 to the nearest hundredth is 46.09 hope it helped ;)
The first thing I'd do is put this equation into standard slope - intercept form.
12x - 5y = 2 Subtract 12x from each side
-5y = -12x + 2 Divide each side by -5 to isolate the <em>y
</em><em />y = 12/5(x) - 2/5
The slope for this equation is 12/5, so we just take that and plug it into the slope - intercept equation with the given points (2, 3)
y = mx + b Fill in the variables
3 = 12/5(2) + b Simplify
3 = 24/5 + b Subtract 24/5 (or 4 4/5) from each side
-9/5 = b
Now we just fill in the correct variables (m and b) in the equation to have our final answer.
y = 12/5x - 9/5
Answer:
(i)unique solution
Explanation:
We solve for x1 thus in the first equation:
x1-3x3=-3
x1-9=-3
x1=-3+9
x1= 6
We solve for a thus in the second equation:
2x1+ax2-x3=-2
2+a2-x3=-2
a2-x3=-4
a2=-4+x3
Answer:
Step-by-step explanation:
The diagonals of a rhombus divides it into four congruent right triangles. Each triangle is a mirror image of the adjacent.
Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.
Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.
To summarize,
angle 1 = 33°
angle 2 = 57°
angle 3 = 57°
angle 4 = 33°