Answer:
103
Step-by-step explanation:
angles formed on the same line of a parallelogram are supplementary angles
( the angle with the measure of 77 degrees and the angle labeled "x" are formed on the same line which means they are supplementary )
supplementary angles add up to equal 180
hence, 77 + x = 180
180 - 77 = 103
Hence, x = 103
Answer:
he can buy 59,973 comic books
Step-by-step explanation:
20,000-9.00= 19,991
19,991*3(comic books for $1)= 59,973
The function is a parabola which opens downwards.
-x^2 - 2x + 15
-(x^2 + 2x) + 15
= -[(x + 1)^2 - 1 ]+ 15
= -(x + 1)^2 + 16
The domain is all real numbers and the range is {y|y <= 16}
Its the second choice.
In the formula of the distance between a point and a plane (not any plane but a plane parallel to the original one, equation [1] ), keeping <span>D=2</span>, and d as d itself, we get:
<span><span>D=<span><span>|a<span>x1</span>+b<span>y1</span>+c<span>z1</span>+d|</span><span>√<span><span>a2</span>+<span>b2</span>+<span>c2</span></span></span></span></span>
<span>2=<span><span><span>∣∣</span>1⋅0+2⋅0+<span>(−2)</span>⋅<span>(−<span>12</span>)</span>+d<span>∣∣</span></span><span>√<span>1+4+4</span></span></span></span>
<span><span>|d+1|</span>=2⋅3</span> => <span><span>|d+1|</span>=6</span>First solution:
<span>d+1=6</span> => <span>d=5</span>
<span>→x+2y−2z+5=0</span>Second solution:
<span>d+1=−6</span> => <span>d=−7</span>
<span>→x+2y−2z−7=<span>0</span></span></span>
Answer:
Hi! The correct answer is $75 for 20 hours.
Step-by-step explanation:
